winConfigure.batwinConfigure.bat also configures the repository you just created to use
-<<<<<<< HEAD
-.gitconfig in the repository, causing git to rquire to implement gpg signed
-commits – because cryptographic software is under attack from NSA,
-entryists, and shills, who seek to introduce backdoors.
This may be inconvenient if you do not have gpg installed and set up.
-It adds several git aliases:
-git lg to display the gpg trust information for the las three commits.
-For this to be useful you need to import the repository public key
-public_key.gpg` into gpg, and locally sign that key.git fixws to standardise white space to the project standardsgit graph to graph the commit tree, and git alias to display the git aliases..gitconfig in the repository, causing git to require to implement GPG signed
+.gitconfig in the repository, causing git to to implement GPG signed
commits – because cryptographic software is under attack from NSA
entryists, and shills, who seek to introduce backdoors.
This may be inconvenient if you do not have gpg installed and set up.
git fixws to standardise white space to the project standardsgit graph to graph the commit treegit alias to display the git aliases.# To verify that the signature on future pulls is unchanged.
+# To verify that the signature on future pulls is unchanged.
gpg --import public_key.gpg
gpg --lsign 096EAE16FB8D62E75D243199BC4482E49673711C
# We ignore the Gpg Web of Trust model and instead use
-# the Zooko identity model.
+# the Zooko identity model.
# We use Gpg signatures to verify that remote repository
# code is coming from an unchanging entity, not for
# Gpg Web of Trust. Web of Trust is too complicated
@@ -165,7 +150,7 @@ For this to be useful you need to import the repository public key
# or the email of someone whom you do not like.
To build the documentation in its intended html form from the markdown
files, execute the bash script file docs/mkdocs.sh, in an environment where
-pandoc is available. On Windows, if Git Bash and Pandoc has bee
+pandoc is available. On Windows, if Git Bash and Pandoc has been
installed, you should be able to run a shell file in bash by double clicking on it.
Pre alpha release, which means it does not yet work even well enough for
it to be apparent what it would do if it did work.
diff --git a/README.md b/README.md
index 6fc6828..1a28457 100644
--- a/README.md
+++ b/README.md
@@ -48,11 +48,11 @@ This may be inconvenient if you do not have `gpg` installed and set up.
1. `git alias` to display the git aliases.
```bash
-# To verify that the signature on future pulls is unchanged.
+# To verify that the signature on future pulls is unchanged.
gpg --import public_key.gpg
gpg --lsign 096EAE16FB8D62E75D243199BC4482E49673711C
# We ignore the Gpg Web of Trust model and instead use
-# the Zooko identity model.
+# the Zooko identity model.
# We use Gpg signatures to verify that remote repository
# code is coming from an unchanging entity, not for
# Gpg Web of Trust. Web of Trust is too complicated
diff --git a/RELEASE_NOTES.html b/RELEASE_NOTES.html
index b330f9a..239beb0 100644
--- a/RELEASE_NOTES.html
+++ b/RELEASE_NOTES.html
@@ -6,39 +6,39 @@
Release Notes
-
-
-
+
+
+
diff --git a/bit_hacks.h b/bit_hacks.h
index 8e84b7e..21a4673 100644
--- a/bit_hacks.h
+++ b/bit_hacks.h
@@ -73,30 +73,3 @@ inline auto trailing_zero_bits(uint64_t v) {
}
return c;
}
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
\ No newline at end of file
diff --git a/display_wallet.h b/display_wallet.h
index bc5a9b6..d3ded93 100644
--- a/display_wallet.h
+++ b/display_wallet.h
@@ -10,7 +10,3 @@ private:
wxBoxSizer* m_lSizer;
wxBoxSizer* m_rSizer;
};
-
-
-
-
diff --git a/docs/Massive_Parallelism.html b/docs/Massive_Parallelism.html
index acca1f1..67ec696 100644
--- a/docs/Massive_Parallelism.html
+++ b/docs/Massive_Parallelism.html
@@ -1,40 +1,40 @@
-
-
-
- Massive Parallelism
+
+ Massive Parallelism
Digital Ocean, Docker, microservices, Rest, Json and protocol buffers.
-
+
The world is drifting towards handling massive parallelism through https microservices.
Typically you have an nginx reverse proxy distributing https requests to a swarm of docker instances of node.js
These communicate by rest, which means that http get and post map to wrapped database operations. On the wire the data is represented as JSON, protocol buffers, or ASN.1.
-
+
JSON being by far the most popular, despite its inefficiency. It is a strictly text format, that is in principle human readable, though YAML is JSON variant that is far more human readable.
-
+
Numerous docker instances keep in agreement through the Mongo database, which handles the syncrhonization of massive parallelism, possibly through a sharded cluster. Mongo communicates in binary, but everyone wants to talk to it in JSON, so it has a sort of bastard binary JSON, and can also talk real JSON.
-
+
The great use of Mongo is coordinating numerous instances, which rapidly runs into scaling problems. Mongo is shardable, albeit sharding it is non trivial.
-
+
Each instance of these massively parallel applications are contained in docker containers, which are themselves contained in VMs. A docker container is a sort of lightweight VM, which always represents a live, fully configured, running machine, which provides various services over the network, and any permanent effects are stored on a database that is apt to be external to the docker container, so that the virtual machine can be casually destroyed and restarted.
-
+
To provide private keys to the docker container, have a volume that only one local user has access to, and mount it to the docker container. It then uses that key to get all the other secret keys, possibly by using crypt. But this seems kind of stupid. How about it generates its own unique private key, and then gets that key blessed – in the process of accepting the authority of the blessing key.
-
+
When launched, hits up a service to get its key blessed and register its availability, and thereafter accepts whatever commands are issued on the key chain issued when first it showed up.
These documents are
licensed under the Creative
-Commons Attribution-Share Alike 3.0 License
+Commons Attribution-Share Alike 3.0 License
diff --git a/docs/May_scale_of_monetary_hardness.html b/docs/May_scale_of_monetary_hardness.html
index a8d4d8c..952c0de 100644
--- a/docs/May_scale_of_monetary_hardness.html
+++ b/docs/May_scale_of_monetary_hardness.html
@@ -1,8 +1,8 @@
-
-
-
- Bitrot, Protocol Negotiation, and the Confused Deputy Problem
+
+ Bitrot, Protocol Negotiation, and the Confused Deputy Problem
-
- Bitrot and Protocol Negotiation
+
+ Bitrot and Protocol Negotiation
The problem
One particular case of the bitrot problem was the Microsoft Windows
- problem known as “DLL Hell”, DLLs being binary dynamically linked
- libraries in Microsoft Windows.
-
- Over time these libraries tended to be upgraded, improved, and changed,
- and programs written for the old libraries would develop bugs with the new
- libraries, sometimes these bugs were crash and burn bugs, “bitrot”,
- sometimes there were unexpected interactions between programs using the
- same library, which caused one program to accidentally foul up another, or
- enabled one program to maliciously manipulate another.
-
- This problem was solved. The solution was “COM”. In COM, dynamic
- linking necessarily involves version negotiation. Mandatory version
- negotiation largely relieves bitrot.
-
- In COM, in accordance with Zooko’s triangle, each version of a library’s
- behavior, each library interface, has three names. Describing those names
- and their behavior from the point of view of Zooko’s triangle, which is
- not how most Microsoft programmers would describe them or think about
- them:
-
-
+ problem known as “DLL Hell”, DLLs being binary dynamically linked
+ libraries in Microsoft Windows.
+
+ Over time these libraries tended to be upgraded, improved, and changed,
+ and programs written for the old libraries would develop bugs with the new
+ libraries, sometimes these bugs were crash and burn bugs, “bitrot”,
+ sometimes there were unexpected interactions between programs using the
+ same library, which caused one program to accidentally foul up another, or
+ enabled one program to maliciously manipulate another.
+
+ This problem was solved. The solution was “COM”. In COM, dynamic
+ linking necessarily involves version negotiation. Mandatory version
+ negotiation largely relieves bitrot.
+
+ In COM, in accordance with Zooko’s triangle, each version of a library’s
+ behavior, each library interface, has three names. Describing those names
+ and their behavior from the point of view of Zooko’s triangle, which is
+ not how most Microsoft programmers would describe them or think about
+ them:
+
+
- The GUID, the globally unique identifier, a very large random number,
- a number so large that it was unlikely that any two libraries or two
- versions would randomly choose the same number. Compiled software
- interacts with other compiled software using this identifier.
-
+ a number so large that it was unlikely that any two libraries or two
+ versions would randomly choose the same number. Compiled software
+ interacts with other compiled software using this identifier.
+
- The nickname, a human readable user friendly name and version number,
- which is not necessarily globally unique. “Nickname” is Zooko’s
- terminology, not what Microsoft calls them. Humans writing code to be
- interpreted may use the nickname, though the correct behavior would be
- for the code writer to use the petname, and for the development
- environment to insert the appropriate GUID, if no GUID is specified, and
- adjust the petname to its local value if the GUID is specified.
-
+ which is not necessarily globally unique. “Nickname” is Zooko’s
+ terminology, not what Microsoft calls them. Humans writing code to be
+ interpreted may use the nickname, though the correct behavior would be
+ for the code writer to use the petname, and for the development
+ environment to insert the appropriate GUID, if no GUID is specified, and
+ adjust the petname to its local value if the GUID is specified.
+
- It may, and should, have a petname, its registry key, a humanly
readable user friendly local name which is guaranteed unique on the
- particular computer on which the library (ActiveX object) has been
- installed, but is not necessarily meaningful to the world at large,
- though this is not quite implemented. Again, petname is Zooko’s
- terminology, not what Microsoft calls them. The petname, if it
- exists, is automatically generated from the nickname. Error
- messages should use the petname, though they tend to use the nickname.
-
-
- In order for a program to connect to any COM library (what Microsoft
- calls an ActiveX object), it has to do protocol negotiation in order to
- get an interface, has to ask for the interface by its globally unique
- identifier, so the library always knows what version of the library the
- program expects, and will provide that behavior, or, if it cannot provide
- that behavior, the program will fail immediately with an error message
- explaining the problem.
-
- This solution worked. It solved DLL hell, solved bitrot.
-
-
- Windows implementation of this solution was less successful in dealing
- with another problem – library calls often cross thread and process
- boundaries. They provided a general purpose threading solution, also part
- of COM, which was hideously complicated and failed dismally. But
- they fixed bitrot.
-
- Cross thread and cross process interactions usually wind up being
- implemented as message streams and message queues. The correct
- approach is to make this explicit, to define the interface as a message
- protocol, rather than attempting to hide the underlying message queue
- behavior as Microsoft did and pretend it is an ordinary synchronous object
- method. Where COM runs on top of message queues, as it does whenever
- a call crosses thread or process boundaries, the result is intolerable
- obscurity, complexity, and inefficiency – which is still a lot better than
- the bitrot that it fixed.
-
+ particular computer on which the library (ActiveX object) has been
+ installed, but is not necessarily meaningful to the world at large,
+ though this is not quite implemented. Again, petname is Zooko’s
+ terminology, not what Microsoft calls them. The petname, if it
+ exists, is automatically generated from the nickname. Error
+ messages should use the petname, though they tend to use the nickname.
+
+
+ In order for a program to connect to any COM library (what Microsoft
+ calls an ActiveX object), it has to do protocol negotiation in order to
+ get an interface, has to ask for the interface by its globally unique
+ identifier, so the library always knows what version of the library the
+ program expects, and will provide that behavior, or, if it cannot provide
+ that behavior, the program will fail immediately with an error message
+ explaining the problem.
+
+ This solution worked. It solved DLL hell, solved bitrot.
+
+
+ Windows implementation of this solution was less successful in dealing
+ with another problem – library calls often cross thread and process
+ boundaries. They provided a general purpose threading solution, also part
+ of COM, which was hideously complicated and failed dismally. But
+ they fixed bitrot.
+
+ Cross thread and cross process interactions usually wind up being
+ implemented as message streams and message queues. The correct
+ approach is to make this explicit, to define the interface as a message
+ protocol, rather than attempting to hide the underlying message queue
+ behavior as Microsoft did and pretend it is an ordinary synchronous object
+ method. Where COM runs on top of message queues, as it does whenever
+ a call crosses thread or process boundaries, the result is intolerable
+ obscurity, complexity, and inefficiency – which is still a lot better than
+ the bitrot that it fixed.
+
The blockchain solution
-
+
A pool is a shared collection of transactions with a single schema and protocol, but no global transaction order.
-
+
A blockchain is a shared collection of transactions with a single schema and protocol with a global order and a sequence number for every transaction. Every blockchain has a pool, and transactions are added from the pool to the blockchain by a process for constructing consensus on order.
-
+
There will be many blockchains, though we would prefer only one. One is likely to emerge supreme, but there will always be forks and competing blockchains, and forks and competition have to be lived with until they are resolved, which is apt to take a long time.
-
+
Because establishing a global order is costly, there will be many pools without blockchains. If you don’t need a global order on transactions, don’t pay the costs of constructing one. Usenet was an immensely valuable pool without global order, and it was a great pity that it died. I want to replace it.
-
+
There will be necessarily be many schemas and many protocols. A blockchain should assign a globally unique arbitrary precision number to each pool, schema, and protocol, but there will be more than one blockchain, and pools outside any one blockchain.
-
+
Although the number is in principle arbitrary precision, each peer, host, and client will have an arbitrary limit to the precision of the identifiers that they will handle. They have to be able to handle at least sixty three bits, often sixty four bits, and have to be able to fail gracefully with identifiers that exceed their precision. Anything with an identifier that exceeds their precision limit will not exist for them. In practice, most identifiers are likely to less than eight bits.
-
+
A peer continually checks in full that its blockchain follows or follows from the blockchain of its peers, an operation that is costly. It terminates communication with any peer that is forking. A client treats its host peer’s version of the blockchain is the authoritative one true version of the blockchain.
-
+
A client necessarily has communications with many peer hosts. If one of its peer hosts has a block number and root hash for that block of the blockchain that is different from that of another peer host, it has to terminate communications with one peer host or the other, and terminate interactions concerning that blockchain with other clients that rely on a peer host with discrepant block for what is purportedly the same blockchain.
-
+
Every blockchain, every pool, every schema, and every protocol has a short human readable name, but this name is not necessarily globally unique. Indeed, for schemas and protocols, certainly not globally unique, because schemas and protocols are always being updated, and we don’t want to change the name every time, and pools are continually being updated, with no two peers on a pool necessarily having exactly the same pool.
-
+
A blockchain on one peer is the same as the blockchain on another peer if its root hash is the same, or follows, or follows from, the root hash on the other peer, but for pools, we have no definition of a pool being the same that a computer can check. But a pool has a schema and a protocol, and that the computer can check.
-
+
Schemas and protocols have version numbers, which are deweydecimal sequences of arbitrary precision integers, but even these are not guaranteed to be globally unique, though any one blockchain may choose to ensure that the list of schemas and protocols for which it provides unique arbitrary precision identifers have globally unique names and deweydecimal numbers.
-
+
The globally unique identifier of a schema or protocol is a thirty two byte probabilistically unique number, which may be the twenty byte globally unique identifier of a git commit, preceded by as much of the start of the name and the trailing end of the dewey decimal sequence as fits, albeit likely not much fits in twelve bytes.
-
+
When establishing communication, the setup relies on a hash value that employs the globally unique identifiers of everything relevant to the communication, so that communication will immediately and gracefully fail if the parties establishing communication are in disagreement about what protocols and and schemas they are employing. But first they have to figure out what protocols and schemas the other party is using, relying on identifiers that could potentially have conflicting meanings.
-
+
When establishing communication in a blockchain context, they rely on blockchain unique arbitrary precision integer identifying the schema or protocol. But there may be no such agreed context, or they may be communicating about a pool that is not on the blockchain, or not on any blockchain, for example a transient pool set up to establish a shared multiparty transaction to mingle crypto currency, which requires a blockchain context, but will not be identified by the blockchain, though it will rely on a schema and protocol that is identified by the blockchain.
-
+
A transient pool set up to organize a multiparty transaction has a nickname, petname, and deweydecimal number, which deweydecimal is likely to be the number of pools of that name the entity starting the pool has attempted, hence highly likely to not be globally unique, or even blockchain unique. Maybe not even unique to that entity.
-
+
To identify a pool, a schema, or a protocol in a context where there is no authortative guarantee of unique integer identifier, the parties send a fragment of the probabilistically unique thirty two byte identifier, consisting of a four bit multiple of sixteen bits of offset into that identifier, and sixty bits of the intentifier. Thus each full 256 bit identifier has sixteen possible 64 bit identifers. The parties systematically or randomly change which of the sixteen they use, in order to escape collisions.
-
+
The parties look up a hash table of recently used 64 bit identifiers, and if that fails, an associative array of sixty four bit identifers. If there is a collision between sixty four bit identifiers, neither of the colliding sixty four bit entries are entered into the associative array, but when a twofiftysix bit identifier is used that was not found in the hash table, all sixteen sixty four bit identifiers go into the hash table, so that a seldom used two hundred and fifty six bit identifier that has a colliding sixty four bit identifier has its colliding identifier masked by a frequently used two hundred and fifty six bit identifier.
-
+
In the unlikely event that a collision exists in the space of all sixtyfour bit identifiers known to a particular entity in the associative array, it cannot collide in the space of sixtyfour bit recently used identifiers in the hash table.
-
+
Thus a pool, a schema, a blockchain, or a protocol is identified by its far from unique nickname and petname, its name plus its usually but not necessarily unique deweydecimal number, its globally unique 256 bit identifier, and sixteen sixty four bit identifiers, which are overwhelmingly likely to be unique, but can fail (very very rarely). If the sixtyfour bit identifier fails then the communication fails that one time, but will succeed, with at least fifteen sixteenths probability, another time.
-
+
In the highly unlikely event that an identifier has a sixty four bit collision with a commonly used identifier, this is a a problem for the less commonly used identifier, since one in sixteen connections will fail. If a hash table has eight thousand entries, corresponding to five hundred commonly used entities, the likelihood of any one randomly generated long identifier having a collision of one of its sixteen short identiers with a commonly used identifier is one in 100 000 000 000 000, which is too low to worry about. Potential collisions between two rarely used identifiers do not matter, because if someone is using a rarely used identifier, it likely to be commonly used identifier for him and the people he is communicating with.
-
+
The worst case is a collision between two commonly used identifiers, but the more restrictively we define "common" the less likely such a collision. If a group of people are commonly using fifty entities, then the chance that two of those entities have a collision in one of their sixty four bit identifers, resulting in one of their entities leading to communication failure one sixteenth of the time, is one in 30 000 000 000 0000.
-
+
When setting up a pool for a multi party transaction, the parties initially communicate with each other in a namespace controlled by a single blockchain, hence have blockchain unique identifiers for protocols and schemas, hence the only collision possible is between pools, and there will not be all that many multiparty transactions going at any one time among the people a party is interacting with, though the number of possible multiparty transactions being organized at any one time is potentially very large.
-
+
If the user is looking for subscrbers to a particular pool among subscribers to a hundred thousand pools, each subscriber subscribing to a hundred pools, it will be enormously rare for him to misidentify a subscriber to a different pool as a subscriber to his own pool and then attempt to communicate with that subscriber, and such misidentification will merely slow things down imperceptibly, not halt things. The communication with that subscriber will simply fail. Failure for other reasons is enormously more probable.
-
+
Sixtyfour bit identifiers suffice for most practical purposes, provided that the communication protocol is such that misidentification of the corresponding twohundredfiftysix bit identifier results in immediate graceful communication failure.
-
+
There are some cases where sixty four bits do not suffice, for example identifying a transaction on the blockchain. In such cases, we use the blockchain transaction sequence number, which is globally unique to the blockchain, or the full twofiftysix bit identifier, which is proabilistically unique. An entity in the context of a blockchain is identified by its transaction number, and its output/input number within the transaction, though the blockchain itself is identified merely by a short human readable string, which in the presence of forks and competition, is likely to cause potential misidentification. The sequence number of inputs to a transaction follows, rather than precedes, the sequence number of inputs, which resolves potential ambiguity at an average waste of one bit in the rare case that one references an input, rather than an output.
-
+
Fully general solution
-
+
If there was a consensus on what identifiers were common, we could get away with variable length identifiers. But this leads to the TLA problem. Hard to establish a consensus, hard to know what it is. If you have a system that drifts towards consensus, such as the english language, what drives the drift is that collision problems happen. But you don’t want collision problems to happen, because then you need rather complex code for handling that case, and a complex data structure to describe estimates of what the consensus likely is.
-
+
So, we have an identifer that establishes an explicit context, a map of probabilistically unique twofiftysix bit identifiers to indefinite precision integers and to short human readable strings. The blockchain provides such a mapping, and the pool references the blockchain. But a pool cannot contain such a mapping, unless it has its own blockchain.
-
-
+
+
These documents are
licensed under the Creative
-Commons Attribution-Share Alike 3.0 License
+Commons Attribution-Share Alike 3.0 License
diff --git a/docs/block_google_analytics.html b/docs/block_google_analytics.html
index a5e2def..6505959 100644
--- a/docs/block_google_analytics.html
+++ b/docs/block_google_analytics.html
@@ -1,22 +1,22 @@
-
-
-
- Block Google Analytics
+
+ Block Google Analytics
To Home page
Block Google Analytics
Most internet sites use Google Analytics, which downloads an enormous pile of javascript on your browser, which systematically probes your system for one thousand and one privacy holes and weaknesses and reports back to Google Analytics, which then shares some of their spy data with the site that surreptitiously downloaded their enormous pile of hostile spy attack code onto your computer.
-
+
Modify your hosts file to include the following lines:
0.0.0.0 google-analytics.com
0.0.0.0 www.google-analytics.com
diff --git a/docs/blockdag_consensus.md b/docs/blockdag_consensus.md
index 02f1294..522a753 100644
--- a/docs/blockdag_consensus.md
+++ b/docs/blockdag_consensus.md
@@ -303,7 +303,7 @@ For a bunch of algorithms that plausibly claim to approach the upload
limit, see:
* [Scalable and probabilistic leaderless bft consensus through metastability](https://files.avalabs.org/papers/consensus.pdf)
-
+
This explains the underlying concept, that a peer looks at the dag,
make its best guess as to which way consensus is going, and joins
the seeming consensus, which make it more likely to become the
@@ -361,7 +361,7 @@ limit, see:
Another blockdag algorithm, but one whose performance has been tested. Can handle high bandwidth, lots of transactions, and achieves fast Byzantine fault resistant total order consensus in time $O(6λ)$, where λ is the upper bound of the network’s gossip period.
* [Blockchai–free cryptocurrencies: A framework for truly decentralised fast transactions](https://eprint.iacr.org/2016/871.pdf)
-
+
These transactions are indeed truly decentralized, fast, and free from
blocks, assuming all participants download the entire set of
transactions all the time.
@@ -404,7 +404,7 @@ understood as academic illustrations of the idea of the general algorithm
for fast and massive blockdag consensus, and not necessarily intended as
ready to roll implementations of that idea.
-Here is an even more vague outline of my variant of this idea, I name
+Here is an even more vague outline of my variant of this idea, I name
Yabca “Yet another blockdag consensus algorithm”,
I propose proof of stake. The stake of a peer is not the stake it owns, but
diff --git a/docs/byzantine_paxos.md b/docs/byzantine_paxos.md
new file mode 100644
index 0000000..000e043
--- /dev/null
+++ b/docs/byzantine_paxos.md
@@ -0,0 +1,644 @@
+---
+# katex
+# notmine
+title: >-
+ Practical Byzantine Fault Tolerance
+---
+
+::: centre
+Appears in the Proceedings of the Third Symposium on Operating Systems Design and Implementation, New Orleans, USA, February 1999
+
+Miguel Castro and Barbara Liskov
+
+Laboratory for Computer Science, Massachusetts Institute of Technology, 545
+
+Technology Square, Cambridge, MA 02139
+:::
+
+# Abstract
+
+This paper describes a new replication algorithm that is able to tolerate Byzantine faults. We believe that Byzantine-fault-tolerant algorithms will be increasingly important in the future because malicious attacks and software errors are increasingly common and can cause faulty nodes to exhibit arbitrary behavior. Whereas previous algorithms assumed a synchronous system or were too slow to be used in practice, the algorithm described in this paper is practical: it works in asynchronous environments like the Internet and incorporates several important optimizations that improve the response time of previous algorithms by more than an order of magnitude. We implemented a Byzantine-fault-tolerant NFS service using our algorithm and measured its performance. The results show that our service is only 3% slower than a standard unreplicated NFS.
+
+# Introduction
+Malicious attacks and software errors are increasingly common. The growing reliance of industry and government on online information services makes malicious attacks more attractive and makes the consequences of successful attacks more serious. In addition, the number of software errors is increasing due to the growth in size and complexity of software. Since malicious attacks and software errors can cause faulty nodes to exhibit Byzantine (i.e., arbitrary) behavior, Byzantine-fault-tolerant algorithms are increasingly important.
+
+This paper presents a new, *practical* algorithm for state machine replication [17, 34] that tolerates Byzantine faults. The algorithm offers both liveness and safety
+provided at most $\lfloor\frac{(n-1)}{3}\rfloor$ out of a total of $n$
+replicas are simultaneously faulty. This means that clients eventually receive replies to their requests and those replies are correct according to linearizability [14, 4]. The algorithm works in asynchronous systems like the Internet and it incorporates important optimizations that enable it to perform efficiently. \
+
+There is a significant body of work on agreement and replication techniques that tolerate Byzantine faults (starting with [19]). However, most earlier work (e.g., [3, 24, 10]) either concerns techniques designed to demonstrate theoretical feasibility that are too inefficient to be used in practice, or assumes synchrony, i.e., relies on known bounds on message delays and process speeds. The systems closest to ours, Rampart [30] and SecureRing [16], were designed to be practical, but they rely on the synchrony assumption for correctness, which is dangerous in the presence of malicious attacks. An attacker may compromise the safety of a service by delaying non-faulty nodes or the communication between them until they are tagged as faulty and excluded from the replica group. Such a denial-of-service attack is generally easier than gaining control over a non-faulty node.
+
+Our algorithm is not vulnerable to this type of attack because it does not rely on synchrony for safety. In addition, it improves the performance of Rampart and SecureRing by more than an order of magnitude as explained in Section 7. It uses only one message round trip to execute read-only operations and two to execute read-write operations. Also, it uses an efficient authentication scheme based on message authentication codes during normal operation; public-key cryptography, which was cited as the major latency [29] and throughput [22] bottleneck in Rampart, is used only when there are faults.
+
+To evaluate our approach, we implemented a replication library and used it to implement a real service: a Byzantine-fault-tolerant distributed file system that supports the NFS protocol. We used the Andrew benchmark [15] to evaluate the performance of our system. The results show that our system is only 3% slower than the standard NFS daemon in the Digital Unix kernel during normal-case operation.
+
+Thus, the paper makes the following contributions:
+
+* It describes the first state-machine replication protocol that correctly survives Byzantine faults in asynchronous networks.
+
+* It describes a number of important optimizations that allow the algorithm to perform well so that it can be used in real systems.
+
+* It describes the implementation of a Byzantine-fault�tolerant distributed file system.
+
+* It provides experimental results that quantify the cost of the replication technique.
+
+The remainder of the paper is organized as follows. We begin by describing our system model, including our failure assumptions. Section 3 describes the problem solved by the algorithm and states correctness conditions. The algorithm is described in Section 4 and some important optimizations are described in Section 5. Section 6 describes our replication library and how we used it to implement a Byzantine-fault-tolerant NFS. Section 7 presents the results of our experiments. Section 8 discusses related work. We conclude with a summary of what we have accomplished and a discussion of future research directions.
+
+# System Model
+
+We assume an asynchronous distributed system where nodes are connected by a network. The network may fail to deliver messages, delay them, duplicate them, or deliver them out of order.
+
+We use a Byzantine failure model, i.e., faulty nodes may behave arbitrarily, subject only to the restriction mentioned below. We assume independent node failures. For this assumption to be true in the presence of malicious attacks, some steps need to be taken, e.g., each node should run different implementations of the service code and operating system and should have a different root password and a different administrator. It is possible to obtain different implementations from the same code base [28] and for low degrees of replication one can buy operating systems from different vendors. N-version programming, i.e., different teams of programmers produce different implementations, is another option for some services.
+
+We use cryptographic techniques to prevent spoofing and replays and to detect corrupted messages. Our messages contain public-key signatures [33], message authentication codes [36], and message digests produced by collision-resistant hash functions [32]. We denote a message $m$ signed by node $i$ as $\{m\}σ_i$
+and the digest of message $m$ by $D(m)$ . We follow the common practice of signing a digest of a message and appending it to the plaintext of the message rather than signing the full message $(\{m\}σ_i)$ should be interpreted in this way$)$. All replicas know the others' public keys to verify signatures.
+
+We allow for a very strong adversary that can coordinate faulty nodes, delay communication, or delay correct nodes in order to cause the most damage to the replicated service. We do assume that the adversary cannot delay correct nodes indefinitely. We also assume that the adversary (and the faulty nodes it controls) are computationally bound so that (with very high probability) it is unable to subvert the cryptographic techniques mentioned above. For example, the adversary cannot produce a valid signature of a non-faulty node, compute the information summarized by a digest from the digest, or fnd two messages with the same digest. The cryptographic techniques we use are thought to have these properties [33, 36, 32].
+
+# Service Properties
+
+Our algorithm can be used to implement any deterministic replicated *service* with a *state* and some *operations*. The operations are not restricted to simple reads or writes of portions of the service state; they can perform arbitrary deterministic computations using the state and operation arguments. Clients issue requests to the replicated service to invoke operations and block waiting for a reply. The replicated service is implemented by $n$ replicas. Clients and replicas are non-faulty if they follow the algorithm in Section 4 and if no attacker can forge their signature.
+
+The algorithm provides both *safety* and *liveness* assuming no more than
+ $\lfloor\frac{(n-1)}{3}\rfloor$ replicas are faulty. Safety means that the replicated service satisfes linearizability [14] (modified to account for Byzantine-faulty clients [4]): it behaves like a centralized implementation that executes operations atomically one at a time. Safety requires the bound on the number of faulty replicas because a faulty replica can behave arbitrarily, e.g., it can destroy its state.
+
+ Safety is provided regardless of how many faulty clients are using the service (even if they collude with faulty replicas): all operations performed by faulty clients are observed in a consistent way by non-faulty clients. In particular, if the service operations are designed to preserve some invariants on the service state, faulty clients cannot break those invariants.
+
+The safety property is insufficient to guard against faulty clients, e.g., in a file system a faulty client can write garbage data to some shared file. However, we limit the amount of damage a faulty client can do by providing access control: we authenticate clients and deny access if the client issuing a request does not have the right to invoke the operation. Also, services may provide operations to change the access permissions for a client. Since the algorithm ensures that the effects of access revocation operations are observed consistently by all clients, this provides a powerful mechanism to recover from attacks by faulty clients.
+
+The algorithm does not rely on synchrony to provide safety. Therefore, it must rely on synchrony to provide liveness; otherwise it could be used to implement consensus in an asynchronous system, which is not possible [9]. We guarantee liveness, i.e., clients eventually receive replies to their requests, provided at most $\lfloor\frac{(n-1)}{3}\rfloor$ replicas are faulty and $delay(t)$ does not grow faster than $t$ indefinitely. Here, delay is the time between the moment when a message is sent for the first time and the moment when it is received by its destination (assuming the sender keeps retransmitting the message until it is received). (A more precise definition can be found in [4].) This is a rather weak synchrony assumption that is likely to be true in any real system provided network faults are eventually repaired, yet it enables us to circumvent the impossibility result in [9].
+
+The resiliency of our algorithm is optimal: $3f+1$ is the minimum number of replicas that allow an asynchronous system to provide the safety and liveness properties when up to $f$ replicas are faulty (see [2] for a proof). This many replicas are needed because it must be possible to proceed after communicating with $n-f$ replicas, since $f$ replicas might be faulty and not responding. However, it is possible that the replicas that did not respond are not faulty and, therefore, $f$ of those that responded might be faulty. Even so, there must still be enough responses that those from non-faulty replicas outnumber those from faulty ones, i.e., $n-2f>f$. Therefore $n>3f$.
+
+The algorithm does not address the problem of fault-tolerant privacy: a faulty replica may leak information to an attacker. It is not feasible to offer fault-tolerant privacy in the general case because service operations may perform arbitrary computations using their arguments and the service state; replicas need this information in the clear to execute such operations efficiently. It is possible to use secret sharing schemes [35] to obtain privacy even in the presence of a threshold of malicious replicas [13] for the arguments and portions of the state that are opaque to the service operations. We plan to investigate these techniques in the future.
+
+# The Algorithm
+
+Our algorithm is a form of ${state}\, {machine}$ replication [17, 34]: the service is modelled as a state machine that is replicated across different nodes in a distributed system. Each state machine replica maintains the service state and implements the service operations. We denote the set of replicas by $R$ and identify each replica using an integer in $\{0, ..., |R|-1\}$. For simplicity, we assume
+$|R|=3f+1$
+where $f$ is the maximum number of replicas that may be faulty; although there could be more than $3f+1$
+replicas, the additional replicas degrade performance (since more and bigger messages are being exchanged) without providing improved resiliency.
+
+The replicas move through a succession of configurations called views. In a view one replica is the primary and the others are backups. Views are numbered consecutively. The primary of a view is replica $p$ such that $p=v\mod|R|$, where $v$
+is the view number. View changes are carried out when it appears that the primary has failed. View stamped Replication [26] and Paxos [18] used a similar approach to tolerate benign faults (as discussed in Section 8.)
+
+The algorithm works roughly as follows:
+
+1. A client sends a request to invoke a service operation to the primary
+
+1. The primary multicasts the request to the backups
+
+1. Replicas execute the request and send a reply to the client
+
+1. The client waits for $f+1$ replies from different replicas with the same result; this is the result of the operation.
+
+Like all state machine replication techniques [34], we impose two requirements on replicas: they must be *deterministic* (i.e., the execution of an operation in a given state and with a given set of arguments must always produce the same result) and they must start in the same state. Given these two requirements, the algorithm ensures the safety property by guaranteeing that *all non-faulty replicas agree on a total order for the execution of requests despite failures*.
+
+The remainder of this section describes a simplified version of the algorithm. We omit discussion of how nodes recover from faults due to lack of space. We also omit details related to message retransmissions. Furthermore, we assume that message authentication is achieved using digital signatures rather than the more efficient scheme based on message authentication codes; Section 5 discusses this issue further. A detailed formalization of the algorithm using the I/O automaton model [21] is presented in [4].
+
+## The Client
+
+A client $c$ requests the execution of state machine operation $o$ by sending\
+$\{$REQUEST$,o,t,c\}σ_i$
+message to the primary. Timestamp $t$
+is used to ensure *exactly-once* semantics for the execution of client requests. Timestamps for
+$c$'s requests are totally ordered such that later requests have higher timestamps than earlier ones; for example, the timestamp could be the value of the client's local clock when the request is issued.
+
+Each message sent by the replicas to the client includes the current view number, allowing the client to track the view and hence the current primary. A client sends a request to what it believes is the current primary using a point-to-point message. The primary atomically multicasts the request to all the backups using the protocol described in the next section.
+
+A replica sends the reply to the request directly to the client. The reply has the form\
+$\{$REPLY$, v, t, c, i, r\}σ_i$ where $v$
+is the current view number,
+$t$ is the timestamp of the corresponding request,
+$i$ is the replica number, and
+$r$ is the result of executing the requested operation.
+
+The client waits for
+$f+1$ replies with valid signatures from different replicas, and with the same $t$ and $r$ before accepting the result $r$. This ensures that the result is valid, since at most $f$ replicas can be faulty.
+
+If the client does not receive replies soon enough, it broadcasts the request to all replicas. If the request has already been processed, the replicas simply re-send the reply; replicas remember the last reply message they sent to each client. Otherwise, if the replica is not the primary, it relays the request to the primary. If the primary does not multicast the request to the group, it will eventually be suspected to be faulty by enough replicas to cause a view change.
+
+In this paper we assume that the client waits for one request to complete before sending the next one. But we can allow a client to make asynchronous requests, yet preserve ordering constraints on them.
+
+## Normal-Case Operation
+
+The state of each replica includes the state of the service, a $message\,log$ containing messages the replica has accepted, and an integer denoting the replica's current view. We describe how to truncate the log in Section 5.3.
+
+When the primary, $p$
+, receives a client request, $m$
+, it starts a three-phase protocol to atomically multicast the request to the replicas. The primary starts the protocol immediately unless the number of messages for which the protocol is in progress exceeds a given maximum. In this case, it buffers the request. Buffered requests are multicast later as a group to cut down on message traffic and CPU overheads under heavy load;this optimization is similar to a group commit in transactional systems [11]. For simplicity, we ignore this optimization in the description below.
+
+The three phases are *pre-prepare, prepare*, and *commit*. The pre-prepare and prepare phases are used to totally order requests sent in the same view even when the primary, which proposes the ordering of requests, is faulty. The prepare and commit phases are used to ensure that requests that commit are totally ordered across views.
+
+In the pre-prepare phase, the primary assigns a sequence number, $n$
+, to the request, multicasts a pre-prepare message with $m$
+piggybacked to all the backups, and appends the message to its log. The message has the form $\{\{$PRE-PREPARE$, v, n, d\}σ_i,m\}$, where $v$ indicates the view in which the message is being sent,
+$m$ is the client's request message, and
+is $d$ is $m$'s digest.
+
+Requests are not included in pre-prepare messages to keep them small. This is important because pre-prepare messages are used as a proof that the request was assigned sequence number $n$
+in view $v$
+in view changes. Additionally, it decouples the protocol to totally order requests from the protocol to transmit the request to the replicas; allowing us to use a transport optimized for small messages for protocol messages and a transport optimized for large messages for large requests.
+
+A backup accepts a pre-prepare message provided:
+
+* the signatures in the request and the pre-prepare message are correct and
+$d$ is the digest for $m$:
+* it is in view $v$:
+* it has not accepted a pre-prepare message for view $v$ and sequence number $n$
+containing a different digest;
+* the sequence number in the pre-prepare message is between a low water mark, $h$
+, and a high water mark, $H$.
+
+The last condition prevents a faulty primary from exhausting the space of sequence numbers by selecting a very large one. We discuss how $H$ and $h$
+advance in Section 5.3.
+
+If backup $i$
+accepts the $\{$PRE-PREPARE$, v, n, d\}σ_i,m\}$
+message, it enters the prepare phase by multicasting a\
+$\{$PREPARE$,v,n,d,i\}σ_i$
+message to all other replicas and adds both messages to its log. Otherwise, it does nothing.
+
+A replica (including the primary) accepts prepare messages and adds them to its log provided their signatures are correct, their view number equals the replica's current view, and their sequence number is between $h$
+and $H$.
+
+We define the predicate *prepared*$(m,v,n,i)$
+to be true if and only if replica $i$
+has inserted in its log: the request $m$, a pre-prepare for $m$
+in view $v$
+with sequence number $n$
+, and $2f$
+prepares from different backups that match the pre-prepare. The replicas verify whether the prepares match the pre-prepare by checking that they have the same view, sequence number, and digest.
+
+The pre-prepare and prepare phases of the algorithm guarantee that non-faulty replicas agree on a total order for the requests within a view. More precisely, they ensure the following invariant: if *prepared*$(m,v,n,i)$
+is true then *prepared*$(m',v,n,j)$
+is false for any non-faulty replica $j$
+(including $i=j$) and any $m'$
+such that $D(m')\not =D(m)$. This is true because prepared *prepared*$(m,v,n,i)$
+and $|R|=3f+1$ imply that at least $f+1$ non-faulty replicas have sent a pre-prepare or prepare for $m$
+in view $v$
+with sequence number $n$. Thus, for *prepared*$(m',v,n,j)$ to be true at least one of these replicas needs to have sent two conflicting prepares (or pre-prepares if it is the primary for $v$), i.e., two prepares with the same view and sequence number and a different digest. But this is not possible because the replica is not faulty. Finally, our assumption about the strength of message digests ensures that the probability that $m\not=m'$ and $D(m)=D(m')$
+is negligible.
+
+Replica $i$ multicasts a $\{$COMMIT$,v,n,D(m),i\}σ_i$ to the other replicas when *prepared*$(m',v,n,i)$ becomes true. This starts the commit phase. Replicas accept commit messages and insert them in their log provided they are properly signed, the view number in the message is equal to the replica's current view, and the sequence number is between $h$ and $H$.
+
+We define the *committed* and *committed-local* predicates as follows: *committed*$(m,v,n,i)$
+is true if and only if *prepared*$(m,v,n,i)$
+is true for all $i$
+in some set of $f+1$ non-faulty replicas; and *committed-local*$(m,v,n,i)$ is true if and only if *prepared*$(m,v,n,i)$
+is true and $i$
+has accepted $2f+1$ commits (possibly including its own) from different replicas that match the pre-prepare for
+$m$; a commit matches a pre-prepare if they have the same view, sequence number, and digest.
+
+The commit phase ensures the following invariant: if *committed-local*$(m,v,n,i)$
+is true for some non-faulty $i$ then *committed*$(m,v,n,i)$
+is true. This invariant and the view-change protocol described in Section 5.4 ensure that non-faulty replicas agree on the sequence numbers of requests that commit locally even if they commit in different views at each replica. Furthermore, it ensures that any request that commits locally at a non-faulty replica will commit at
+$f+1$ or more non-faulty replicas eventually.
+
+Each replica $i$
+executes the operation requested by $m$ after *committed-local*$(m,v,n,i)$
+is true and
+$i$'s state reflects the sequential execution of all requests with lower sequence numbers. This ensures that all non-faulty replicas execute requests in the same order as required to provide the safety property. After executing the requested operation, replicas send a reply to the client. Replicas discard requests whose timestamp is lower than the timestamp in the last reply they sent to the client to guarantee exactly-once semantics.
+
+We do not rely on ordered message delivery, and therefore it is possible for a replica to commit requests out of order. This does not matter since it keeps the pre-prepare, prepare, and commit messages logged until the corresponding request can be executed.
+
+Figure 1 shows the operation of the algorithm in the normal case of no primary faults. Replica 0 is the primary,
+
+{width=100%}
+
+## Garbage Collection
+
+This section discusses the mechanism used to discard messages from the log. For the safety condition to hold, messages must be kept in a replica's log until it knows that the requests they concern have been executed by at least $f+1$ non-faulty replicas and it can prove this to others in view changes. In addition, if some replica misses messages that were discarded by all non-faulty replicas, it will need to be brought up to date by transferring all or a portion of the service state. Therefore, replicas also need some proof that the state is correct.
+
+Generating
+these proofs after executing every operation would be expensive. Instead, they are generated periodically, when a request with a sequence number divisible by some constant (e.g., 100) is executed. We will refer to the states produced by the execution of these requests as *checkpoints* and we will say that a checkpoint with a proof is a *stable checkpoint*.
+
+A replica maintains several logical copies of the service state: the last stable checkpoint, zero or more checkpoints that are not stable, and a current state. Copy-on-write techniques can be used to reduce the space overhead to store the extra copies of the state, as discussed in Section 7.3.
+
+The proof of correctness for a checkpoint is generated as follows. When a replica
+produces a checkpoint, it multicasts a message
+$\{$CHECKPOINT$,n,d,i\}σ_i$
+to the other replicas, where $n$ is the sequence number of the last request whose execution is reflected in the state and $d$
+is the digest of the state. Each replica collects checkpoint messages in its log until it has $2f+1$ of them for sequence number $n$
+with the same digest signed by different replicas (including possibly its own such message). These $2f+1$ messages are the proof of correctness for the checkpoint.
+
+A checkpoint with a proof becomes stable and the replica discards all pre-prepare, prepare, and commit messages with sequence number less than or equal to
+$n$ from its log; it also discards all earlier checkpoints and checkpoint messages.
+requests.
+
+Computing the proofs is efficient because the digest
+can be computed using incremental cryptography [1] as
+discussed in Section 7.3, and proofs are generated rarely.
+The checkpoint protocol is used to advance the low
+and high water marks (which limit what messages will
+be accepted). The low-water mark $h$ is equal to the
+sequence number of the last stable checkpoint. The high
+water mark , $H=h+k$, where $k$ is big enough so that
+replicas do not stall waiting for a checkpoint to become
+stable. For example, if checkpoints are taken every 100
+requests, $k$ might be 200.
+
+## View Changes
+
+The view-change protocol provides liveness by allowing the system to make progress when the primary fails. View changes are triggered by timeouts that prevent backups from waiting indefinitely for requests to execute. A backup is *waiting* for a request if it received a valid request and has not executed it. A backup starts a timer when it receives a request and the timer is not already running. It stops the timer when it is no longer waiting to execute the request, but restarts it if at that point it is waiting to execute some other request.
+
+If the timer of backup $i$ expires in view $v$, the backup starts a view change to move the system to view $v+1$. It stops accepting messages (other than checkpoint, view-change, and new-view messages) and multicasts a $\{$VIEW-CHANGE$,v+1,n,C,P,i\}σ_i$ message to all replicas. Here $n$ is the sequence number of the last stable checkpoint $s$ known to , $C$ is a set of $2f+1$ valid checkpoint messages proving the correctness of , and $P$
+is a set containing a set $P_m$ for each request that $m$ prepared at $i$ with a sequence number higher than $n$. Each set $P_m$ contains a valid pre-prepare message (without the corresponding client message) and $2f$ matching, valid prepare messages signed by different backups with the same view, sequence number, and the digest of $m$.
+
+When the primary $p$ of view $v+1$ receives $2f$ valid
+view-change messages for view $v+1$ from other replicas,
+it multicasts a $\{$NEW-VIEW$,v+1,n,V,O\}σ_i$ message to all
+other replicas, where $V$ is a set containing the valid view-change messages received by the primary plus the view-change message for $v+1$ the primary sent (or would have sent), and $O$ is a set of pre-prepare messages (without the piggybacked request). $O$is computed as follows:
+
+1. The primary determines the sequence number *min-s* of the latest stable checkpoint in $V$ and the highest sequence number *max-s* in a prepare message in .
+
+1. The primary creates a new pre-prepare message for view $v+1$ for each sequence number $n$ between *min-s* and *max-s*. There are two cases: (1) there is at least one set in the $P$ component of some view-change message in $V$with sequence number , or (2) there is no such set. In the first case, the primary creates a new message $\{$ PRE-PREPARE,v+1,n,d\}σ_p$, where $d$
+is the request digest in the pre-prepare message for sequence number $n$ with the highest view number in $V$. In the second case, it creates a new pre-prepare message $\{$ PRE-PREPARE$,v+1,n,d^{null}\}σ_p$, where $d^{null}$ is the digest of a special *null* request; a null request goes through the protocol like other requests, but its execution is a no-op. (Paxos [18] used a similar technique to fill in gaps.)
+
+Next the primary appends the messages in $O$ to its log. If *min-s* is greater than the sequence number of its latest stable checkpoint, the primary also inserts the proof of stability for the checkpoint with sequence number *min-s* in its log, and discards information from the log as discussed in Section 5.3. Then it enters view $v+1$: at this point it is able to accept messages for view $v+1$.
+
+A backup accepts a new-view message for view $v+1$ if it is signed properly, if the view-change messages it contains are valid for view $v+1$, and if the set
+is correct; it verifies the correctness of $O$
+by performing a computation similar to the one used by the primary to create $O$.
+Then it adds the new information to its log as described for the primary, multicasts a prepare for each message in $O$
+to all the other replicas, adds these prepares to its log, and enters view $v+1$.
+
+Thereafter, the protocol proceeds as described in Section 5.2. Replicas
+redo the protocol for messages between *min-s* and *max-s* but they avoid
+re-executing client requests (by using their stored information about the
+last reply sent to each client).
+
+ A replica may be missing some request message $m$ or a stable checkpoint (since these are not sent in new-view messages.) It can obtain missing information from another replica. For example, replica $i$
+can obtain a missing checkpoint state $S$
+from one of the replicas whose checkpoint messages certified its correctness
+in $V$. Since
+$f+$1 of those replicas are correct, replica $i$
+will always obtain $S$
+or a later certified stable checkpoint. We can avoid sending the entire checkpoint by partitioning the state and stamping each partition with the sequence number of the last request that modified it. To bring a replica up to date, it is only necessary to send it the partitions where it is out of date, rather than the whole checkpoint.
+
+## Correctness
+This section sketches the proof that the algorithm provides safety and liveness; details can be found in [4].
+
+### Safety
+
+As discussed earlier, the algorithm provides safety if all non-faulty replicas agree on the sequence numbers of requests that commit locally.
+
+In Section 5.2, we showed that if *prepared*$(m,v,n,i)$ is true,
+*prepared*$(m',v,n,j)$
+is false for any non-faulty replica $j$
+(including $i=j$) and any $m'$
+such that $D(m')\not=D(m)$. This implies that two non-faulty replicas agree on the sequence number of requests that commit locally in the same view at the two replicas.
+
+The view-change protocol ensures that non-faulty replicas also agree on the sequence number of requests that commit locally in different views at different replicas. A request $m$
+commits locally at a non-faulty replica with sequence number $n$
+in view $v$
+only if *committed*$(m,v,n)$ is true. This means that there is a set $R_1$
+containing at least 1 non-faulty replicas such that *prepared*$(m,v,n,i)$ is true for every replica
+in the set.
+
+Non-faulty replicas will not accept a pre-prepare for view $v'\gt v$
+without having received a new-view message for
+(since only at that point do they enter the view). But any correct new-view message for view $v'\gt v$
+contains correct view-change messages from every replica $i$
+in a
+set
+$R_2$ of $2f+1$ replicas. Since there are $3f+1$ replicas, $R_1$ and
+$R_2$ must intersect in at least one replica $k$
+that is not faulty.
+$k$'s view-change message will ensure that the fact that
+prepared in a previous view is propagated to subsequent views, unless the new-view message contains a view-change message with a stable checkpoint with a sequence number higher than $n$.
+In the first case, the algorithm redoes the three phases of the atomic multicast protocol for $m$
+with the same sequence number $n$
+and the new view number. This is important because it prevents any different request that was assigned the sequence number $n$
+in a previous view from ever committing. In the second case no replica in the new view will accept any message with sequence number lower than $n$.
+In either case, the replicas will agree on the request that commits locally with sequence number $n$.
+
+### Liveness
+
+To provide liveness, replicas must move to a new view if they are unable to execute a request. But it is important to maximize the period of time when at least $2f+1$ non-faulty replicas are in the same view, and to ensure that this period of time increases exponentially until some requested operation executes. We achieve these goals by three means.
+
+First, to avoid starting a view change too soon, a replica that multicasts
+a view-change message for view $v+1 waits for $2f+1$ view-change messages for view $v+1$ and then starts its timer to expire after some time $T$.
+If the timer expires before it receives a valid new-view message for
+$v+1$ or before it executes a request in the new view that it had not executed previously, it starts the view change for view $v+2$
+but this time it will wait $2T$ before starting a view change for view
+$v+3$.
+
+Second, if a replica receives a set of $f+1$ valid view-change messages from other replicas for views greater than its current view, it sends a view-change message for the smallest view in the set, even if its timer has not expired; this prevents it from starting the next view change too late.
+
+Third, faulty replicas are unable to impede progress by forcing frequent view changes. A faulty replica cannot cause a view change by sending a view-change message, because a view change will happen only if at least
+$f+1$ replicas send view-change messages, but it can cause a view change when it is the primary (by not sending messages or sending bad messages). However, because the primary of view $v$
+is the replica $p$
+such that $p=v\mod|R|$, the primary cannot be faulty for more than
+consecutive $f$ views.
+
+These three techniques guarantee liveness unless message delays grow faster than the timeout period indefinitely, which is unlikely in a real system.
+
+## Non-Determinism
+
+State machine replicas must be deterministic but many services involve some form of non-determinism. For example, the time-last-modified in NFS is set by reading the server's local clock; if this were done independently at each replica, the states of non-faulty replicas would diverge. Therefore, some mechanism to ensure that all replicas select the same value is needed. In general, the client cannot select the value because it does not have enough information; for example, it does not know how its request will be ordered relative to concurrent requests by other clients. Instead, the primary needs to select the value either independently or based on values provided by the backups.
+
+If the primary selects the non-deterministic value independently, it concatenates the value with the associated request and executes the three phase protocol to ensure that non-faulty replicas agree on a sequence number for the request and value. This prevents a faulty primary from causing replica state to diverge by sending different values to different replicas. However, a faulty primary might send the same, incorrect, value to all replicas. Therefore, replicas must be able to decide deterministically whether the value is correct (and what to do if it is not) based only on the service state.
+
+This protocol is adequate for most services (including NFS) but
+occasionally replicas must participate in selecting the value to satisfy a
+service's specification. This can be accomplished by adding an extra phase
+to the protocol: the primary obtains authenticated values proposed by the
+backups, concatenates $2f+1$ of them with the associated request, and
+starts the three phase protocol for the concatenated message. Replicas
+choose the value by a deterministic computation on the $2f+1$ value and
+their state, e.g., taking the median. The extra phase can be optimized away
+in the common case. For example, if replicas need a value that is "close enough" to that of their local clock, the extra phase can be avoided when their clocks are synchronized within some delta.
+
+# Optimizations
+
+This section describes some optimizations that improve the performance of the algorithm during normal-case operation. All the optimizations preserve the liveness and safety properties.
+
+## Reducing Communication
+
+We use three optimizations to reduce the cost of communication. The first avoids sending most large replies. A client request designates a replica to send the result; all other replicas send replies containing just the digest of the result. The digests allow the client to check the correctness of the result while reducing network bandwidth consumption and CPU overhead significantly for large replies. If the client does not receive a correct result from the designated replica, it retransmits the request as usual, requesting all replicas to send full replies.
+
+The second optimization reduces the number of message delays for an operation invocation from 5 to 4. Replicas execute a request *tentatively* as soon as the prepared predicate holds for the request, their state reflects the execution of all requests with lower sequence number, and these requests are all known to have committed. After executing the request, the replicas send tentative replies to the client. The client waits for $2f+1$ matching tentative replies. If it receives this
+many, the request is guaranteed to commit eventually. Otherwise, the client retransmits the request and waits for $f+1$ non-tentative replies.
+
+A request that has executed tentatively may abort if there is a view change and it is replaced by a null request. In this case the replica reverts its state to the last stable checkpoint in the new-view message or to its last checkpointed state (depending on which one has the higher sequence number).
+
+The third optimization improves the performance of read-only operations that do not modify the service state. A client multicasts a read-only request to all replicas. Replicas execute the request immediately in their tentative state after checking that the request is properly authenticated, that the client has access, and that the request is in fact read-only. They send the reply only after all requests refected in the tentative state have committed; this is necessary to prevent the client from observing uncommitted state. The client waits for $2f+1$ replies from different replicas with the same result.
+The client may be unable to collect $2f+1$ such replies if there are concurrent writes to data that affect the result; in this case, it retransmits the request as a regular read-write request after its retransmission timer expires.
+
+## Cryptography
+
+In Section 5, we described an algorithm that uses digital signatures to authenticate all messages. However, we actually use digital signatures only for view-change and new-view messages, which are sent rarely, and authenticate all other messages using message authentication codes (MACs). This eliminates the main performance bottleneck in previous systems [29, 22].
+
+However, MACs have a fundamental limitation relative to digital signatures -- the inability to prove that a message is authentic to a third party. The algorithm in Section 5 and previous Byzantine-fault-tolerant algorithms [31, 16] for state machine replication rely on the extra power of digital signatures. We modified our algorithm to circumvent the problem by taking advantage of specific invariants, e.g, the invariant
+that no two different requests prepare with the same view and sequence number at two non-faulty replicas.
+The modified algorithm is described in [5]. Here we sketch the main implications of using MACs.
+
+MACs can be computed three orders of magnitude faster than digital signatures. For example, a 200MHz Pentium Pro takes 43ms to generate a 1024-bit modulus RSA signature of an MD5 digest and 0.6ms to verify the signature [37], whereas it takes only 10.3µs
+s to compute the MAC of a 64-byte message on the same hardware in our implementation. There are other public-key cryptosystems that generate signatures faster, e.g., elliptic curve public-key cryptosystems, but signature verification is slower [37] and in our algorithm each signature is verified many times.
+
+Each node (including active clients) shares a 16-byte secret session key with each replica. We compute message authentication codes by applying MD5 to the concatenation of the message with the secret key. Rather than using the 16 bytes of the final MD5 digest, we use only the 10 least significant bytes. This truncation has the obvious advantage of reducing the size of MACs and it also improves their resilience to certain attacks [27]. This is a variant of the secret suffix method [36], which is secure as long as MD5 is collision resistant [27, 8].
+
+The digital signature in a reply message is replaced by a single MAC, which is sufficient because these messages have a single intended recipient. The signatures in all other messages (including client requests but excluding view changes) are replaced by vectors of MACs that we call authenticators. An authenticator has an entry for every replica other than the sender; each entry is the MAC computed with the key shared by the sender and the replica corresponding to the entry.
+
+The time to verify an authenticator is constant but the time to generate one grows linearly with the number of replicas. This is not a problem because we do not expect to have a large number of replicas and there is a huge performance gap between MAC and digital signature computation. Furthermore, we compute authenticators efficiently; MD5 is applied to the message once and the resulting context is used to compute each vector entry by applying MD5 to the corresponding session key. For example, in a system with 37 replicas (i.e., a system that can tolerate 12 simultaneous faults) an authenticator can still be computed much more than two orders of magnitude faster than a 1024-bit modulus RSA signature.
+
+The size of authenticators grows linearly with the number of replicas but it grows slowly: it is equal to $30*\lfloor\frac{n-1)}{3}\rfloor$ bytes. An authenticator is
+smaller than an RSA signature with a 1024-bit modulus for
+$n\le13$ (i.e., systems that can tolerate up to 4 simultaneous faults), which we expect to be true in most configurations.
+
+# Implementation
+
+This section describes our implementation. First we discuss the replication library, which can be used as a basis for any replicated service. In Section 7.2 we describe how we implemented a replicated NFS on top of the replication library. Then we describe how we maintain checkpoints and compute checkpoint digests efficiently.
+
+## The Replication Library
+
+The client interface to the replication library consists of a single procedure, *invoke*, with one argument, an input buffer containing a request to invoke a state machine operation. The *invoke* procedure uses our protocol to execute the requested operation at the replicas and select the correct reply from among the replies of the individual replicas. It returns a pointer to a buffer containing the operation result.
+
+On the server side, the replication code makes a number of upcalls to procedures that the server part of the application must implement. There are procedures to execute requests (*execute*), to maintain checkpoints of the service state (*make checkpoint, delete checkpoint)8, to obtain the digest of a specifIed checkpoint (*get digest*), and to obtain missing information (*get checkpoint, set checkpoint*).
+The *execute* procedure receives as input a buffer containing the requested operation, executes the operation, and places the result in an output buffer. The other procedures are discussed further in Sections 7.3 and 7.4.
+
+Point-to-point communication between nodes is implemented using UDP, and multicast to the group of replicas is implemented using UDP over IP multicast [7]. There is a single IP multicast group for each service, which contains all the replicas. These communication protocols are unreliable; they may duplicate or lose messages or deliver them out of order.
+
+The algorithm tolerates out-of-order delivery and rejects duplicates. View changes can be used to recover from lost messages, but this is expensive and therefore it is important to perform retransmissions. During normal operation recovery from lost messages is driven by the receiver: backups send negative acknowledgments to the primary when they are out of date and the primary retransmits pre-prepare messages after a long timeout. A reply to a negative acknowledgment may include both a portion of a stable checkpoint and missing messages. During view changes, replicas retransmit view-change messages until they receive a matching new-view message or they move on to a later view.
+
+The replication library does not implement view changes or retransmissions at present. This does not compromise the accuracy of the results given in Section 7 because the rest of the algorithm is completely implemented (including the manipulation of the timers that trigger view changes) and because we have formalized the complete algorithm and proved its correctness [4].
+
+## BFS: A Byzantine-Fault-tolerant File System
+
+We implemented BFS, a Byzantine-fault-tolerant NFS service, using the replication library. Figure 2 shows the architecture of BFS. We opted not to modify the kernel NFS client and server because we did not have the sources for the Digital Unix kernel.
+
+A file system exported by the fault-tolerant NFS service is mounted on the client machine like any regular NFS file system. Application processes run unmodified and interact with the mounted file system through the NFS client in the kernel. We rely on user level relay processes to mediate communication between the standard NFS client and the replicas. A relay receives NFS protocol requests, calls the invoke procedure of our replication library, and sends the result back to the NFS client.
+
+{width=100%}
+
+Each replica runs a user-level process with the replication library and our NFS V2 daemon, which we will refer to as *snfsd* (for simple *nfsd*). The replication library receives requests from the relay, interacts with *snfsd* by making upcalls, and packages NFS replies into replication protocol replies that it sends to the relay.
+
+We implemented *snfsd* using a fixed-size memory-mapped file. All the file system data structures, e.g., inodes, blocks and their free lists, are in the mapped file. We rely on the operating system to manage the cache of memory-mapped file pages and to write modified pages to disk asynchronously. The current implementation uses 8KB blocks and inodes contain the NFS status information plus 256 bytes of data, which is used to store directory entries in directories, pointers to blocks in files, and text in symbolic links. Directories and files may also use indirect blocks in a way similar to Unix.
+
+Our implementation ensures that all state machine replicas start in the same initial state and are deterministic, which are necessary conditions for the correctness of a service implemented using our protocol. The primary proposes the values for time-last-modified and time-last-accessed, and replicas select the larger of the proposed value and one greater than the maximum of all values selected for earlier requests. We do not require synchronous writes to implement NFS V2 protocol semantics because BFS achieves stability of modified data and meta-data through replication [20].
+
+## Maintaining Checkpoints
+
+This section describes how *snfsd* maintains checkpoints of the file system state. Recall that each replica maintains several logical copies of the state: the current state, some number of checkpoints that are not yet stable, and the last stable checkpoint.
+
+*snfsd* executes file system operations directly in the memory mapped file to preserve locality,and it uses copy-on-write to reduce the space and time overhead associated with maintaining checkpoints. *snfsd* maintains a copy-on-write bit for every 512-byte block in the memory mapped file. When the replication code invokes the *make_checkpoint* upcall, *snfsd* sets all the copy-on-write bits and creates a (volatile) checkpoint record, containing the current sequence number, which it receives as an argument to the upcall, and a list of blocks. This list contains the copies of the blocks that were modified since the checkpoint was taken, and therefore, it is initially empty. The record also contains the digest of the current state; we discuss how the digest is computed in Section 7.4.
+
+When a block of the memory mapped file is modified while executing a client request, *snfsd* checks the copy-on-write bit for the block and, if it is set, stores the block's current contents and its identifier in the checkpoint record for the last checkpoint. Then, it overwrites the block with its new value and resets its copy-on-write bit. *snfsd* retains a checkpoint record until told to discard it via a delete checkpoint upcall, which is made by the replication code when a later checkpoint becomes stable.
+
+If the replication code requires a checkpoint to send to another replica, it calls the get checkpoint upcall. To obtain the value for a block, *snfsd* first searches for the block in the checkpoint record of the stable checkpoint, and then searches the checkpoint records of any later checkpoints. If the block is not in any checkpoint record, it returns the value from the current state.
+The use of the copy-on-write technique and the fact that we keep at most 2 checkpoints ensure that the space and time overheads of keeping several logical copies of the state are low. For example, in the Andrew benchmark experiments described in Section 7, the average checkpoint record size is only 182 blocks with a maximum of 500.
+
+## Computing Checkpoint Digests
+
+*snfsd* computes a digest of a checkpoint state as part of a make checkpoint upcall. Although checkpoints are only taken occasionally, it is important to compute the state digest incrementally because the state may be large. *snfsd* uses an incremental collision-resistant one-way hash function called AdHash [1]. This function divides the state into fixed-size blocks and uses some other hash function (e.g., MD5) to compute the digest of the string obtained by concatenating the block index with the block value for each block. The digest of the state is the sum of the digests of the blocks modulo some large integer. In our current implementation, we use the 512-byte blocks from the copy-on-write technique and compute their digest using MD5.
+
+To compute the digest for the state incrementally, *snfsd* maintains a table with a hash value for each 512-byte block. This hash value is obtained by applying MD5 to the block index concatenated with the block value at the time of the last checkpoint. When make checkpoint is called, *snfsd* obtains the digest $d$
+for the previous checkpoint state (from the associated checkpoint record). It computes new hash values for each block whose copy-on-write bit is reset by applying MD5 to the block index concatenated with the current block value. Then, it adds the new hash value to $d$, subtracts the old hash value from $d$, and updates the table to contain the new hash value. This process is efficient provided the number of modified blocks is small; as mentioned above, on average 182 blocks are modified per checkpoint for the Andrew benchmark.
+
+# Performance Evaluation
+
+This section evaluates the performance of our system using two benchmarks: a micro-benchmark and the Andrew benchmark [15]. The micro-benchmark provides a service-independent evaluation of the performance of the replication library; it measures the latency to invoke a null operation, i.e., an operation that does nothing.
+
+The Andrew benchmark is used to compare BFS with two other file systems: one is the NFS V2 implementation in Digital Unix, and the other is identical to BFS except without replication. The first comparison demonstrates that our system is practical by showing that its latency is similar to the latency of a commercial system that is used daily by many users. The second comparison allows us to evaluate the overhead of our algorithm accurately within an implementation of a real service.
+
+## Experimental Setup
+
+The experiments measure normal-case behavior (i.e., there are no view changes), because this is the behavior that determines the performance of the system. All experiments ran with one client running two relay processes, and four replicas. Four replicas can tolerate one Byzantine fault; we expect this reliability level to suffice for most applications. The replicas and the client ran on identical DEC 3000/400 Alpha workstations. These workstations have a 133 MHz Alpha 21064 processor, 128 MB of memory, and run Digital Unix version 4.0. The file system was stored by each replica on a DEC RZ26 disk. All the workstations were connected by a 10Mbit/s switched Ethernet and had DEC LANCE Ethernet interfaces. The switch was a DEC EtherWORKS 8T/TX. The experiments were run on an isolated network.
+
+The interval between checkpoints was 128 requests, which causes garbage collection to occur several times in any of the experiments. The maximum sequence number accepted by replicas in pre-prepare messages was 256 plus the sequence number of the last stable checkpoint.
+
+## Micro-Benchmark
+
+The micro-benchmark measures the latency to invoke a null operation. It evaluates the performance of two implementations of a simple service with no state that implements null operations with arguments and results of different sizes. The first implementation is replicated using our library and the second is unreplicated and uses UDP directly. Table 1 reports the response times measured at the client for both read-only and read-write operations. They were obtained by timing 10,000 operation invocations in three separate runs and we report the median value of the three runs. The maximum deviation from the median was always below 0.3% of the reported value. We denote each operation by a/b, where a and b are the sizes of the operation argument and result in KBytes.
+
++---------+-------------------+------------+------------+
+|arg./res | replicated | replicated | without |
+|(KB) | read write | read-only | replication|
++:=======:+==================:+===========:+===========:+
+| 0/0 | 3.35 (309%) | 1.62 (98%)| 0.82 |
++---------+-------------------+------------+------------+
+| 4/0 | 14.19 (207%) | 6.98 (51%) | 4.62 |
++---------+-------------------+------------+------------+
+| 0/4 |8.01 ( 72%) | 5.94 (27%) | 4.66 |
++---------+-------------------+------------+------------+
+
+Table 1: Micro-benchmark results (in milliseconds); the percentage overhead is relative to the unreplicated case.
+
+The overhead introduced by the replication library is due to extra computation and communication. For example, the computation overhead for the read-write 0/0 operation is approximately 1.06ms, which includes 0.55ms spent executing cryptographic operations. The remaining 1.47ms of overhead are due to extra communication; the replication library introduces an extra message round-trip, it sends larger messages, and it increases the number of messages received by each node relative to the service without replication.
+
+The overhead for read-only operations is significantly lower because the optimization discussed in Section 5.1 reduces both computation and communication overheads. For example, the computation overhead for the read-only 0/0 operation is approximately 0.43ms, which includes 0.23ms spent executing cryptographic operations, and the communication overhead is only 0.37ms because the protocol to execute read-only operations uses a single round-trip.
+
+Table 1 shows that the relative overhead is lower for the 4/0 and 0/4 operations. This is because a significant fraction of the overhead introduced by the replication library is independent of the size of operation arguments and results. For example, in the read-write 0/4 operation, the large message (the reply) goes over the network only once (as discussed in Section 5.1) and only the cryptographic overhead to process the reply message is increased. The overhead is higher for the read-write 4/0 operation because the large message (the request) goes over the network twice and increases the cryptographic overhead for processing both request and pre-prepare messages.
+
+It is important to note that this micro-benchmark represents the worst case overhead for our algorithm because the operations perform no work and the unreplicated server provides very weak guarantees. Most services will require stronger guarantees, e.g., authenticated connections, and the overhead introduced by our algorithm relative to a server that implements these guarantees will be lower. For example, the overhead of the replication library relative to a version of the unreplicated service that uses MACs for authentication is only 243% for the read-write 0/0 operation and 4% for the read-only 4/0 operation.
+
+We can estimate a rough lower bound on the performance gain afforded by our algorithm relative to Rampart [30]. Reiter reports that Rampart has a latency of 45ms for a multi-RPC of a null message in a 10 Mbit/s Ethernet network of 4 SparcStation 10s [30]. The multi-RPC is sufficient for the primary to invoke a state machine operation but for an arbitrary client to invoke an operation it would be necessary to add an extra message delay and an extra RSA signature and verification to authenticate the client; this would lead to a latency of at least 65ms (using the RSA timings reported in [29].) Even if we divide this latency by 1.7, the ratio of the SPECint92 ratings of the DEC 3000/400 and the SparcStation 10, our algorithm still reduces the latency to invoke the read-write and read-only 0/0 operations by factors of more than 10 and 20, respectively. Note that this scaling is conservative because the network accounts for a significant fraction of Rampart's latency [29] and Rampart's results were obtained using 300-bit modulus RSA signatures, which are not considered secure today unless the keys used to generate them are refreshed very frequently.
+
+There are no published performance numbers for SecureRing [16] but it would be slower than Rampart because its algorithm has more message delays and signature operations in the critical path.
+
+## Andrew Benchmark
+
+The Andrew benchmark [15] emulates a software development workload. It has fve phases: (1) creates subdirectories recursively; (2) copies a source tree; (3) examines the status of all the files in the tree without examining their data; (4) examines every byte of data in all the files; and (5) compiles and links the files.
+
+We use the Andrew benchmark to compare BFS with two other file system configurations: NFS-std, which is the NFS V2 implementation in Digital Unix, and BFS-nr, which is identical to BFS but with no replication. BFS-nr ran two simple UDP relays on the client, and on the server it ran a thin veneer linked with a version of *snfsd* from which all the checkpoint management code was removed. This configuration does not write modified file system state to disk before replying to the client. Therefore, it does not implement NFS V2 protocol semantics, whereas both BFS and NFS-std do.
+
+Out of the 18 operations in the NFS V2 protocol only getattr is read-only because the time-last-accessed attribute of files and directories is set by operations that would otherwise be read-only, e.g., read and lookup. The result is that our optimization for read-only operations can rarely be used. To show the impact of this optimization, we also ran the Andrew benchmark on a second version of BFS that modifies the lookup operation to be read-only. This modification violates strict Unix file system semantics but is unlikely to have adverse effects in practice.
+
+For all configurations, the actual benchmark code ran at the client workstation using the standard NFS client implementation in the Digital Unix kernel with the same mount options. The most relevant of these options for the benchmark are: UDP transport, 4096-byte read and write buffers, allowing asynchronous client writes, and allowing attribute caching.
+
+We report the mean of 10 runs of the benchmark for each configuration. The sample standard deviation for the total time to run the benchmark was always below 2.6% of the reported value but it was as high as 14% for the individual times of the first four phases. This high variance was also present in the NFS-std configuration. The estimated error for the reported mean was below 4.5% for the individual phases and 0.8% for the total.
+
+Table 2 shows the results for BFS and BFS-nr. The comparison between BFS-strict and BFS-nr shows that the overhead of Byzantine fault tolerance for this service is low -- BFS-strict takes only 26% more time to run Table 2: Andrew benchmark: BFS vs BFS-nr. The times are in seconds.
+
++---------+------------+-----------+---------+
+| phase |BFS strict | BFS r/o | NFS-std |
+| | | lookup | |
++:=======:+===========:+==========:+========:+
+| 1 | 0.55 (57%) |0.47 (34%) | 0.35 |
++---------+------------+-----------+---------+
+| 2 | 9.24 (82%) |7.91 (56%) | 5.08 |
++---------+------------+-----------+---------+
+| 3 |7.24 (18%) |6.45 (6%) | 6.11 |
++---------+------------+-----------+---------+
+| 4 | 8.77 (18%) | 7.87 (6%) | 7.41 |
++---------+------------+-----------+---------+
+| 5 |38.68 (20%) |38.38 (19%)| 32.12 |
++---------+------------+-----------+---------+
+| total | 64.48 (26%)|61.07 (20%)| 51.07 |
++---------+------------+-----------+---------+
+
+the complete benchmark. The overhead is lower than what was observed for the micro-benchmarks because the client spends a significant fraction of the elapsed time computing between operations, i.e., between receiving the reply to an operation and issuing the next request, and operations at the server perform some computation. But the overhead is not uniform across the benchmark phases. The main reason for this is a variation in the amount of time the client spends computing between operations; the first two phases have a higher relative overhead because the client spends approximately 40% of the total time computing between operations, whereas it spends approximately 70% during the last three phases.
+
+The table shows that applying the read-only optimization to lookup improves the performance of BFS significantly and reduces the overhead relative to BFS-nr to 20%. This optimization has a significant impact in the first four phases because the time spent waiting for lookup operations to complete in BFS-strict is at least 20% of the elapsed time for these phases, whereas it is less than 5% of the elapsed time for the last phase.
+
++---------+------------+-----------+---------+
+| phase |BFS strict | BFS r/o | NFS-std |
+| | | lookup | |
++:=======:+===========:+==========:+========:+
+| 1 |0.55 (-69%) |0.47 (-73%)| 1.75 |
++---------+------------+-----------+---------+
+| 2 |9.24 ( -2%) |7.91 (-16%)| 9.46 |
++---------+------------+-----------+---------+
+| 3 |7.24 (35%) | 6.45 (20%)| 5.36 |
++---------+------------+-----------+---------+
+| 4 |8.77 (32%) |7.87 (19%) | 6.60 |
++---------+------------+-----------+---------+
+| 5 |38.68 (-2%) |38.38 (-2%)| 39.35 |
++---------+------------+-----------+---------+
+| total |64.48 (3%) |61.07 (-2%)| 62.52 |
++---------+------------+-----------+---------+
+
+Table 3: Andrew benchmark: BFS vs NFS-std. The times are in seconds.
+
+Table 3 shows the results for BFS vs NFS-std. These results show that BFS can be used in practice -- BFS-strict takes only 3% more time to run the complete benchmark. Thus, one could replace the NFS V2 implementation in Digital Unix, which is used daily by many users, by BFS without affecting the latency perceived by those users. Furthermore, BFS with the read-only optimization for the *lookup* operation is actually 2% faster than NFS-std.
+
+The overhead of BFS relative to NFS-std is not the same for all phases. Both versions of BFS are faster than NFS-std for phases 1, 2, and 5 but slower for the other phases. This is because during phases 1, 2, and 5 a large fraction (between 21% and 40%) of the operations issued by the client are *synchronous*, i.e., operations that require the NFS implementation to ensure stability of modified file system state before replying to the client. NFS-std achieves stability by writing modified state to disk whereas BFS achieves stability with lower latency using replication (as in Harp [20]). NFS-std is faster than BFS (and BFS-nr) in phases 3 and 4 because the client issues no synchronous operations during these phases.
+
+# Related Work
+
+Most previous work on replication techniques ignored Byzantine faults or assumed a synchronous system model (e.g., [17, 26, 18, 34, 6, 10]). View stamped replication [26] and Paxos [18] use views with a primary and backups to tolerate benign faults in an asynchronous system. Tolerating Byzantine faults requires a much more complex protocol with cryptographic authentication, an extra pre-prepare phase, and a different technique to trigger view changes and select primaries. Furthermore, our system uses view changes only to select a new primary but never to select a different set of replicas to form the new view as in [26, 18].
+
+Some agreement and consensus algorithms tolerate Byzantine faults in asynchronous systems (e.g,[2, 3, 24]). However, they do not provide a complete solution for state machine replication, and furthermore, most of them were designed to demonstrate theoretical feasibility and are too slow to be used in practice. Our algorithm during normal-case operation is similar to the Byzantine agreement algorithm in [2] but that algorithm is unable to survive primary failures.
+
+The two systems that are most closely related to our work are Rampart [29, 30, 31, 22] and SecureRing [16]. They implement state machine replication but are more than an order of magnitude slower than our system and, most importantly, they rely on synchrony assumptions.
+
+Both Rampart and SecureRing must exclude faulty replicas from the group to make progress (e.g., to remove a faulty primary and elect a new one), and to perform garbage collection. They rely on failure detectors to determine which replicas are faulty. However, failure detectors cannot be accurate in an asynchronous system [21], i.e., they may misclassify a replica as faulty. Since correctness requires that fewer than $\frac13$ of group members be faulty, a misclassification can compromise correctness by removing a non-faulty replica from the group. This opens an avenue of attack: an attacker gains control over a single replica but does not change its behavior in any detectable way; then it slows correct replicas or the communication between them until enough are excluded from the group.
+
+To reduce the probability of misclassification, failure detectors can be calibrated to delay classifying a replica as faulty. However, for the probability to be negligible the delay must be very large, which is undesirable. For example, if the primary has actually failed, the group will be unable to process client requests until the delay has expired. Our algorithm is not vulnerable to this problem because it never needs to exclude replicas from the group.
+
+Phalanx [23, 25] applies quorum replication techniques [12] to achieve Byzantine fault-tolerance in asynchronous systems. This work does not provide generic state machine replication; instead, it offers a data repository with operations to read and write individual variables and to acquire locks. The semantics it provides for read and write operations are weaker than those offered by our algorithm; we can implement arbitrary operations that access any number of variables,whereas in Phalanx it would be necessary to acquire and release locks to execute such operations. There are no published performance numbers for Phalanx but we believe our algorithm is faster because it has fewer message delays in the critical path and because of our use of MACs rather than public key cryptography. The approach in Phalanx offers the potential for improved scalability; each operation is processed by only a subset of replicas. But this approach to scalability is expensive: it requires $n\gt4f+1$ to tolerate faults; each replica needs a copy of the state; and the load on each replica decreases slowly with $n$
+(it is $\bigcirc(1/\sqrt{n})$.
+
+# Conclusions
+
+This paper has described a new state-machine replication algorithm that is able to tolerate Byzantine faults and can be used in practice: it is the first to work correctly in an asynchronous system like the Internet and it improves the performance of previous algorithms by more than an order of magnitude.
+
+The paper also described BFS, a Byzantine-fault tolerant implementation of NFS. BFS demonstrates that it is possible to use our algorithm to implement real services with performance close to that of an unreplicated service -- the performance of BFS is only 3% worse than that of the standard NFS implementation in Digital Unix. This good performance is due to a number of important optimizations, including replacing public-key signatures by vectors of message authentication codes, reducing the size and number of messages, and the incremental checkpoint-management techniques.
+
+One reason why Byzantine-fault-tolerant algorithms will be important in the future is that they can allow systems to continue to work correctly even when there are software errors. Not all errors are survivable; our approach cannot mask a software error that occurs at all replicas. However, it can mask errors that occur independently at different replicas, including nondeterministic software errors, which are the most problematic and persistent errors since they are the hardest to detect. In fact, we encountered such a software bug while running our system, and our algorithm was able to continue running correctly in spite of it.
+
+There is still much work to do on improving our system. One problem of special interest is reducing the amount of resources required to implement our algorithm. The number of replicas can be reduced by using
+replicas as witnesses that are involved in the protocol only when some full replica fails. We also believe that it is possible to reduce the number of copies of the state to
+1 but the details remain to be worked out.
+
+# Acknowledgments
+
+We would like to thank Atul Adya, Chandrasekhar Boyapati, Nancy Lynch, Sape Mullender, Andrew Myers, Liuba Shrira, and the anonymous referees for their helpful comments on drafts of this paper.
+
+# References
+
+[1] M. Bellare and D. Micciancio. A New Paradigm for Collision-free Hashing: Incrementality at Reduced Cost. In Advances in Cryptology -- Eurocrypt 97, 1997.
+
+[2] G. Bracha and S. Toueg. Asynchronous Consensus and Broadcast Protocols. Journal of the ACM, 32(4), 1995.
+
+[3] R. Canneti and T. Rabin. Optimal Asynchronous Byzantine Agreement. Technical Report #92-15, Computer Science Department, Hebrew University, 1992.
+
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+
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-1 0 0 1 206.16 217.44 Tm
-(a) Tj
-1 0 0 1 214.44 217.44 Tm
-(special) Tj
-/R524 10 Tf
-1 0 0 1 246 217.44 Tm
-(null) Tj
-/R445 10 Tf
-1 0 0 1 265.44 217.44 Tm
-(request;) Tj
-1 0 0 1 87 205.56 Tm
-(a) Tj
-1 0 0 1 95.28 205.56 Tm
-(null) Tj
-1 0 0 1 114.72 205.56 Tm
-(request) Tj
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-(goes) Tj
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-(through) Tj
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-(the) Tj
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-(protocol) Tj
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-(lik) Tj
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-(e) Tj
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-(other) Tj
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-(requests,) Tj
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-(b) Tj
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-(ut) Tj
-1 0 0 1 142.44 193.56 Tm
-(its) Tj
-1 0 0 1 155.64 193.56 Tm
-(e) Tj
-1 0 0 1 159.96 193.56 Tm
-(x) Tj
-1 0 0 1 164.88 193.56 Tm
-(ecution) Tj
-1 0 0 1 197.88 193.56 Tm
-(is) Tj
-1 0 0 1 208.32 193.56 Tm
-(a) Tj
-1 0 0 1 216.48 193.56 Tm
-(no-op.) Tj
-1 0 0 1 249.719 193.56 Tm
-(\(P) Tj
-1 0 0 1 258.479 193.56 Tm
-(axos) Tj
-1 0 0 1 280.439 193.56 Tm
-([18) Tj
-1 0 0 1 293.639 193.56 Tm
-(]) Tj
-1 0 0 1 87 181.68 Tm
-(used) Tj
-1 0 0 1 107.64 181.68 Tm
-(a) Tj
-1 0 0 1 114.6 181.68 Tm
-(similar) Tj
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-(technique) Tj
-1 0 0 1 186 181.68 Tm
-(to) Tj
-1 0 0 1 196.2 181.68 Tm
-(\256ll) Tj
-1 0 0 1 209.76 181.68 Tm
-(in) Tj
-1 0 0 1 220.08 181.68 Tm
-(gaps.\)) Tj
-1 0 0 1 81.96 166.56 Tm
-(Ne) Tj
-1 0 0 1 93.48 166.56 Tm
-(xt) Tj
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-(the) Tj
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-(primary) Tj
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-(appends) Tj
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-(the) Tj
-1 0 0 1 210 166.56 Tm
-(messages) Tj
-1 0 0 1 251.64 166.56 Tm
-(in) Tj
-ET
-q
-7.2 0 0 -7.4 264 173.7 cm
-/R516 Do
-Q
-BT
-1 0 0 1 275.759 166.56 Tm
-(to) Tj
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-(its) Tj
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-(log.) Tj
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-(If) Tj
-/R524 10 Tf
-1 0 0 1 102.12 154.56 Tm
-(min-s) Tj
-/R445 10 Tf
-1 0 0 1 127.32 154.56 Tm
-(is) Tj
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-(greater) Tj
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-(than) Tj
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-(the) Tj
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-(sequence) Tj
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-(number) Tj
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-(of) Tj
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-(its) Tj
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-(latest) Tj
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-(stable) Tj
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-(checkpoint,) Tj
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-(the) Tj
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-(primary) Tj
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-(also) Tj
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-(inserts) Tj
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-(the) Tj
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-(proof) Tj
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-(of) Tj
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-(stability) Tj
-1 0 0 1 121.68 130.68 Tm
-(for) Tj
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-(the) Tj
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-(checkpoint) Tj
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-(with) Tj
-1 0 0 1 225.36 130.68 Tm
-(sequence) Tj
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-(number) Tj
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-(min-s) Tj
-/R445 10 Tf
-1 0 0 1 97.6799 118.8 Tm
-(in) Tj
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-(its) Tj
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-(log,) Tj
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-(and) Tj
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-(discards) Tj
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-(information) Tj
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-(from) Tj
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-(the) Tj
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-(log) Tj
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-(as) Tj
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-(discussed) Tj
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-(in) Tj
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-(Section) Tj
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-(4.3.) Tj
-1 0 0 1 183.72 106.8 Tm
-(Then) Tj
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-(it) Tj
-/R524 10 Tf
-1 0 0 1 214.199 106.8 Tm
-(enter) Tj
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-(s) Tj
-/R445 10 Tf
-1 0 0 1 240.719 106.8 Tm
-(vie) Tj
-1 0 0 1 252.719 106.8 Tm
-(w) Tj
-ET
-q
-4.4 0 0 -4.6 262.4 111.3 cm
-/R452 Do
-Q
-q
-6.6 0 0 -6.5 269.5 112.6 cm
-/R456 Do
-Q
-BT
-1 0 0 1 278.519 106.8 Tm
-(1:) Tj
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-(at) Tj
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-(this) Tj
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-(point) Tj
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-(it) Tj
-1 0 0 1 119.88 94.92 Tm
-(is) Tj
-1 0 0 1 129 94.92 Tm
-(able) Tj
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-(to) Tj
-1 0 0 1 158.4 94.92 Tm
-(accept) Tj
-1 0 0 1 186.24 94.92 Tm
-(messages) Tj
-1 0 0 1 226.44 94.92 Tm
-(for) Tj
-1 0 0 1 240.479 94.92 Tm
-(vie) Tj
-1 0 0 1 252.479 94.92 Tm
-(w) Tj
-ET
-q
-4.4 0 0 -4.6 262.3 99.4 cm
-/R452 Do
-Q
-q
-6.6 0 0 -6.5 270 100.7 cm
-/R456 Do
-Q
-BT
-1 0 0 1 279.479 94.92 Tm
-(1.) Tj
-1 0 0 1 81.96 82.92 Tm
-(A) Tj
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-(backup) Tj
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-(accepts) Tj
-1 0 0 1 154.68 82.92 Tm
-(a) Tj
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-(ne) Tj
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-(w-vie) Tj
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-(w) Tj
-1 0 0 1 202.8 82.92 Tm
-(message) Tj
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-(for) Tj
-1 0 0 1 253.199 82.92 Tm
-(vie) Tj
-1 0 0 1 265.199 82.92 Tm
-(w) Tj
-ET
-q
-4.4 0 0 -4.6 274.9 87.4 cm
-/R452 Do
-Q
-q
-6.6 0 0 -6.5 282.6 88.7 cm
-/R456 Do
-Q
-BT
-1 0 0 1 291.959 82.92 Tm
-(1) Tj
-1 0 0 1 72 71.04 Tm
-(if) Tj
-1 0 0 1 81.7199 71.04 Tm
-(it) Tj
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-(is) Tj
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-(signed) Tj
-1 0 0 1 130.8 71.04 Tm
-(properly) Tj
-1 0 0 1 164.28 71.04 Tm
-(,) Tj
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-(if) Tj
-1 0 0 1 180.12 71.04 Tm
-(the) Tj
-1 0 0 1 195.959 71.04 Tm
-(vie) Tj
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-(w-change) Tj
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-(messages) Tj
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-(it) Tj
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-(contains) Tj
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-(are) Tj
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-(v) Tj
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-(alid) Tj
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-(for) Tj
-1 0 0 1 407.64 709.08 Tm
-(vie) Tj
-1 0 0 1 419.64 709.08 Tm
-(w) Tj
-ET
-q
-4.4 0 0 -4.6 430.9 713.6 cm
-/R452 Do
-Q
-q
-6.6 0 0 -6.5 439.5 714.9 cm
-/R456 Do
-Q
-BT
-1 0 0 1 449.76 709.08 Tm
-(1,) Tj
-1 0 0 1 461.519 709.08 Tm
-(and) Tj
-1 0 0 1 479.879 709.08 Tm
-(if) Tj
-1 0 0 1 489.959 709.08 Tm
-(the) Tj
-1 0 0 1 506.159 709.08 Tm
-(set) Tj
-ET
-q
-7.2 0 0 -7.4 521.7 716.2 cm
-/R516 Do
-Q
-BT
-1 0 0 1 533.399 709.08 Tm
-(is) Tj
-1 0 0 1 315 697.08 Tm
-(correct;) Tj
-1 0 0 1 348.72 697.08 Tm
-(it) Tj
-1 0 0 1 357.24 697.08 Tm
-(v) Tj
-1 0 0 1 362.16 697.08 Tm
-(eri\256es) Tj
-1 0 0 1 389.4 697.08 Tm
-(the) Tj
-1 0 0 1 404.52 697.08 Tm
-(correctness) Tj
-1 0 0 1 452.279 697.08 Tm
-(of) Tj
-ET
-q
-7.2 0 0 -7.4 464.1 704.2 cm
-/R516 Do
-Q
-BT
-1 0 0 1 474.839 697.08 Tm
-(by) Tj
-1 0 0 1 487.799 697.08 Tm
-(performing) Tj
-1 0 0 1 535.559 697.08 Tm
-(a) Tj
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-(computation) Tj
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-(similar) Tj
-1 0 0 1 399.96 685.2 Tm
-(to) Tj
-1 0 0 1 411.36 685.2 Tm
-(the) Tj
-1 0 0 1 427.32 685.2 Tm
-(one) Tj
-1 0 0 1 445.44 685.2 Tm
-(used) Tj
-1 0 0 1 467.4 685.2 Tm
-(by) Tj
-1 0 0 1 481.079 685.2 Tm
-(the) Tj
-1 0 0 1 497.039 685.2 Tm
-(primary) Tj
-1 0 0 1 532.199 685.2 Tm
-(to) Tj
-1 0 0 1 315 673.2 Tm
-(create) Tj
-ET
-q
-7.2 0 0 -7.4 342 680.3 cm
-/R516 Do
-Q
-BT
-1 0 0 1 349.68 673.2 Tm
-(.) Tj
-1 0 0 1 356.76 673.2 Tm
-(Then) Tj
-1 0 0 1 380.04 673.2 Tm
-(it) Tj
-1 0 0 1 388.44 673.2 Tm
-(adds) Tj
-1 0 0 1 409.44 673.2 Tm
-(the) Tj
-1 0 0 1 424.44 673.2 Tm
-(ne) Tj
-1 0 0 1 433.68 673.2 Tm
-(w) Tj
-1 0 0 1 443.52 673.2 Tm
-(information) Tj
-1 0 0 1 493.439 673.2 Tm
-(to) Tj
-1 0 0 1 503.999 673.2 Tm
-(its) Tj
-1 0 0 1 516.119 673.2 Tm
-(log) Tj
-1 0 0 1 531.719 673.2 Tm
-(as) Tj
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-(described) Tj
-1 0 0 1 356.28 661.32 Tm
-(for) Tj
-1 0 0 1 371.04 661.32 Tm
-(the) Tj
-1 0 0 1 386.28 661.32 Tm
-(primary) Tj
-1 0 0 1 417.48 661.32 Tm
-(,) Tj
-1 0 0 1 423 661.32 Tm
-(multicasts) Tj
-1 0 0 1 466.439 661.32 Tm
-(a) Tj
-1 0 0 1 473.999 661.32 Tm
-(prepare) Tj
-1 0 0 1 506.999 661.32 Tm
-(for) Tj
-1 0 0 1 521.759 661.32 Tm
-(each) Tj
-1 0 0 1 315 649.32 Tm
-(message) Tj
-1 0 0 1 350.64 649.32 Tm
-(in) Tj
-ET
-q
-7.2 0 0 -7.4 360.7 656.4 cm
-/R516 Do
-Q
-BT
-1 0 0 1 370.32 649.32 Tm
-(to) Tj
-1 0 0 1 380.04 649.32 Tm
-(all) Tj
-1 0 0 1 391.8 649.32 Tm
-(the) Tj
-1 0 0 1 405.96 649.32 Tm
-(other) Tj
-1 0 0 1 428.28 649.32 Tm
-(replicas,) Tj
-1 0 0 1 463.799 649.32 Tm
-(adds) Tj
-1 0 0 1 483.839 649.32 Tm
-(these) Tj
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-(prepares) Tj
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-(to) Tj
-1 0 0 1 325.2 637.44 Tm
-(its) Tj
-1 0 0 1 337.2 637.44 Tm
-(log,) Tj
-1 0 0 1 354.84 637.44 Tm
-(and) Tj
-1 0 0 1 371.76 637.44 Tm
-(enters) Tj
-1 0 0 1 398.04 637.44 Tm
-(vie) Tj
-1 0 0 1 410.04 637.44 Tm
-(w) Tj
-ET
-q
-4.4 0 0 -4.6 419.8 641.9 cm
-/R452 Do
-Q
-q
-6.6 0 0 -6.5 427.6 643.2 cm
-/R456 Do
-Q
-BT
-1 0 0 1 437.04 637.44 Tm
-(1.) Tj
-1 0 0 1 324.96 625.08 Tm
-(Thereafter) Tj
-1 0 0 1 366.36 625.08 Tm
-(,) Tj
-1 0 0 1 375.36 625.08 Tm
-(the) Tj
-1 0 0 1 393.48 625.08 Tm
-(protocol) Tj
-1 0 0 1 432.6 625.08 Tm
-(proceeds) Tj
-1 0 0 1 473.879 625.08 Tm
-(as) Tj
-1 0 0 1 488.159 625.08 Tm
-(described) Tj
-1 0 0 1 532.199 625.08 Tm
-(in) Tj
-1 0 0 1 315 613.2 Tm
-(Section) Tj
-1 0 0 1 349.08 613.2 Tm
-(4.2.) Tj
-1 0 0 1 372.6 613.2 Tm
-(Replicas) Tj
-1 0 0 1 411 613.2 Tm
-(redo) Tj
-1 0 0 1 432.96 613.2 Tm
-(the) Tj
-1 0 0 1 449.28 613.2 Tm
-(protocol) Tj
-1 0 0 1 486.599 613.2 Tm
-(for) Tj
-1 0 0 1 502.319 613.2 Tm
-(messages) Tj
-1 0 0 1 315 601.2 Tm
-(between) Tj
-/R524 10 Tf
-1 0 0 1 352.56 601.2 Tm
-(min-s) Tj
-/R445 10 Tf
-1 0 0 1 379.08 601.2 Tm
-(and) Tj
-/R524 10 Tf
-1 0 0 1 397.92 601.2 Tm
-(max-s) Tj
-/R445 10 Tf
-1 0 0 1 426.12 601.2 Tm
-(b) Tj
-1 0 0 1 430.92 601.2 Tm
-(ut) Tj
-1 0 0 1 443.04 601.2 Tm
-(the) Tj
-1 0 0 1 455.16 601.2 Tm
-(y) Tj
-1 0 0 1 464.4 601.2 Tm
-(a) Tj
-1 0 0 1 468.6 601.2 Tm
-(v) Tj
-1 0 0 1 473.4 601.2 Tm
-(oid) Tj
-1 0 0 1 490.56 601.2 Tm
-(re-e) Tj
-1 0 0 1 506.039 601.2 Tm
-(x) Tj
-1 0 0 1 510.959 601.2 Tm
-(ecuting) Tj
-1 0 0 1 315 589.32 Tm
-(client) Tj
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-(requests) Tj
-1 0 0 1 376.56 589.32 Tm
-(\(by) Tj
-1 0 0 1 393.12 589.32 Tm
-(using) Tj
-1 0 0 1 418.08 589.32 Tm
-(their) Tj
-1 0 0 1 439.8 589.32 Tm
-(stored) Tj
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-(information) Tj
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-(about) Tj
-1 0 0 1 315 577.32 Tm
-(the) Tj
-1 0 0 1 329.64 577.32 Tm
-(last) Tj
-1 0 0 1 345.96 577.32 Tm
-(reply) Tj
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-(sent) Tj
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-(to) Tj
-1 0 0 1 397.68 577.32 Tm
-(each) Tj
-1 0 0 1 418.44 577.32 Tm
-(client\).) Tj
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-(A) Tj
-1 0 0 1 336 565.08 Tm
-(replica) Tj
-1 0 0 1 366.96 565.08 Tm
-(may) Tj
-1 0 0 1 387.96 565.08 Tm
-(be) Tj
-1 0 0 1 401.28 565.08 Tm
-(missing) Tj
-1 0 0 1 436.08 565.08 Tm
-(some) Tj
-1 0 0 1 461.04 565.08 Tm
-(request) Tj
-1 0 0 1 493.679 565.08 Tm
-(message) Tj
-ET
-q
-8.1 0 0 -4.6 531.4 569.6 cm
-/R504 Do
-Q
-BT
-1 0 0 1 315 553.08 Tm
-(or) Tj
-1 0 0 1 326.52 553.08 Tm
-(a) Tj
-1 0 0 1 334.32 553.08 Tm
-(stable) Tj
-1 0 0 1 360.72 553.08 Tm
-(checkpoint) Tj
-1 0 0 1 407.76 553.08 Tm
-(\(since) Tj
-1 0 0 1 434.76 553.08 Tm
-(these) Tj
-1 0 0 1 458.519 553.08 Tm
-(are) Tj
-1 0 0 1 473.999 553.08 Tm
-(not) Tj
-1 0 0 1 489.959 553.08 Tm
-(sent) Tj
-1 0 0 1 509.279 553.08 Tm
-(in) Tj
-1 0 0 1 520.319 553.08 Tm
-(ne) Tj
-1 0 0 1 529.559 553.08 Tm
-(w-) Tj
-1 0 0 1 315 541.2 Tm
-(vie) Tj
-1 0 0 1 327 541.2 Tm
-(w) Tj
-1 0 0 1 336.84 541.2 Tm
-(messages.\)) Tj
-1 0 0 1 384.36 541.2 Tm
-(It) Tj
-1 0 0 1 393.12 541.2 Tm
-(can) Tj
-1 0 0 1 409.68 541.2 Tm
-(obtain) Tj
-1 0 0 1 437.28 541.2 Tm
-(missing) Tj
-1 0 0 1 470.88 541.2 Tm
-(information) Tj
-1 0 0 1 520.679 541.2 Tm
-(from) Tj
-1 0 0 1 315 529.2 Tm
-(another) Tj
-1 0 0 1 349.44 529.2 Tm
-(replica.) Tj
-1 0 0 1 388.8 529.2 Tm
-(F) Tj
-1 0 0 1 394.2 529.2 Tm
-(or) Tj
-1 0 0 1 407.04 529.2 Tm
-(e) Tj
-1 0 0 1 411.36 529.2 Tm
-(xample,) Tj
-1 0 0 1 448.08 529.2 Tm
-(replica) Tj
-ET
-q
-2.6 0 0 -6.9 480 536 cm
-/R448 Do
-Q
-BT
-1 0 0 1 487.799 529.2 Tm
-(can) Tj
-1 0 0 1 506.159 529.2 Tm
-(obtain) Tj
-1 0 0 1 535.559 529.2 Tm
-(a) Tj
-1 0 0 1 315 517.32 Tm
-(missing) Tj
-1 0 0 1 351.24 517.32 Tm
-(checkpoint) Tj
-1 0 0 1 400.2 517.32 Tm
-(state) Tj
-ET
-q
-3.7 0 0 -4.6 424.2 521.8 cm
-/R492 Do
-Q
-BT
-1 0 0 1 433.68 517.32 Tm
-(from) Tj
-1 0 0 1 458.4 517.32 Tm
-(one) Tj
-1 0 0 1 477.96 517.32 Tm
-(of) Tj
-1 0 0 1 491.519 517.32 Tm
-(the) Tj
-1 0 0 1 509.039 517.32 Tm
-(replicas) Tj
-1 0 0 1 315 505.32 Tm
-(whose) Tj
-1 0 0 1 344.4 505.32 Tm
-(checkpoint) Tj
-1 0 0 1 392.04 505.32 Tm
-(messages) Tj
-1 0 0 1 433.56 505.32 Tm
-(certi\256ed) Tj
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-(its) Tj
-1 0 0 1 483.479 505.32 Tm
-(correctness) Tj
-1 0 0 1 532.199 505.32 Tm
-(in) Tj
-ET
-q
-6.3 0 0 -7.4 315.2 500.3 cm
-/R512 Do
-Q
-BT
-1 0 0 1 321.96 493.44 Tm
-(.) Tj
-1 0 0 1 327.96 493.44 Tm
-(Since) Tj
-ET
-q
-5 0 0 -9.2 352.6 500.5 cm
-/R496 Do
-Q
-q
-6.6 0 0 -6.5 360.1 499.2 cm
-/R456 Do
-Q
-BT
-1 0 0 1 369 493.44 Tm
-(1) Tj
-1 0 0 1 376.08 493.44 Tm
-(of) Tj
-1 0 0 1 386.52 493.44 Tm
-(those) Tj
-1 0 0 1 409.8 493.44 Tm
-(replicas) Tj
-1 0 0 1 442.92 493.44 Tm
-(are) Tj
-1 0 0 1 457.199 493.44 Tm
-(correct,) Tj
-1 0 0 1 489.599 493.44 Tm
-(replica) Tj
-ET
-q
-2.6 0 0 -6.9 519.1 500.2 cm
-/R448 Do
-Q
-BT
-1 0 0 1 524.519 493.44 Tm
-(will) Tj
-1 0 0 1 315 481.44 Tm
-(al) Tj
-1 0 0 1 322.08 481.44 Tm
-(w) Tj
-1 0 0 1 329.16 481.44 Tm
-(ays) Tj
-1 0 0 1 344.88 481.44 Tm
-(obtain) Tj
-ET
-q
-3.7 0 0 -4.6 372.5 485.9 cm
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-1 0 0 1 326.76 586.32 Tm
-(request) Tj
-1 0 0 1 357.96 586.32 Tm
-(will) Tj
-1 0 0 1 375.84 586.32 Tm
-(be) Tj
-1 0 0 1 387.6 586.32 Tm
-(ordered) Tj
-1 0 0 1 420.36 586.32 Tm
-(relati) Tj
-1 0 0 1 440.64 586.32 Tm
-(v) Tj
-1 0 0 1 445.559 586.32 Tm
-(e) Tj
-1 0 0 1 452.279 586.32 Tm
-(to) Tj
-1 0 0 1 462.359 586.32 Tm
-(concurrent) Tj
-1 0 0 1 507.359 586.32 Tm
-(requests) Tj
-1 0 0 1 315 574.44 Tm
-(by) Tj
-1 0 0 1 327.6 574.44 Tm
-(other) Tj
-1 0 0 1 350.76 574.44 Tm
-(clients.) Tj
-1 0 0 1 383.52 574.44 Tm
-(Instead,) Tj
-1 0 0 1 417.48 574.44 Tm
-(the) Tj
-1 0 0 1 432.36 574.44 Tm
-(primary) Tj
-1 0 0 1 466.679 574.44 Tm
-(needs) Tj
-1 0 0 1 491.999 574.44 Tm
-(to) Tj
-1 0 0 1 502.439 574.44 Tm
-(select) Tj
-1 0 0 1 527.879 574.44 Tm
-(the) Tj
-1 0 0 1 315 562.44 Tm
-(v) Tj
-1 0 0 1 319.8 562.44 Tm
-(alue) Tj
-1 0 0 1 339.6 562.44 Tm
-(either) Tj
-1 0 0 1 365.64 562.44 Tm
-(independently) Tj
-1 0 0 1 425.4 562.44 Tm
-(or) Tj
-1 0 0 1 436.92 562.44 Tm
-(based) Tj
-1 0 0 1 462.96 562.44 Tm
-(on) Tj
-1 0 0 1 476.279 562.44 Tm
-(v) Tj
-1 0 0 1 481.079 562.44 Tm
-(alues) Tj
-1 0 0 1 504.719 562.44 Tm
-(pro) Tj
-1 0 0 1 518.039 562.44 Tm
-(vided) Tj
-1 0 0 1 315 550.56 Tm
-(by) Tj
-1 0 0 1 327.48 550.56 Tm
-(the) Tj
-1 0 0 1 342.12 550.56 Tm
-(backups.) Tj
-1 0 0 1 324.96 538.08 Tm
-(If) Tj
-1 0 0 1 333.6 538.08 Tm
-(the) Tj
-1 0 0 1 347.76 538.08 Tm
-(primary) Tj
-1 0 0 1 381.24 538.08 Tm
-(selects) Tj
-1 0 0 1 409.8 538.08 Tm
-(the) Tj
-1 0 0 1 423.96 538.08 Tm
-(non-deterministic) Tj
-1 0 0 1 496.199 538.08 Tm
-(v) Tj
-1 0 0 1 500.999 538.08 Tm
-(alue) Tj
-1 0 0 1 519.479 538.08 Tm
-(inde-) Tj
-1 0 0 1 315 526.2 Tm
-(pendently) Tj
-1 0 0 1 354 526.2 Tm
-(,) Tj
-1 0 0 1 359.64 526.2 Tm
-(it) Tj
-1 0 0 1 368.4 526.2 Tm
-(concatenates) Tj
-1 0 0 1 422.52 526.2 Tm
-(the) Tj
-1 0 0 1 438 526.2 Tm
-(v) Tj
-1 0 0 1 442.8 526.2 Tm
-(alue) Tj
-1 0 0 1 462.599 526.2 Tm
-(with) Tj
-1 0 0 1 483.599 526.2 Tm
-(the) Tj
-1 0 0 1 499.079 526.2 Tm
-(associated) Tj
-1 0 0 1 315 514.2 Tm
-(request) Tj
-1 0 0 1 347.04 514.2 Tm
-(and) Tj
-1 0 0 1 364.68 514.2 Tm
-(e) Tj
-1 0 0 1 369 514.2 Tm
-(x) Tj
-1 0 0 1 373.92 514.2 Tm
-(ecutes) Tj
-1 0 0 1 402 514.2 Tm
-(the) Tj
-1 0 0 1 417.36 514.2 Tm
-(three) Tj
-1 0 0 1 440.52 514.2 Tm
-(phase) Tj
-1 0 0 1 466.56 514.2 Tm
-(protocol) Tj
-1 0 0 1 503.039 514.2 Tm
-(to) Tj
-1 0 0 1 513.959 514.2 Tm
-(ensure) Tj
-1 0 0 1 315 502.2 Tm
-(that) Tj
-1 0 0 1 332.88 502.2 Tm
-(non-f) Tj
-1 0 0 1 354.6 502.2 Tm
-(aulty) Tj
-1 0 0 1 377.16 502.2 Tm
-(replicas) Tj
-1 0 0 1 411 502.2 Tm
-(agree) Tj
-1 0 0 1 435.48 502.2 Tm
-(on) Tj
-1 0 0 1 448.32 502.2 Tm
-(a) Tj
-1 0 0 1 455.64 502.2 Tm
-(sequence) Tj
-1 0 0 1 494.999 502.2 Tm
-(number) Tj
-1 0 0 1 528.359 502.2 Tm
-(for) Tj
-1 0 0 1 315 490.32 Tm
-(the) Tj
-1 0 0 1 328.92 490.32 Tm
-(request) Tj
-1 0 0 1 359.52 490.32 Tm
-(and) Tj
-1 0 0 1 375.72 490.32 Tm
-(v) Tj
-1 0 0 1 380.52 490.32 Tm
-(alue.) Tj
-1 0 0 1 402.36 490.32 Tm
-(This) Tj
-1 0 0 1 421.8 490.32 Tm
-(pre) Tj
-1 0 0 1 434.4 490.32 Tm
-(v) Tj
-1 0 0 1 439.32 490.32 Tm
-(ents) Tj
-1 0 0 1 457.079 490.32 Tm
-(a) Tj
-1 0 0 1 463.199 490.32 Tm
-(f) Tj
-1 0 0 1 466.439 490.32 Tm
-(aulty) Tj
-1 0 0 1 488.159 490.32 Tm
-(pr) Tj
-1 0 0 1 496.439 490.32 Tm
-(imary) Tj
-1 0 0 1 521.399 490.32 Tm
-(f) Tj
-1 0 0 1 524.639 490.32 Tm
-(ro) Tj
-1 0 0 1 532.919 490.32 Tm
-(m) Tj
-1 0 0 1 315 478.32 Tm
-(causing) Tj
-1 0 0 1 348.12 478.32 Tm
-(replica) Tj
-1 0 0 1 378 478.32 Tm
-(state) Tj
-1 0 0 1 399 478.32 Tm
-(to) Tj
-1 0 0 1 409.56 478.32 Tm
-(di) Tj
-1 0 0 1 417.12 478.32 Tm
-(v) Tj
-1 0 0 1 422.04 478.32 Tm
-(er) Tj
-1 0 0 1 429.72 478.32 Tm
-(ge) Tj
-1 0 0 1 441.479 478.32 Tm
-(by) Tj
-1 0 0 1 454.199 478.32 Tm
-(sending) Tj
-1 0 0 1 487.919 478.32 Tm
-(dif) Tj
-1 0 0 1 498.839 478.32 Tm
-(ferent) Tj
-1 0 0 1 524.759 478.32 Tm
-(v) Tj
-1 0 0 1 529.559 478.32 Tm
-(al-) Tj
-1 0 0 1 315 466.44 Tm
-(ues) Tj
-1 0 0 1 330.12 466.44 Tm
-(to) Tj
-1 0 0 1 339.6 466.44 Tm
-(dif) Tj
-1 0 0 1 350.52 466.44 Tm
-(ferent) Tj
-1 0 0 1 375.48 466.44 Tm
-(replicas.) Tj
-1 0 0 1 412.32 466.44 Tm
-(Ho) Tj
-1 0 0 1 424.32 466.44 Tm
-(we) Tj
-1 0 0 1 435.72 466.44 Tm
-(v) Tj
-1 0 0 1 440.64 466.44 Tm
-(er) Tj
-1 0 0 1 448.079 466.44 Tm
-(,) Tj
-1 0 0 1 452.279 466.44 Tm
-(a) Tj
-1 0 0 1 458.399 466.44 Tm
-(f) Tj
-1 0 0 1 461.639 466.44 Tm
-(aulty) Tj
-1 0 0 1 483.359 466.44 Tm
-(primary) Tj
-1 0 0 1 516.719 466.44 Tm
-(might) Tj
-1 0 0 1 315 454.44 Tm
-(send) Tj
-1 0 0 1 335.52 454.44 Tm
-(the) Tj
-1 0 0 1 349.92 454.44 Tm
-(same,) Tj
-1 0 0 1 375.24 454.44 Tm
-(incorrect,) Tj
-1 0 0 1 415.44 454.44 Tm
-(v) Tj
-1 0 0 1 420.24 454.44 Tm
-(alue) Tj
-1 0 0 1 438.96 454.44 Tm
-(to) Tj
-1 0 0 1 449.04 454.44 Tm
-(all) Tj
-1 0 0 1 461.279 454.44 Tm
-(replicas.) Tj
-1 0 0 1 498.239 454.44 Tm
-(Therefore,) Tj
-1 0 0 1 315 442.56 Tm
-(replicas) Tj
-1 0 0 1 348.24 442.56 Tm
-(must) Tj
-1 0 0 1 369.84 442.56 Tm
-(be) Tj
-1 0 0 1 381.6 442.56 Tm
-(able) Tj
-1 0 0 1 400.44 442.56 Tm
-(to) Tj
-1 0 0 1 410.4 442.56 Tm
-(decide) Tj
-1 0 0 1 438.72 442.56 Tm
-(deterministically) Tj
-1 0 0 1 507.959 442.56 Tm
-(whether) Tj
-1 0 0 1 315 430.56 Tm
-(the) Tj
-1 0 0 1 329.28 430.56 Tm
-(v) Tj
-1 0 0 1 334.08 430.56 Tm
-(alue) Tj
-1 0 0 1 352.8 430.56 Tm
-(is) Tj
-1 0 0 1 361.56 430.56 Tm
-(correct) Tj
-1 0 0 1 391.32 430.56 Tm
-(\(and) Tj
-1 0 0 1 411.12 430.56 Tm
-(what) Tj
-1 0 0 1 432.6 430.56 Tm
-(to) Tj
-1 0 0 1 442.56 430.56 Tm
-(do) Tj
-1 0 0 1 454.679 430.56 Tm
-(if) Tj
-1 0 0 1 462.839 430.56 Tm
-(it) Tj
-1 0 0 1 470.519 430.56 Tm
-(is) Tj
-1 0 0 1 479.279 430.56 Tm
-(not\)) Tj
-1 0 0 1 497.519 430.56 Tm
-(based) Tj
-1 0 0 1 522.239 430.56 Tm
-(only) Tj
-1 0 0 1 315 418.68 Tm
-(on) Tj
-1 0 0 1 327.48 418.68 Tm
-(the) Tj
-1 0 0 1 342.12 418.68 Tm
-(service) Tj
-1 0 0 1 372.84 418.68 Tm
-(state.) Tj
-1 0 0 1 324.96 406.2 Tm
-(This) Tj
-1 0 0 1 345.24 406.2 Tm
-(protocol) Tj
-1 0 0 1 381 406.2 Tm
-(is) Tj
-1 0 0 1 390.24 406.2 Tm
-(adequate) Tj
-1 0 0 1 428.28 406.2 Tm
-(for) Tj
-1 0 0 1 442.44 406.2 Tm
-(most) Tj
-1 0 0 1 464.399 406.2 Tm
-(services) Tj
-1 0 0 1 499.079 406.2 Tm
-(\(including) Tj
-1 0 0 1 315 394.2 Tm
-(NFS\)) Tj
-1 0 0 1 343.44 394.2 Tm
-(b) Tj
-1 0 0 1 348.24 394.2 Tm
-(ut) Tj
-1 0 0 1 362.76 394.2 Tm
-(occasionally) Tj
-1 0 0 1 419.4 394.2 Tm
-(replicas) Tj
-1 0 0 1 457.2 394.2 Tm
-(must) Tj
-1 0 0 1 483.36 394.2 Tm
-(participate) Tj
-1 0 0 1 532.199 394.2 Tm
-(in) Tj
-1 0 0 1 315 382.32 Tm
-(selecting) Tj
-1 0 0 1 354.72 382.32 Tm
-(the) Tj
-1 0 0 1 371.16 382.32 Tm
-(v) Tj
-1 0 0 1 375.96 382.32 Tm
-(alue) Tj
-1 0 0 1 396.84 382.32 Tm
-(to) Tj
-1 0 0 1 408.96 382.32 Tm
-(satisfy) Tj
-1 0 0 1 439.199 382.32 Tm
-(a) Tj
-1 0 0 1 447.959 382.32 Tm
-(service') Tj
-1 0 0 1 479.039 382.32 Tm
-(s) Tj
-1 0 0 1 487.199 382.32 Tm
-(speci\256cation.) Tj
-1 0 0 1 315 370.32 Tm
-(This) Tj
-1 0 0 1 336.36 370.32 Tm
-(can) Tj
-1 0 0 1 353.76 370.32 Tm
-(be) Tj
-1 0 0 1 366.84 370.32 Tm
-(accomplished) Tj
-1 0 0 1 425.16 370.32 Tm
-(by) Tj
-1 0 0 1 438.84 370.32 Tm
-(adding) Tj
-1 0 0 1 469.56 370.32 Tm
-(an) Tj
-1 0 0 1 482.519 370.32 Tm
-(e) Tj
-1 0 0 1 486.839 370.32 Tm
-(xtra) Tj
-1 0 0 1 505.919 370.32 Tm
-(phase) Tj
-1 0 0 1 532.199 370.32 Tm
-(to) Tj
-1 0 0 1 315 358.44 Tm
-(the) Tj
-1 0 0 1 331.08 358.44 Tm
-(protocol:) Tj
-1 0 0 1 373.56 358.44 Tm
-(the) Tj
-1 0 0 1 389.64 358.44 Tm
-(primary) Tj
-1 0 0 1 425.04 358.44 Tm
-(obtains) Tj
-1 0 0 1 457.8 358.44 Tm
-(authenticated) Tj
-1 0 0 1 514.799 358.44 Tm
-(v) Tj
-1 0 0 1 519.599 358.44 Tm
-(alues) Tj
-1 0 0 1 315 346.44 Tm
-(proposed) Tj
-1 0 0 1 354.84 346.44 Tm
-(by) Tj
-1 0 0 1 368.04 346.44 Tm
-(the) Tj
-1 0 0 1 383.52 346.44 Tm
-(backups,) Tj
-1 0 0 1 422.04 346.44 Tm
-(concatenates) Tj
-1 0 0 1 476.279 346.44 Tm
-(2) Tj
-ET
-q
-5 0 0 -9.2 481.7 353.5 cm
-/R590 Do
-Q
-q
-6.6 0 0 -6.5 490.3 352.2 cm
-/R594 Do
-Q
-BT
-1 0 0 1 500.279 346.44 Tm
-(1) Tj
-1 0 0 1 508.559 346.44 Tm
-(of) Tj
-1 0 0 1 520.079 346.44 Tm
-(them) Tj
-1 0 0 1 315 334.56 Tm
-(with) Tj
-1 0 0 1 336.72 334.56 Tm
-(the) Tj
-1 0 0 1 352.92 334.56 Tm
-(associated) Tj
-1 0 0 1 397.92 334.56 Tm
-(request,) Tj
-1 0 0 1 433.68 334.56 Tm
-(and) Tj
-1 0 0 1 452.04 334.56 Tm
-(starts) Tj
-1 0 0 1 477.119 334.56 Tm
-(the) Tj
-1 0 0 1 493.319 334.56 Tm
-(three) Tj
-1 0 0 1 517.319 334.56 Tm
-(phase) Tj
-1 0 0 1 315 322.56 Tm
-(protocol) Tj
-1 0 0 1 350.88 322.56 Tm
-(for) Tj
-1 0 0 1 365.28 322.56 Tm
-(the) Tj
-1 0 0 1 380.16 322.56 Tm
-(concatenated) Tj
-1 0 0 1 434.88 322.56 Tm
-(message.) Tj
-1 0 0 1 475.319 322.56 Tm
-(Replicas) Tj
-1 0 0 1 512.279 322.56 Tm
-(choose) Tj
-1 0 0 1 315 310.68 Tm
-(the) Tj
-1 0 0 1 330.24 310.68 Tm
-(v) Tj
-1 0 0 1 335.04 310.68 Tm
-(alue) Tj
-1 0 0 1 354.6 310.68 Tm
-(by) Tj
-1 0 0 1 367.68 310.68 Tm
-(a) Tj
-1 0 0 1 375.12 310.68 Tm
-(deterministic) Tj
-1 0 0 1 430.2 310.68 Tm
-(computation) Tj
-1 0 0 1 482.999 310.68 Tm
-(on) Tj
-1 0 0 1 496.079 310.68 Tm
-(the) Tj
-1 0 0 1 511.319 310.68 Tm
-(2) Tj
-ET
-q
-5 0 0 -9.2 516.8 317.8 cm
-/R590 Do
-Q
-q
-6.6 0 0 -6.5 525.3 316.5 cm
-/R594 Do
-Q
-BT
-1 0 0 1 534.959 310.68 Tm
-(1) Tj
-1 0 0 1 315 298.68 Tm
-(v) Tj
-1 0 0 1 319.8 298.68 Tm
-(alues) Tj
-1 0 0 1 342.84 298.68 Tm
-(and) Tj
-1 0 0 1 359.88 298.68 Tm
-(their) Tj
-1 0 0 1 380.76 298.68 Tm
-(state,) Tj
-1 0 0 1 404.28 298.68 Tm
-(e.g.,) Tj
-1 0 0 1 423.84 298.68 Tm
-(taking) Tj
-1 0 0 1 451.32 298.68 Tm
-(the) Tj
-1 0 0 1 466.199 298.68 Tm
-(median.) Tj
-1 0 0 1 502.079 298.68 Tm
-(The) Tj
-1 0 0 1 520.199 298.68 Tm
-(e) Tj
-1 0 0 1 524.519 298.68 Tm
-(xtra) Tj
-1 0 0 1 315 286.8 Tm
-(phase) Tj
-1 0 0 1 340.8 286.8 Tm
-(can) Tj
-1 0 0 1 357.72 286.8 Tm
-(be) Tj
-1 0 0 1 370.2 286.8 Tm
-(optimized) Tj
-1 0 0 1 413.16 286.8 Tm
-(a) Tj
-1 0 0 1 417.48 286.8 Tm
-(w) Tj
-1 0 0 1 424.56 286.8 Tm
-(ay) Tj
-1 0 0 1 437.04 286.8 Tm
-(in) Tj
-1 0 0 1 447.96 286.8 Tm
-(the) Tj
-1 0 0 1 463.199 286.8 Tm
-(common) Tj
-1 0 0 1 501.239 286.8 Tm
-(case.) Tj
-1 0 0 1 526.319 286.8 Tm
-(F) Tj
-1 0 0 1 531.719 286.8 Tm
-(or) Tj
-1 0 0 1 315 274.8 Tm
-(e) Tj
-1 0 0 1 319.32 274.8 Tm
-(xample,) Tj
-1 0 0 1 354.24 274.8 Tm
-(if) Tj
-1 0 0 1 363.24 274.8 Tm
-(replicas) Tj
-1 0 0 1 397.2 274.8 Tm
-(need) Tj
-1 0 0 1 419.04 274.8 Tm
-(a) Tj
-1 0 0 1 426.48 274.8 Tm
-(v) Tj
-1 0 0 1 431.28 274.8 Tm
-(alue) Tj
-1 0 0 1 450.84 274.8 Tm
-(that) Tj
-1 0 0 1 468.719 274.8 Tm
-(is) Tj
-1 0 0 1 478.319 274.8 Tm
-(\252close) Tj
-1 0 0 1 506.279 274.8 Tm
-(enough\272) Tj
-1 0 0 1 315 262.92 Tm
-(to) Tj
-1 0 0 1 324.84 262.92 Tm
-(that) Tj
-1 0 0 1 341.88 262.92 Tm
-(of) Tj
-1 0 0 1 352.32 262.92 Tm
-(their) Tj
-1 0 0 1 372.72 262.92 Tm
-(local) Tj
-1 0 0 1 394.2 262.92 Tm
-(clock,) Tj
-1 0 0 1 420.48 262.92 Tm
-(the) Tj
-1 0 0 1 434.76 262.92 Tm
-(e) Tj
-1 0 0 1 439.079 262.92 Tm
-(xtra) Tj
-1 0 0 1 456.599 262.92 Tm
-(phase) Tj
-1 0 0 1 481.439 262.92 Tm
-(can) Tj
-1 0 0 1 497.399 262.92 Tm
-(be) Tj
-1 0 0 1 508.799 262.92 Tm
-(a) Tj
-1 0 0 1 512.999 262.92 Tm
-(v) Tj
-1 0 0 1 517.799 262.92 Tm
-(oided) Tj
-1 0 0 1 315 250.92 Tm
-(when) Tj
-1 0 0 1 339.12 250.92 Tm
-(their) Tj
-1 0 0 1 359.88 250.92 Tm
-(clocks) Tj
-1 0 0 1 387.72 250.92 Tm
-(are) Tj
-1 0 0 1 402.48 250.92 Tm
-(synchronized) Tj
-1 0 0 1 458.04 250.92 Tm
-(within) Tj
-1 0 0 1 485.999 250.92 Tm
-(some) Tj
-1 0 0 1 509.519 250.92 Tm
-(delta.) Tj
-/R610 12 Tf
-1 0 0 1 315 222.96 Tm
-(5) Tj
-1 0 0 1 332.88 222.96 Tm
-(Optimizations) Tj
-/R583 10 Tf
-1 0 0 1 315 205.44 Tm
-(This) Tj
-1 0 0 1 335.88 205.44 Tm
-(section) Tj
-1 0 0 1 367.2 205.44 Tm
-(describes) Tj
-1 0 0 1 407.4 205.44 Tm
-(some) Tj
-1 0 0 1 431.64 205.44 Tm
-(optimizations) Tj
-1 0 0 1 488.999 205.44 Tm
-(that) Tj
-1 0 0 1 507.119 205.44 Tm
-(impro) Tj
-1 0 0 1 530.999 205.44 Tm
-(v) Tj
-1 0 0 1 535.919 205.44 Tm
-(e) Tj
-1 0 0 1 315 193.56 Tm
-(the) Tj
-1 0 0 1 331.92 193.56 Tm
-(performance) Tj
-1 0 0 1 387 193.56 Tm
-(of) Tj
-1 0 0 1 400.08 193.56 Tm
-(the) Tj
-1 0 0 1 417 193.56 Tm
-(algorithm) Tj
-1 0 0 1 460.56 193.56 Tm
-(during) Tj
-1 0 0 1 491.279 193.56 Tm
-(normal-case) Tj
-1 0 0 1 315 181.56 Tm
-(operation.) Tj
-1 0 0 1 363.24 181.56 Tm
-(All) Tj
-1 0 0 1 380.04 181.56 Tm
-(the) Tj
-1 0 0 1 396.24 181.56 Tm
-(optimizations) Tj
-1 0 0 1 454.44 181.56 Tm
-(preserv) Tj
-1 0 0 1 483.839 181.56 Tm
-(e) Tj
-1 0 0 1 492.119 181.56 Tm
-(the) Tj
-1 0 0 1 508.319 181.56 Tm
-(li) Tj
-1 0 0 1 513.599 181.56 Tm
-(v) Tj
-1 0 0 1 518.519 181.56 Tm
-(eness) Tj
-1 0 0 1 315 169.68 Tm
-(and) Tj
-1 0 0 1 331.92 169.68 Tm
-(safety) Tj
-1 0 0 1 358.2 169.68 Tm
-(properties.) Tj
-/R610 10 Tf
-1 0 0 1 315 145.92 Tm
-(5.1) Tj
-1 0 0 1 337.44 145.92 Tm
-(Reducing) Tj
-1 0 0 1 380.28 145.92 Tm
-(Communication) Tj
-/R583 10 Tf
-1 0 0 1 315 130.68 Tm
-(W) Tj
-1 0 0 1 323.52 130.68 Tm
-(e) Tj
-1 0 0 1 334.8 130.68 Tm
-(use) Tj
-1 0 0 1 354.72 130.68 Tm
-(three) Tj
-1 0 0 1 381.36 130.68 Tm
-(optimizations) Tj
-1 0 0 1 442.32 130.68 Tm
-(to) Tj
-1 0 0 1 456.84 130.68 Tm
-(reduce) Tj
-1 0 0 1 490.079 130.68 Tm
-(the) Tj
-1 0 0 1 508.919 130.68 Tm
-(cost) Tj
-1 0 0 1 531.719 130.68 Tm
-(of) Tj
-1 0 0 1 315 118.8 Tm
-(communication.) Tj
-1 0 0 1 389.76 118.8 Tm
-(The) Tj
-1 0 0 1 409.92 118.8 Tm
-(\256rst) Tj
-1 0 0 1 430.2 118.8 Tm
-(a) Tj
-1 0 0 1 434.4 118.8 Tm
-(v) Tj
-1 0 0 1 439.2 118.8 Tm
-(oids) Tj
-1 0 0 1 460.44 118.8 Tm
-(sending) Tj
-1 0 0 1 496.2 118.8 Tm
-(most) Tj
-1 0 0 1 520.319 118.8 Tm
-(lar) Tj
-1 0 0 1 530.759 118.8 Tm
-(ge) Tj
-1 0 0 1 315 106.8 Tm
-(replies.) Tj
-1 0 0 1 352.92 106.8 Tm
-(A) Tj
-1 0 0 1 364.44 106.8 Tm
-(client) Tj
-1 0 0 1 390.84 106.8 Tm
-(request) Tj
-1 0 0 1 423.84 106.8 Tm
-(designates) Tj
-1 0 0 1 469.679 106.8 Tm
-(a) Tj
-1 0 0 1 478.319 106.8 Tm
-(replica) Tj
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-1 0 0 1 160.08 525.24 Tm
-(among) Tj
-1 0 0 1 189.24 525.24 Tm
-(the) Tj
-1 0 0 1 203.52 525.24 Tm
-(replies) Tj
-1 0 0 1 232.199 525.24 Tm
-(of) Tj
-1 0 0 1 242.519 525.24 Tm
-(the) Tj
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-(indi) Tj
-1 0 0 1 272.159 525.24 Tm
-(vidual) Tj
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-(replicas.) Tj
-1 0 0 1 112.2 513.24 Tm
-(It) Tj
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-(returns) Tj
-1 0 0 1 153 513.24 Tm
-(a) Tj
-1 0 0 1 160.92 513.24 Tm
-(pointer) Tj
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-(to) Tj
-1 0 0 1 203.879 513.24 Tm
-(a) Tj
-1 0 0 1 211.799 513.24 Tm
-(b) Tj
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-(uf) Tj
-1 0 0 1 224.759 513.24 Tm
-(fer) Tj
-1 0 0 1 239.279 513.24 Tm
-(containing) Tj
-1 0 0 1 284.879 513.24 Tm
-(the) Tj
-1 0 0 1 72 501.36 Tm
-(operation) Tj
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-(result.) Tj
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-(On) Tj
-1 0 0 1 99.5999 489.36 Tm
-(the) Tj
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-(serv) Tj
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-(er) Tj
-1 0 0 1 147 489.36 Tm
-(side,) Tj
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-(the) Tj
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-(replication) Tj
-1 0 0 1 237.479 489.36 Tm
-(code) Tj
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-(mak) Tj
-1 0 0 1 278.879 489.36 Tm
-(es) Tj
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-(a) Tj
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-(number) Tj
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-(of) Tj
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-(upcalls) Tj
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-(to) Tj
-1 0 0 1 160.68 477.36 Tm
-(procedures) Tj
-1 0 0 1 207.96 477.36 Tm
-(that) Tj
-1 0 0 1 226.32 477.36 Tm
-(the) Tj
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-(serv) Tj
-1 0 0 1 258.599 477.36 Tm
-(er) Tj
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-(part) Tj
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-(of) Tj
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-(the) Tj
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-(application) Tj
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-(must) Tj
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-(implement.) Tj
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-(There) Tj
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-(are) Tj
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-(procedures) Tj
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-(to) Tj
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-(e) Tj
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-(x) Tj
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-(ecute) Tj
-1 0 0 1 114.84 453.48 Tm
-(requests) Tj
-1 0 0 1 149.88 453.48 Tm
-(\() Tj
-/R697 10 Tf
-1 0 0 1 153.24 453.48 Tm
-(e) Tj
-1 0 0 1 157.44 453.48 Tm
-(xecute) Tj
-/R694 10 Tf
-1 0 0 1 183 453.48 Tm
-(\),) Tj
-1 0 0 1 191.16 453.48 Tm
-(to) Tj
-1 0 0 1 201.36 453.48 Tm
-(maintain) Tj
-1 0 0 1 238.679 453.48 Tm
-(checkpoints) Tj
-1 0 0 1 288.719 453.48 Tm
-(of) Tj
-1 0 0 1 72 441.48 Tm
-(the) Tj
-1 0 0 1 86.0399 441.48 Tm
-(service) Tj
-1 0 0 1 116.04 441.48 Tm
-(state) Tj
-1 0 0 1 136.2 441.48 Tm
-(\() Tj
-/R697 10 Tf
-1 0 0 1 139.56 441.48 Tm
-(mak) Tj
-1 0 0 1 156.12 441.48 Tm
-(e) Tj
-ET
-Q
-q
-W
-0 0 612 792 re
-n
-q
-3 0 0 -0.48 161.148 441.972 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-/R697 10 Tf
-1 0 0 1 164.04 441.48 Tm
-(c) Tj
-1 0 0 1 168.36 441.48 Tm
-(hec) Tj
-1 0 0 1 182.04 441.48 Tm
-(kpoint) Tj
-/R694 10 Tf
-1 0 0 1 207.12 441.48 Tm
-(,) Tj
-/R697 10 Tf
-1 0 0 1 211.319 441.48 Tm
-(delete) Tj
-ET
-q
-3 0 0 -0.48 235.788 441.972 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 238.679 441.48 Tm
-(c) Tj
-1 0 0 1 242.999 441.48 Tm
-(hec) Tj
-1 0 0 1 256.679 441.48 Tm
-(kpoint) Tj
-/R694 10 Tf
-1 0 0 1 281.759 441.48 Tm
-(\),) Tj
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-(to) Tj
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-(obtain) Tj
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-(the) Tj
-1 0 0 1 115.92 429.6 Tm
-(digest) Tj
-1 0 0 1 143.04 429.6 Tm
-(of) Tj
-1 0 0 1 154.8 429.6 Tm
-(a) Tj
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-(speci\256ed) Tj
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-(checkpoint) Tj
-1 0 0 1 248.519 429.6 Tm
-(\() Tj
-/R697 10 Tf
-1 0 0 1 251.879 429.6 Tm
-(g) Tj
-1 0 0 1 256.799 429.6 Tm
-(et) Tj
-ET
-q
-3 0 0 -0.48 264.588 430.092 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 267.479 429.6 Tm
-(dig) Tj
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-(est) Tj
-/R694 10 Tf
-1 0 0 1 291.239 429.6 Tm
-(\),) Tj
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-(and) Tj
-1 0 0 1 93.48 417.6 Tm
-(to) Tj
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-(obtain) Tj
-1 0 0 1 140.4 417.6 Tm
-(missing) Tj
-1 0 0 1 178.56 417.6 Tm
-(information) Tj
-1 0 0 1 232.68 417.6 Tm
-(\() Tj
-/R697 10 Tf
-1 0 0 1 236.04 417.6 Tm
-(g) Tj
-1 0 0 1 240.96 417.6 Tm
-(et) Tj
-ET
-q
-3 0 0 -0.48 248.748 418.092 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 251.639 417.6 Tm
-(c) Tj
-1 0 0 1 255.959 417.6 Tm
-(hec) Tj
-1 0 0 1 269.639 417.6 Tm
-(kpoint) Tj
-/R694 10 Tf
-1 0 0 1 294.719 417.6 Tm
-(,) Tj
-/R697 10 Tf
-1 0 0 1 72 405.72 Tm
-(set) Tj
-ET
-q
-3 0 0 -0.48 83.628 406.212 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 86.6399 405.72 Tm
-(c) Tj
-1 0 0 1 90.9599 405.72 Tm
-(hec) Tj
-1 0 0 1 104.64 405.72 Tm
-(kpoint) Tj
-/R694 10 Tf
-1 0 0 1 129.72 405.72 Tm
-(\).) Tj
-1 0 0 1 138.84 405.72 Tm
-(The) Tj
-/R697 10 Tf
-1 0 0 1 156.72 405.72 Tm
-(e) Tj
-1 0 0 1 160.92 405.72 Tm
-(xecute) Tj
-/R694 10 Tf
-1 0 0 1 188.88 405.72 Tm
-(procedure) Tj
-1 0 0 1 231.12 405.72 Tm
-(recei) Tj
-1 0 0 1 250.319 405.72 Tm
-(v) Tj
-1 0 0 1 255.239 405.72 Tm
-(es) Tj
-1 0 0 1 265.799 405.72 Tm
-(as) Tj
-1 0 0 1 276.479 405.72 Tm
-(input) Tj
-1 0 0 1 72 393.72 Tm
-(a) Tj
-1 0 0 1 78.96 393.72 Tm
-(b) Tj
-1 0 0 1 83.7599 393.72 Tm
-(uf) Tj
-1 0 0 1 91.9199 393.72 Tm
-(fer) Tj
-1 0 0 1 105.48 393.72 Tm
-(containing) Tj
-1 0 0 1 150.12 393.72 Tm
-(the) Tj
-1 0 0 1 164.76 393.72 Tm
-(requested) Tj
-1 0 0 1 205.56 393.72 Tm
-(operation,) Tj
-1 0 0 1 248.279 393.72 Tm
-(e) Tj
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-(x) Tj
-1 0 0 1 257.519 393.72 Tm
-(ecutes) Tj
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-(the) Tj
-1 0 0 1 72 381.84 Tm
-(operation,) Tj
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-(and) Tj
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-(places) Tj
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-(the) Tj
-1 0 0 1 174.96 381.84 Tm
-(result) Tj
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-(in) Tj
-1 0 0 1 210.479 381.84 Tm
-(an) Tj
-1 0 0 1 222.719 381.84 Tm
-(output) Tj
-1 0 0 1 251.039 381.84 Tm
-(b) Tj
-1 0 0 1 255.839 381.84 Tm
-(uf) Tj
-1 0 0 1 263.999 381.84 Tm
-(fer) Tj
-1 0 0 1 274.559 381.84 Tm
-(.) Tj
-1 0 0 1 281.519 381.84 Tm
-(The) Tj
-1 0 0 1 72 369.84 Tm
-(other) Tj
-1 0 0 1 96.7199 369.84 Tm
-(procedures) Tj
-1 0 0 1 144.6 369.84 Tm
-(are) Tj
-1 0 0 1 160.92 369.84 Tm
-(discussed) Tj
-1 0 0 1 203.28 369.84 Tm
-(further) Tj
-1 0 0 1 234.599 369.84 Tm
-(in) Tj
-1 0 0 1 246.599 369.84 Tm
-(Sections) Tj
-1 0 0 1 284.519 369.84 Tm
-(6.3) Tj
-1 0 0 1 72 357.96 Tm
-(and) Tj
-1 0 0 1 88.9199 357.96 Tm
-(6.4.) Tj
-1 0 0 1 81.96 345.84 Tm
-(Point-to-point) Tj
-1 0 0 1 139.8 345.84 Tm
-(communication) Tj
-1 0 0 1 203.76 345.84 Tm
-(betwee) Tj
-1 0 0 1 231.96 345.84 Tm
-(n) Tj
-1 0 0 1 238.56 345.84 Tm
-(no) Tj
-1 0 0 1 248.52 345.84 Tm
-(des) Tj
-1 0 0 1 263.399 345.84 Tm
-(is) Tj
-1 0 0 1 271.559 345.84 Tm
-(imple-) Tj
-1 0 0 1 72 333.96 Tm
-(mented) Tj
-1 0 0 1 103.44 333.96 Tm
-(using) Tj
-1 0 0 1 127.2 333.96 Tm
-(UDP) Tj
-1 0 0 1 146.04 333.96 Tm
-(,) Tj
-1 0 0 1 150.72 333.96 Tm
-(and) Tj
-1 0 0 1 167.28 333.96 Tm
-(multicast) Tj
-1 0 0 1 205.92 333.96 Tm
-(to) Tj
-1 0 0 1 215.88 333.96 Tm
-(the) Tj
-1 0 0 1 230.16 333.96 Tm
-(group) Tj
-1 0 0 1 255.599 333.96 Tm
-(of) Tj
-1 0 0 1 266.039 333.96 Tm
-(replicas) Tj
-1 0 0 1 72 321.96 Tm
-(is) Tj
-1 0 0 1 81.48 321.96 Tm
-(implemented) Tj
-1 0 0 1 136.44 321.96 Tm
-(using) Tj
-1 0 0 1 160.8 321.96 Tm
-(UDP) Tj
-1 0 0 1 183.6 321.96 Tm
-(o) Tj
-1 0 0 1 188.52 321.96 Tm
-(v) Tj
-1 0 0 1 193.44 321.96 Tm
-(er) Tj
-1 0 0 1 203.88 321.96 Tm
-(IP) Tj
-1 0 0 1 215.52 321.96 Tm
-(multicast) Tj
-1 0 0 1 254.999 321.96 Tm
-([7) Tj
-1 0 0 1 263.279 321.96 Tm
-(].) Tj
-1 0 0 1 273.719 321.96 Tm
-(There) Tj
-1 0 0 1 72 310.08 Tm
-(is) Tj
-1 0 0 1 80.52 310.08 Tm
-(a) Tj
-1 0 0 1 86.7599 310.08 Tm
-(single) Tj
-1 0 0 1 112.44 310.08 Tm
-(IP) Tj
-1 0 0 1 123.24 310.08 Tm
-(multicast) Tj
-1 0 0 1 161.64 310.08 Tm
-(group) Tj
-1 0 0 1 186.72 310.08 Tm
-(for) Tj
-1 0 0 1 200.279 310.08 Tm
-(each) Tj
-1 0 0 1 220.319 310.08 Tm
-(service,) Tj
-1 0 0 1 253.079 310.08 Tm
-(which) Tj
-1 0 0 1 279.239 310.08 Tm
-(con-) Tj
-1 0 0 1 72 298.08 Tm
-(tains) Tj
-1 0 0 1 92.8799 298.08 Tm
-(all) Tj
-1 0 0 1 104.76 298.08 Tm
-(the) Tj
-1 0 0 1 119.04 298.08 Tm
-(replicas.) Tj
-1 0 0 1 155.88 298.08 Tm
-(These) Tj
-1 0 0 1 181.68 298.08 Tm
-(communication) Tj
-1 0 0 1 245.759 298.08 Tm
-(protocols) Tj
-1 0 0 1 284.879 298.08 Tm
-(are) Tj
-1 0 0 1 72 286.2 Tm
-(unreliable;) Tj
-1 0 0 1 116.64 286.2 Tm
-(the) Tj
-1 0 0 1 128.76 286.2 Tm
-(y) Tj
-1 0 0 1 135.36 286.2 Tm
-(may) Tj
-1 0 0 1 154.2 286.2 Tm
-(duplicate) Tj
-1 0 0 1 192.48 286.2 Tm
-(or) Tj
-1 0 0 1 202.56 286.2 Tm
-(lose) Tj
-1 0 0 1 220.319 286.2 Tm
-(messages) Tj
-1 0 0 1 259.679 286.2 Tm
-(or) Tj
-1 0 0 1 269.759 286.2 Tm
-(deli) Tj
-1 0 0 1 284.519 286.2 Tm
-(v) Tj
-1 0 0 1 289.439 286.2 Tm
-(er) Tj
-1 0 0 1 72 274.2 Tm
-(them) Tj
-1 0 0 1 94.4399 274.2 Tm
-(out) Tj
-1 0 0 1 109.68 274.2 Tm
-(of) Tj
-1 0 0 1 120.48 274.2 Tm
-(order) Tj
-1 0 0 1 141.12 274.2 Tm
-(.) Tj
-1 0 0 1 81.96 262.2 Tm
-(The) Tj
-1 0 0 1 103.8 262.2 Tm
-(algorithm) Tj
-1 0 0 1 148.92 262.2 Tm
-(tolerates) Tj
-1 0 0 1 189 262.2 Tm
-(out-of-order) Tj
-1 0 0 1 243.959 262.2 Tm
-(deli) Tj
-1 0 0 1 258.719 262.2 Tm
-(v) Tj
-1 0 0 1 263.639 262.2 Tm
-(ery) Tj
-1 0 0 1 282.599 262.2 Tm
-(and) Tj
-1 0 0 1 72 250.2 Tm
-(rejects) Tj
-1 0 0 1 100.8 250.2 Tm
-(duplicates.) Tj
-1 0 0 1 148.32 250.2 Tm
-(V) Tj
-1 0 0 1 154.92 250.2 Tm
-(ie) Tj
-1 0 0 1 161.88 250.2 Tm
-(w) Tj
-1 0 0 1 171.96 250.2 Tm
-(changes) Tj
-1 0 0 1 206.88 250.2 Tm
-(can) Tj
-1 0 0 1 223.56 250.2 Tm
-(be) Tj
-1 0 0 1 235.8 250.2 Tm
-(used) Tj
-1 0 0 1 256.799 250.2 Tm
-(to) Tj
-1 0 0 1 267.479 250.2 Tm
-(reco) Tj
-1 0 0 1 284.639 250.2 Tm
-(v) Tj
-1 0 0 1 289.559 250.2 Tm
-(er) Tj
-1 0 0 1 72 238.32 Tm
-(from) Tj
-1 0 0 1 93.8399 238.32 Tm
-(lost) Tj
-1 0 0 1 110.76 238.32 Tm
-(messages,) Tj
-1 0 0 1 153.36 238.32 Tm
-(b) Tj
-1 0 0 1 158.16 238.32 Tm
-(ut) Tj
-1 0 0 1 168.36 238.32 Tm
-(this) Tj
-1 0 0 1 185.28 238.32 Tm
-(is) Tj
-1 0 0 1 194.4 238.32 Tm
-(e) Tj
-1 0 0 1 198.72 238.32 Tm
-(xpensi) Tj
-1 0 0 1 224.64 238.32 Tm
-(v) Tj
-1 0 0 1 229.56 238.32 Tm
-(e) Tj
-1 0 0 1 236.159 238.32 Tm
-(and) Tj
-1 0 0 1 253.079 238.32 Tm
-(therefore) Tj
-1 0 0 1 291.479 238.32 Tm
-(it) Tj
-1 0 0 1 72 226.32 Tm
-(is) Tj
-1 0 0 1 81.48 226.32 Tm
-(important) Tj
-1 0 0 1 123.12 226.32 Tm
-(to) Tj
-1 0 0 1 133.68 226.32 Tm
-(perform) Tj
-1 0 0 1 168.6 226.32 Tm
-(retransmissions.) Tj
-1 0 0 1 237.719 226.32 Tm
-(During) Tj
-1 0 0 1 268.799 226.32 Tm
-(normal) Tj
-1 0 0 1 72 214.44 Tm
-(operation) Tj
-1 0 0 1 115.32 214.44 Tm
-(reco) Tj
-1 0 0 1 132.48 214.44 Tm
-(v) Tj
-1 0 0 1 137.4 214.44 Tm
-(ery) Tj
-1 0 0 1 155.52 214.44 Tm
-(from) Tj
-1 0 0 1 180.6 214.44 Tm
-(lost) Tj
-1 0 0 1 200.64 214.44 Tm
-(messages) Tj
-1 0 0 1 243.96 214.44 Tm
-(is) Tj
-1 0 0 1 256.319 214.44 Tm
-(dri) Tj
-1 0 0 1 267.239 214.44 Tm
-(v) Tj
-1 0 0 1 272.159 214.44 Tm
-(en) Tj
-1 0 0 1 287.039 214.44 Tm
-(by) Tj
-1 0 0 1 72 202.44 Tm
-(the) Tj
-1 0 0 1 88.1999 202.44 Tm
-(recei) Tj
-1 0 0 1 107.4 202.44 Tm
-(v) Tj
-1 0 0 1 112.32 202.44 Tm
-(er:) Tj
-1 0 0 1 129.24 202.44 Tm
-(backups) Tj
-1 0 0 1 165.84 202.44 Tm
-(send) Tj
-1 0 0 1 188.16 202.44 Tm
-(ne) Tj
-1 0 0 1 197.52 202.44 Tm
-(gati) Tj
-1 0 0 1 212.28 202.44 Tm
-(v) Tj
-1 0 0 1 217.2 202.44 Tm
-(e) Tj
-1 0 0 1 225.359 202.44 Tm
-(ackno) Tj
-1 0 0 1 249.119 202.44 Tm
-(wledgments) Tj
-1 0 0 1 72 190.56 Tm
-(to) Tj
-1 0 0 1 85.56 190.56 Tm
-(the) Tj
-1 0 0 1 103.68 190.56 Tm
-(primary) Tj
-1 0 0 1 141 190.56 Tm
-(when) Tj
-1 0 0 1 168.48 190.56 Tm
-(the) Tj
-1 0 0 1 180.6 190.56 Tm
-(y) Tj
-1 0 0 1 191.4 190.56 Tm
-(are) Tj
-1 0 0 1 209.4 190.56 Tm
-(out) Tj
-1 0 0 1 228 190.56 Tm
-(of) Tj
-1 0 0 1 242.159 190.56 Tm
-(date) Tj
-1 0 0 1 264.599 190.56 Tm
-(and) Tj
-1 0 0 1 284.879 190.56 Tm
-(the) Tj
-1 0 0 1 72 178.56 Tm
-(primary) Tj
-1 0 0 1 107.76 178.56 Tm
-(retransmits) Tj
-1 0 0 1 156.24 178.56 Tm
-(pre-prepare) Tj
-1 0 0 1 206.4 178.56 Tm
-(messages) Tj
-1 0 0 1 248.159 178.56 Tm
-(after) Tj
-1 0 0 1 270.599 178.56 Tm
-(a) Tj
-1 0 0 1 279.239 178.56 Tm
-(long) Tj
-1 0 0 1 72 166.68 Tm
-(timeout.) Tj
-1 0 0 1 113.76 166.68 Tm
-(A) Tj
-1 0 0 1 125.16 166.68 Tm
-(reply) Tj
-1 0 0 1 149.88 166.68 Tm
-(to) Tj
-1 0 0 1 161.76 166.68 Tm
-(a) Tj
-1 0 0 1 170.4 166.68 Tm
-(ne) Tj
-1 0 0 1 179.76 166.68 Tm
-(gati) Tj
-1 0 0 1 194.52 166.68 Tm
-(v) Tj
-1 0 0 1 199.44 166.68 Tm
-(e) Tj
-1 0 0 1 207.84 166.68 Tm
-(ackno) Tj
-1 0 0 1 231.6 166.68 Tm
-(wledgment) Tj
-1 0 0 1 279.839 166.68 Tm
-(may) Tj
-1 0 0 1 72 154.68 Tm
-(include) Tj
-1 0 0 1 103.56 154.68 Tm
-(both) Tj
-1 0 0 1 123.36 154.68 Tm
-(a) Tj
-1 0 0 1 130.08 154.68 Tm
-(portion) Tj
-1 0 0 1 161.04 154.68 Tm
-(of) Tj
-1 0 0 1 171.48 154.68 Tm
-(a) Tj
-1 0 0 1 178.08 154.68 Tm
-(stable) Tj
-1 0 0 1 203.52 154.68 Tm
-(checkpoint) Tj
-1 0 0 1 249.479 154.68 Tm
-(and) Tj
-1 0 0 1 266.039 154.68 Tm
-(missing) Tj
-1 0 0 1 72 142.8 Tm
-(messages.) Tj
-1 0 0 1 123.12 142.8 Tm
-(During) Tj
-1 0 0 1 156.36 142.8 Tm
-(vie) Tj
-1 0 0 1 168.36 142.8 Tm
-(w) Tj
-1 0 0 1 180.48 142.8 Tm
-(changes,) Tj
-1 0 0 1 220.68 142.8 Tm
-(replicas) Tj
-1 0 0 1 256.56 142.8 Tm
-(retransmit) Tj
-1 0 0 1 72 130.8 Tm
-(vie) Tj
-1 0 0 1 84 130.8 Tm
-(w-change) Tj
-1 0 0 1 124.32 130.8 Tm
-(messages) Tj
-1 0 0 1 163.68 130.8 Tm
-(until) Tj
-1 0 0 1 183.6 130.8 Tm
-(the) Tj
-1 0 0 1 195.72 130.8 Tm
-(y) Tj
-1 0 0 1 202.32 130.8 Tm
-(recei) Tj
-1 0 0 1 221.52 130.8 Tm
-(v) Tj
-1 0 0 1 226.44 130.8 Tm
-(e) Tj
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-(a) Tj
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-ET
-1 i
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-f
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-f
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-f
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-356.32 421.434 l
-f
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-361.153 421.434 l
-f
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-f
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-f
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-375.287 421.434 l
-f
-375.287 421.434 m
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-f
-380.046 421.434 m
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-f
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-f
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-f
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-f
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-f
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-f
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-f
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-f
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-f
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-f
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-f
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-f
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-f
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-1 0 0 1 252.959 538.8 Tm
-(state,) Tj
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-(some) Tj
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-(number) Tj
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-(of) Tj
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-(checkpoints) Tj
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-(that) Tj
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-(are) Tj
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-(not) Tj
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-(yet) Tj
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-(and) Tj
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-(the) Tj
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-(,) Tj
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-(and) Tj
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-(to) Tj
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-(reduce) Tj
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-(the) Tj
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-(maintaining) Tj
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-(on-write) Tj
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-(block) Tj
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-(in) Tj
-1 0 0 1 247.079 454.68 Tm
-(the) Tj
-1 0 0 1 263.759 454.68 Tm
-(memory) Tj
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-(mapped) Tj
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-(\256le.) Tj
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-(When) Tj
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-(the) Tj
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-(replication) Tj
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-(code) Tj
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-(in) Tj
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-(v) Tj
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-(ok) Tj
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-/R707 10 Tf
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-(e) Tj
-ET
-Q
-q
-W
-0 0 612 792 re
-n
-q
-3 0 0 -0.48 93.588 431.292 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-/R707 10 Tf
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-(olatile\)) Tj
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-(current) Tj
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-(it) Tj
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-(the) Tj
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-(of) Tj
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-(the) Tj
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-(that) Tj
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-(were) Tj
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-(modi\256ed) Tj
-1 0 0 1 72 371.16 Tm
-(since) Tj
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-(the) Tj
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-(checkpoint) Tj
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-(w) Tj
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-(as) Tj
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-(tak) Tj
-1 0 0 1 197.28 371.16 Tm
-(en,) Tj
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-(and) Tj
-1 0 0 1 234.959 371.16 Tm
-(therefore,) Tj
-1 0 0 1 279.479 371.16 Tm
-(it) Tj
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-(is) Tj
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-(initially) Tj
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-(empty) Tj
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-(.) Tj
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-(The) Tj
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-(record) Tj
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-(also) Tj
-1 0 0 1 208.56 359.16 Tm
-(contains) Tj
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-(the) Tj
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-(digest) Tj
-1 0 0 1 288.719 359.16 Tm
-(of) Tj
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-(the) Tj
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-(state;) Tj
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-(we) Tj
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-(discuss) Tj
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-(ho) Tj
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-(w) Tj
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-(the) Tj
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-(digest) Tj
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-(computed) Tj
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-(in) Tj
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-(Section) Tj
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-(6.4.) Tj
-1 0 0 1 81.96 322.8 Tm
-(When) Tj
-1 0 0 1 108.48 322.8 Tm
-(a) Tj
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-(block) Tj
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-(of) Tj
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-(the) Tj
-1 0 0 1 166.44 322.8 Tm
-(memory) Tj
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-(mapped) Tj
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-(\256le) Tj
-1 0 0 1 252.24 322.8 Tm
-(is) Tj
-1 0 0 1 261.599 322.8 Tm
-(modi\256ed) Tj
-1 0 0 1 72 310.92 Tm
-(while) Tj
-1 0 0 1 97.1999 310.92 Tm
-(e) Tj
-1 0 0 1 101.52 310.92 Tm
-(x) Tj
-1 0 0 1 106.44 310.92 Tm
-(ecuting) Tj
-1 0 0 1 138.6 310.92 Tm
-(a) Tj
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-(client) Tj
-1 0 0 1 171.24 310.92 Tm
-(request,) Tj
-/R707 10 Tf
-1 0 0 1 205.559 310.92 Tm
-(snfsd) Tj
-/R701 10 Tf
-1 0 0 1 229.079 310.92 Tm
-(checks) Tj
-1 0 0 1 259.199 310.92 Tm
-(the) Tj
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-(cop) Tj
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-(y-) Tj
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-(on-write) Tj
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-(bit) Tj
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-(for) Tj
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-(the) Tj
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-(block) Tj
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-(and,) Tj
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-(if) Tj
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-(it) Tj
-1 0 0 1 205.199 298.92 Tm
-(is) Tj
-1 0 0 1 213.719 298.92 Tm
-(set,) Tj
-1 0 0 1 229.199 298.92 Tm
-(stores) Tj
-1 0 0 1 254.279 298.92 Tm
-(the) Tj
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-(block') Tj
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-(s) Tj
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-(current) Tj
-1 0 0 1 102 287.04 Tm
-(contents) Tj
-1 0 0 1 137.04 287.04 Tm
-(and) Tj
-1 0 0 1 153.36 287.04 Tm
-(its) Tj
-1 0 0 1 164.52 287.04 Tm
-(identi\256er) Tj
-1 0 0 1 202.439 287.04 Tm
-(in) Tj
-1 0 0 1 212.039 287.04 Tm
-(the) Tj
-1 0 0 1 225.959 287.04 Tm
-(checkpoint) Tj
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-(record) Tj
-1 0 0 1 72 275.04 Tm
-(for) Tj
-1 0 0 1 87.5999 275.04 Tm
-(the) Tj
-1 0 0 1 103.8 275.04 Tm
-(last) Tj
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-(checkpoint.) Tj
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-(Then,) Tj
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-(it) Tj
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-(erwrites) Tj
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-(the) Tj
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-(its) Tj
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-/R701 10 Tf
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-(a) Tj
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-(record) Tj
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-(to) Tj
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-(it) Tj
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-(via) Tj
-1 0 0 1 96.5999 239.28 Tm
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-ET
-q
-3 0 0 -0.48 128.868 239.772 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 131.76 239.28 Tm
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-/R701 10 Tf
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-(which) Tj
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-(stable.) Tj
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-(If) Tj
-1 0 0 1 92.1599 214.8 Tm
-(the) Tj
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-(replication) Tj
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-(a) Tj
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-(to) Tj
-1 0 0 1 278.759 214.8 Tm
-(send) Tj
-1 0 0 1 72 202.92 Tm
-(to) Tj
-1 0 0 1 82.8 202.92 Tm
-(another) Tj
-1 0 0 1 115.68 202.92 Tm
-(replica,) Tj
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-(it) Tj
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-1 0 0 1 178.08 202.92 Tm
-(the) Tj
-/R707 10 Tf
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-(g) Tj
-1 0 0 1 198.239 202.92 Tm
-(et) Tj
-ET
-q
-3 0 0 -0.48 206.028 203.412 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 208.919 202.92 Tm
-(c) Tj
-1 0 0 1 213.239 202.92 Tm
-(hec) Tj
-1 0 0 1 226.919 202.92 Tm
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-/R701 10 Tf
-1 0 0 1 254.759 202.92 Tm
-(upcall.) Tj
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-(T) Tj
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-(obtain) Tj
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-(a) Tj
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-(block,) Tj
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-(snfsd) Tj
-/R701 10 Tf
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-(the) Tj
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-(the) Tj
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-1 0 0 1 250.799 179.04 Tm
-(checkpoint,) Tj
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-(and) Tj
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-(then) Tj
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-(searches) Tj
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-(later) Tj
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-(If) Tj
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-(alue) Tj
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-(from) Tj
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-(the) Tj
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-(current) Tj
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-(state.) Tj
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-(The) Tj
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-(use) Tj
-1 0 0 1 118.08 130.68 Tm
-(of) Tj
-1 0 0 1 130.08 130.68 Tm
-(the) Tj
-1 0 0 1 145.92 130.68 Tm
-(cop) Tj
-1 0 0 1 160.32 130.68 Tm
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-(o) Tj
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-(1.06ms,) Tj
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-(ger) Tj
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-(each) Tj
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-(Section) Tj
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-(5.1) Tj
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-(e) Tj
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-(xample,) Tj
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-(the) Tj
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-(computation) Tj
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-(o) Tj
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-(0/0) Tj
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-(operation) Tj
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-(0.43ms,) Tj
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-(which) Tj
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-(ecuting) Tj
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-(the) Tj
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-(because) Tj
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-(x) Tj
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-(a) Tj
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-(single) Tj
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-(round-trip.) Tj
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-(sho) Tj
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-(that) Tj
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-(the) Tj
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-(relati) Tj
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-(e) Tj
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-(o) Tj
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-(v) Tj
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-(erhead) Tj
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-(is) Tj
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-(lo) Tj
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-(wer) Tj
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-(for) Tj
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-(the) Tj
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-(4/0) Tj
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-(and) Tj
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-(0/4) Tj
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-(operations.) Tj
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-(because) Tj
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-(a) Tj
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-(signi\256cant) Tj
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-(the) Tj
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-(v) Tj
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-(erhead) Tj
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-(introduced) Tj
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-(the) Tj
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-(replication) Tj
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-(library) Tj
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-(is) Tj
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-(independent) Tj
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-(of) Tj
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-(the) Tj
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-(size) Tj
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-(guments) Tj
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-(and) Tj
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-(or) Tj
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-(e) Tj
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-(in) Tj
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-(the) Tj
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-(read-write) Tj
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-(0/4) Tj
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-(operation,) Tj
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-(the) Tj
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-(lar) Tj
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-(ge) Tj
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-(message) Tj
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-(\(the) Tj
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-(reply\)) Tj
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-(goes) Tj
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-(o) Tj
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-(v) Tj
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-(er) Tj
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-(the) Tj
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-(only) Tj
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-(once) Tj
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-(the) Tj
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-(cryptographic) Tj
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-(v) Tj
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-(erhead) Tj
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-(the) Tj
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-(reply) Tj
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-(message) Tj
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-(is) Tj
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-(o) Tj
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-(v) Tj
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-(erhead) Tj
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-(is) Tj
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-(higher) Tj
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-(the) Tj
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-(request\)) Tj
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-(o) Tj
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-(v) Tj
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-(er) Tj
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-(the) Tj
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-(netw) Tj
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-(ork) Tj
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-(twice) Tj
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-(and) Tj
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-(increases) Tj
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-(the) Tj
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-(cryptographic) Tj
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-(o) Tj
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-(and) Tj
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-(pre-prepare) Tj
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-(messages.) Tj
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-(important) Tj
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-(to) Tj
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-(note) Tj
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-(that) Tj
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-(this) Tj
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-(represents) Tj
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-(the) Tj
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-(w) Tj
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-(orst) Tj
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-(case) Tj
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-(o) Tj
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-(v) Tj
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-(erhead) Tj
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-(for) Tj
-1 0 0 1 483.239 431.04 Tm
-(our) Tj
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-(algorithm) Tj
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-(because) Tj
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-(the) Tj
-1 0 0 1 373.2 419.04 Tm
-(operations) Tj
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-(perform) Tj
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-(no) Tj
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-(w) Tj
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-(ork) Tj
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-(and) Tj
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-(the) Tj
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-(unreplicated) Tj
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-(er) Tj
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-(pro) Tj
-1 0 0 1 415.2 407.04 Tm
-(vides) Tj
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-(v) Tj
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-(ery) Tj
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-(weak) Tj
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-(guarantees.) Tj
-1 0 0 1 315 395.16 Tm
-(Most) Tj
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-(services) Tj
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-(will) Tj
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-(require) Tj
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-(stronger) Tj
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-(guarantees,) Tj
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-(e.g.,) Tj
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-(authenticated) Tj
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-(connections,) Tj
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-(and) Tj
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-(the) Tj
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-(o) Tj
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-(v) Tj
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-(erhead) Tj
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-(introduced) Tj
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-(by) Tj
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-(our) Tj
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-(algorithm) Tj
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-(relati) Tj
-1 0 0 1 402.36 371.28 Tm
-(v) Tj
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-(e) Tj
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-(con\256guration.) Tj
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-(The) Tj
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-(sample) Tj
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-(standard) Tj
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-(de) Tj
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-(viation) Tj
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-(for) Tj
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-(the) Tj
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-(total) Tj
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-(time) Tj
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-(to) Tj
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-(run) Tj
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-(the) Tj
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-(benchmark) Tj
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-(w) Tj
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-(as) Tj
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-(al) Tj
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-(w) Tj
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-(ays) Tj
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-(belo) Tj
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-(w) Tj
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-(2.6%) Tj
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-(of) Tj
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-(the) Tj
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-(reported) Tj
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-(v) Tj
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-(alue) Tj
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-(b) Tj
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-(ut) Tj
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-(it) Tj
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-(w) Tj
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-(as) Tj
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-(as) Tj
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-(high) Tj
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-(as) Tj
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-(14%) Tj
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-(for) Tj
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-(the) Tj
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-(indi) Tj
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-(vidual) Tj
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-(times) Tj
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-(of) Tj
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-(the) Tj
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-(\256rst) Tj
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-(four) Tj
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-(phases.) Tj
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-(This) Tj
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-(high) Tj
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-(v) Tj
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-(ariance) Tj
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-(w) Tj
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-(as) Tj
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-(also) Tj
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-(present) Tj
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-(in) Tj
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-(the) Tj
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-(NFS-std) Tj
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-(con\256guration.) Tj
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-(The) Tj
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-(estimated) Tj
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-(error) Tj
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-(for) Tj
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-(the) Tj
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-(reported) Tj
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-(mean) Tj
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-(w) Tj
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-(as) Tj
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-(belo) Tj
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-(w) Tj
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-(4.5%) Tj
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-(for) Tj
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-(the) Tj
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-(indi) Tj
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-(vidual) Tj
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-(phases) Tj
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-(and) Tj
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-(0.8%) Tj
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-(for) Tj
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-(the) Tj
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-(total.) Tj
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-(T) Tj
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-(able) Tj
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-(2) Tj
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-(sho) Tj
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-(ws) Tj
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-(the) Tj
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-(results) Tj
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-(for) Tj
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-(BFS) Tj
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-(and) Tj
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-(BFS-nr) Tj
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-(.) Tj
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-(The) Tj
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-(comparison) Tj
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-(between) Tj
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-(BFS-strict) Tj
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-(and) Tj
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-(BFS-nr) Tj
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-(sho) Tj
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-(ws) Tj
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-(that) Tj
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-(the) Tj
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-(o) Tj
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-(v) Tj
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-(erhead) Tj
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-(of) Tj
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-(Byzantine) Tj
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-(f) Tj
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-(ault) Tj
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-(tolerance) Tj
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-(for) Tj
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-(this) Tj
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-(service) Tj
-1 0 0 1 72 71.04 Tm
-(is) Tj
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-(lo) Tj
-1 0 0 1 89.8799 71.04 Tm
-(w) Tj
-1 0 0 1 100.8 71.04 Tm
-(\320) Tj
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-(BFS-strict) Tj
-1 0 0 1 159.12 71.04 Tm
-(tak) Tj
-1 0 0 1 171.24 71.04 Tm
-(es) Tj
-1 0 0 1 183.24 71.04 Tm
-(only) Tj
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-(26%) Tj
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-(more) Tj
-1 0 0 1 250.799 71.04 Tm
-(time) Tj
-1 0 0 1 272.279 71.04 Tm
-(to) Tj
-1 0 0 1 283.679 71.04 Tm
-(run) Tj
-ET
-Q
-q
-W
-0 0 612 792 re
-n
-q
-184.32 0 0 -0.48 335.388 709.092 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 335.148 708.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 367.548 708.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 367.548 708.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-/R725 9 Tf
-1 0 0 1 416.52 700.92 Tm
-(BFS) Tj
-ET
-q
-0.48 0 0 -11.04 481.068 708.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 519.468 708.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-113.64 0 0 -0.48 367.668 697.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 335.148 697.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 341.28 690 Tm
-(phase) Tj
-ET
-q
-0.48 0 0 -11.04 367.548 697.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 387.12 690 Tm
-(strict) Tj
-ET
-q
-0.48 0 0 -11.04 424.308 697.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 434.28 690 Tm
-(r/o) Tj
-1 0 0 1 446.52 690 Tm
-(lookup) Tj
-ET
-q
-0.48 0 0 -11.04 481.068 697.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 487.32 690 Tm
-(BFS-nr) Tj
-ET
-q
-0.48 0 0 -11.04 519.468 697.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-184.32 0 0 -0.48 335.388 686.772 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 335.148 686.412 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.32 678.6 Tm
-(1) Tj
-ET
-q
-0.48 0 0 -11.04 367.548 686.412 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 375.96 678.6 Tm
-(0.55) Tj
-1 0 0 1 393.84 678.6 Tm
-(\(57%\)) Tj
-ET
-q
-0.48 0 0 -11.04 424.308 686.412 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 432.72 678.6 Tm
-(0.47) Tj
-1 0 0 1 450.6 678.6 Tm
-(\(34%\)) Tj
-ET
-q
-0.48 0 0 -11.04 481.068 686.412 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 492.6 678.6 Tm
-(0.35) Tj
-ET
-q
-0.48 0 0 -11.04 519.468 686.412 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 335.148 675.492 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.32 667.68 Tm
-(2) Tj
-ET
-q
-0.48 0 0 -11.04 367.548 675.492 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 375.96 667.68 Tm
-(9.24) Tj
-1 0 0 1 393.84 667.68 Tm
-(\(82%\)) Tj
-ET
-q
-0.48 0 0 -11.04 424.308 675.492 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 432.72 667.68 Tm
-(7.91) Tj
-1 0 0 1 450.6 667.68 Tm
-(\(56%\)) Tj
-ET
-q
-0.48 0 0 -11.04 481.068 675.492 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 492.6 667.68 Tm
-(5.08) Tj
-ET
-q
-0.48 0 0 -11.04 519.468 675.492 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 335.148 664.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.32 656.76 Tm
-(3) Tj
-ET
-q
-0.48 0 0 -11.04 367.548 664.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 375.96 656.76 Tm
-(7.24) Tj
-1 0 0 1 393.84 656.76 Tm
-(\(18%\)) Tj
-ET
-q
-0.48 0 0 -11.04 424.308 664.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 435 656.76 Tm
-(6.45) Tj
-1 0 0 1 452.88 656.76 Tm
-(\(6%\)) Tj
-ET
-q
-0.48 0 0 -11.04 481.068 664.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 492.6 656.76 Tm
-(6.11) Tj
-ET
-q
-0.48 0 0 -11.04 519.468 664.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 335.148 653.532 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.32 645.72 Tm
-(4) Tj
-ET
-q
-0.48 0 0 -11.04 367.548 653.532 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 375.96 645.72 Tm
-(8.77) Tj
-1 0 0 1 393.84 645.72 Tm
-(\(18%\)) Tj
-ET
-q
-0.48 0 0 -11.04 424.308 653.532 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 435 645.72 Tm
-(7.87) Tj
-1 0 0 1 452.88 645.72 Tm
-(\(6%\)) Tj
-ET
-q
-0.48 0 0 -11.04 481.068 653.532 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 492.6 645.72 Tm
-(7.41) Tj
-ET
-q
-0.48 0 0 -11.04 519.468 653.532 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 335.148 642.612 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.32 634.8 Tm
-(5) Tj
-ET
-q
-0.48 0 0 -11.04 367.548 642.612 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 373.68 634.8 Tm
-(38.68) Tj
-1 0 0 1 396.12 634.8 Tm
-(\(20%\)) Tj
-ET
-q
-0.48 0 0 -11.04 424.308 642.612 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 430.44 634.8 Tm
-(38.38) Tj
-1 0 0 1 452.88 634.8 Tm
-(\(19%\)) Tj
-ET
-q
-0.48 0 0 -11.04 481.068 642.612 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 490.319 634.8 Tm
-(32.12) Tj
-ET
-q
-0.48 0 0 -11.04 519.468 642.612 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-184.32 0 0 -0.48 335.388 631.572 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 335.148 631.212 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 343.56 623.52 Tm
-(total) Tj
-ET
-q
-0.48 0 0 -11.04 367.548 631.212 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 373.68 623.52 Tm
-(64.48) Tj
-1 0 0 1 396.12 623.52 Tm
-(\(26%\)) Tj
-ET
-q
-0.48 0 0 -11.04 424.308 631.212 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 430.44 623.52 Tm
-(61.07) Tj
-1 0 0 1 452.88 623.52 Tm
-(\(20%\)) Tj
-ET
-q
-0.48 0 0 -11.04 481.068 631.212 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 490.319 623.52 Tm
-(51.07) Tj
-ET
-q
-0.48 0 0 -11.04 519.468 631.212 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-184.32 0 0 -0.48 335.388 620.292 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-/R725 10 Tf
-1 0 0 1 315 606.36 Tm
-(T) Tj
-1 0 0 1 320.28 606.36 Tm
-(able) Tj
-1 0 0 1 339.12 606.36 Tm
-(2:) Tj
-1 0 0 1 350.28 606.36 Tm
-(Andre) Tj
-1 0 0 1 375.12 606.36 Tm
-(w) Tj
-1 0 0 1 384.36 606.36 Tm
-(benchmark:) Tj
-1 0 0 1 434.88 606.36 Tm
-(BFS) Tj
-1 0 0 1 454.8 606.36 Tm
-(vs) Tj
-1 0 0 1 465.96 606.36 Tm
-(BFS-nr) Tj
-1 0 0 1 494.759 606.36 Tm
-(.) Tj
-1 0 0 1 500.639 606.36 Tm
-(The) Tj
-1 0 0 1 518.399 606.36 Tm
-(times) Tj
-1 0 0 1 315 594.36 Tm
-(are) Tj
-1 0 0 1 329.64 594.36 Tm
-(in) Tj
-1 0 0 1 339.84 594.36 Tm
-(seconds.) Tj
-1 0 0 1 315 569.16 Tm
-(the) Tj
-1 0 0 1 331.08 569.16 Tm
-(complete) Tj
-1 0 0 1 371.64 569.16 Tm
-(benchmark.) Tj
-1 0 0 1 426.24 569.16 Tm
-(The) Tj
-1 0 0 1 445.68 569.16 Tm
-(o) Tj
-1 0 0 1 450.6 569.16 Tm
-(v) Tj
-1 0 0 1 455.52 569.16 Tm
-(erhead) Tj
-1 0 0 1 485.88 569.16 Tm
-(is) Tj
-1 0 0 1 496.44 569.16 Tm
-(lo) Tj
-1 0 0 1 503.999 569.16 Tm
-(wer) Tj
-1 0 0 1 522.839 569.16 Tm
-(than) Tj
-1 0 0 1 315 557.28 Tm
-(what) Tj
-1 0 0 1 338.4 557.28 Tm
-(w) Tj
-1 0 0 1 345.48 557.28 Tm
-(as) Tj
-1 0 0 1 357.84 557.28 Tm
-(observ) Tj
-1 0 0 1 384.48 557.28 Tm
-(ed) Tj
-1 0 0 1 397.8 557.28 Tm
-(for) Tj
-1 0 0 1 413.4 557.28 Tm
-(the) Tj
-1 0 0 1 429.72 557.28 Tm
-(micro-benchmarks) Tj
-1 0 0 1 508.439 557.28 Tm
-(because) Tj
-1 0 0 1 315 545.28 Tm
-(the) Tj
-1 0 0 1 329.28 545.28 Tm
-(client) Tj
-1 0 0 1 353.4 545.28 Tm
-(spends) Tj
-1 0 0 1 382.68 545.28 Tm
-(a) Tj
-1 0 0 1 389.16 545.28 Tm
-(signi\256cant) Tj
-1 0 0 1 432.72 545.28 Tm
-(fraction) Tj
-1 0 0 1 465.72 545.28 Tm
-(of) Tj
-1 0 0 1 476.159 545.28 Tm
-(the) Tj
-1 0 0 1 490.319 545.28 Tm
-(elapsed) Tj
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-(for) Tj
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-ET
-q
-184.8 0 0 -0.48 335.148 316.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 334.908 315.972 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 367.308 315.972 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 367.308 315.972 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
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-(BFS) Tj
-ET
-q
-0.48 0 0 -11.04 477.828 315.972 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 519.708 315.972 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-110.64 0 0 -0.48 367.428 305.052 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 334.908 305.052 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
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-ET
-q
-0.48 0 0 -11.04 367.308 305.052 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
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-ET
-q
-0.48 0 0 -11.04 422.508 305.052 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
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-(r/o) Tj
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-ET
-q
-0.48 0 0 -11.04 477.828 305.052 cm
-BI
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-ID !!~>
-EI
-Q
-BT
-1 0 0 1 483.96 297.24 Tm
-(NFS-std) Tj
-ET
-q
-0.48 0 0 -11.04 519.708 305.052 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-184.8 0 0 -0.48 335.148 294.132 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 334.908 293.652 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.08 285.96 Tm
-(1) Tj
-ET
-q
-0.48 0 0 -11.04 367.308 293.652 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 373.44 285.96 Tm
-(0.55) Tj
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-(\(-69%\)) Tj
-ET
-q
-0.48 0 0 -11.04 422.508 293.652 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
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-(0.47) Tj
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-(\(-73%\)) Tj
-ET
-q
-0.48 0 0 -11.04 477.828 293.652 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 491.16 285.96 Tm
-(1.75) Tj
-ET
-q
-0.48 0 0 -11.04 519.708 293.652 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 334.908 282.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.08 274.92 Tm
-(2) Tj
-ET
-q
-0.48 0 0 -11.04 367.308 282.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 375.72 274.92 Tm
-(9.24) Tj
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-(\(-2%\)) Tj
-ET
-q
-0.48 0 0 -11.04 422.508 282.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 428.76 274.92 Tm
-(7.91) Tj
-1 0 0 1 446.64 274.92 Tm
-(\(-16%\)) Tj
-ET
-q
-0.48 0 0 -11.04 477.828 282.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 491.16 274.92 Tm
-(9.46) Tj
-ET
-q
-0.48 0 0 -11.04 519.708 282.732 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 334.908 271.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.08 264 Tm
-(3) Tj
-ET
-q
-0.48 0 0 -11.04 367.308 271.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 375 264 Tm
-(7.24) Tj
-1 0 0 1 392.88 264 Tm
-(\(35%\)) Tj
-ET
-q
-0.48 0 0 -11.04 422.508 271.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 430.2 264 Tm
-(6.45) Tj
-1 0 0 1 448.2 264 Tm
-(\(20%\)) Tj
-ET
-q
-0.48 0 0 -11.04 477.828 271.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 491.16 264 Tm
-(5.36) Tj
-ET
-q
-0.48 0 0 -11.04 519.708 271.812 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 334.908 260.772 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.08 253.08 Tm
-(4) Tj
-ET
-q
-0.48 0 0 -11.04 367.308 260.772 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 375 253.08 Tm
-(8.77) Tj
-1 0 0 1 392.88 253.08 Tm
-(\(32%\)) Tj
-ET
-q
-0.48 0 0 -11.04 422.508 260.772 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 430.2 253.08 Tm
-(7.87) Tj
-1 0 0 1 448.2 253.08 Tm
-(\(19%\)) Tj
-ET
-q
-0.48 0 0 -11.04 477.828 260.772 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 491.16 253.08 Tm
-(6.60) Tj
-ET
-q
-0.48 0 0 -11.04 519.708 260.772 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 334.908 249.852 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 349.08 242.04 Tm
-(5) Tj
-ET
-q
-0.48 0 0 -11.04 367.308 249.852 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 373.44 242.04 Tm
-(38.68) Tj
-1 0 0 1 395.88 242.04 Tm
-(\(-2%\)) Tj
-ET
-q
-0.48 0 0 -11.04 422.508 249.852 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 428.76 242.04 Tm
-(38.38) Tj
-1 0 0 1 451.2 242.04 Tm
-(\(-2%\)) Tj
-ET
-q
-0.48 0 0 -11.04 477.828 249.852 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 488.88 242.04 Tm
-(39.35) Tj
-ET
-q
-0.48 0 0 -11.04 519.708 249.852 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-184.8 0 0 -0.48 335.148 238.932 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-q
-0.48 0 0 -11.04 334.908 238.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 343.32 230.76 Tm
-(total) Tj
-ET
-q
-0.48 0 0 -11.04 367.308 238.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 375 230.76 Tm
-(64.48) Tj
-1 0 0 1 397.32 230.76 Tm
-(\(3%\)) Tj
-ET
-q
-0.48 0 0 -11.04 422.508 238.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 428.76 230.76 Tm
-(61.07) Tj
-1 0 0 1 451.2 230.76 Tm
-(\(-2%\)) Tj
-ET
-q
-0.48 0 0 -11.04 477.828 238.452 cm
-BI
-/IM true /W 1 /H 1 /BPC 1 /F [/A85]
-ID !!~>
-EI
-Q
-BT
-1 0 0 1 488.879 230.76 Tm
-(62.52) Tj
-ET
-q
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-1 0 0 1 537.839 500.4 Tm
-(,) Tj
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-([23]) Tj
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-(,) Tj
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-([24]) Tj
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-([25]) Tj
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-(wstamped) Tj
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-(In) Tj
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-(A) Tj
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-(CM) Tj
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-1 0 0 1 537.719 372.36 Tm
-(,) Tj
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-(1988.) Tj
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-([27]) Tj
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-(and) Tj
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-(P) Tj
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-(.) Tj
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-(Oorschot.) Tj
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-(MDx-MA) Tj
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-(C) Tj
-1 0 0 1 461.279 349.92 Tm
-(and) Tj
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-(Building) Tj
-1 0 0 1 504.119 349.92 Tm
-(F) Tj
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-(ast) Tj
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-(MA) Tj
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-(from) Tj
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-(Hash) Tj
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-(Functions.) Tj
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-(In) Tj
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-1 0 0 1 414 340.44 Tm
-(Crypto) Tj
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-(95) Tj
-/R780 8 Tf
-1 0 0 1 446.159 340.44 Tm
-(,) Tj
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-([28]) Tj
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-(C.) Tj
-1 0 0 1 343.56 327.36 Tm
-(Pu,) Tj
-1 0 0 1 357.24 327.36 Tm
-(A.) Tj
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-(Black,) Tj
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-(C.) Tj
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-(Co) Tj
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-(w) Tj
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-(an,) Tj
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-(alpole.) Tj
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-(A) Tj
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-(T) Tj
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-(the) Tj
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-(Di) Tj
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-(v) Tj
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-(ersity) Tj
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-(Operating) Tj
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-(In) Tj
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-1 0 0 1 516.479 317.88 Tm
-(ICMAS) Tj
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-(W) Tj
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-(orkshop) Tj
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-(on) Tj
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-(Systems) Tj
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-1 0 0 1 456.119 308.4 Tm
-(,) Tj
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-(1996.) Tj
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-([29]) Tj
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-(M.) Tj
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-(Reiter) Tj
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-(.) Tj
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-(Secure) Tj
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-(Agreement) Tj
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-(Protocols.) Tj
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-(In) Tj
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-1 0 0 1 474.599 295.32 Tm
-(A) Tj
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-(CM) Tj
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-(Confer) Tj
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-(ence) Tj
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-(on) Tj
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-(Computer) Tj
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-(and) Tj
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-(Communication) Tj
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-(Security) Tj
-/R780 8 Tf
-1 0 0 1 459.839 285.84 Tm
-(,) Tj
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-(1994.) Tj
-1 0 0 1 315 272.76 Tm
-([30]) Tj
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-(M.) Tj
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-(Reiter) Tj
-1 0 0 1 364.92 272.76 Tm
-(.) Tj
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-(The) Tj
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-(Rampart) Tj
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-(T) Tj
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-(oolkit) Tj
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-(for) Tj
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-(Building) Tj
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-(High-Inte) Tj
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-(grity) Tj
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-(Services.) Tj
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-1 0 0 1 368.88 263.4 Tm
-(Theory) Tj
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-(and) Tj
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-(Pr) Tj
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-(actice) Tj
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-(in) Tj
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-(Distrib) Tj
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-(uted) Tj
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-(Systems) Tj
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-(\(LNCS) Tj
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-(938\)) Tj
-/R780 8 Tf
-1 0 0 1 347.76 253.92 Tm
-(,) Tj
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-(1995.) Tj
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-([31]) Tj
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-(M.) Tj
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-(Reiter) Tj
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-(A) Tj
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-(Secure) Tj
-1 0 0 1 414.24 240.84 Tm
-(Group) Tj
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-(Membership) Tj
-1 0 0 1 484.079 240.84 Tm
-(Protocol.) Tj
-/R794 8 Tf
-1 0 0 1 522.719 240.84 Tm
-(IEEE) Tj
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-(T) Tj
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-(r) Tj
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-(ansactions) Tj
-1 0 0 1 376.32 231.36 Tm
-(on) Tj
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-(Softwar) Tj
-1 0 0 1 410.64 231.36 Tm
-(e) Tj
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-(Engineering) Tj
-/R780 8 Tf
-1 0 0 1 455.399 231.36 Tm
-(,) Tj
-1 0 0 1 459.719 231.36 Tm
-(22\(1\),) Tj
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-(1996.) Tj
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-([32]) Tj
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-(R.) Tj
-1 0 0 1 342.84 218.28 Tm
-(Ri) Tj
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-(v) Tj
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-(est.) Tj
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-(The) Tj
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-(MD5) Tj
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-(Message-Digest) Tj
-1 0 0 1 456.239 218.28 Tm
-(Algorithm.) Tj
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-(Internet) Tj
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-(RFC-) Tj
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-(1321,) Tj
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-(1992.) Tj
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-([33]) Tj
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-(R.) Tj
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-(Ri) Tj
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-(v) Tj
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-(est,) Tj
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-(A.) Tj
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-(Shamir) Tj
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-(,) Tj
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-(and) Tj
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-(L.) Tj
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-(Adleman.) Tj
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-(A) Tj
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-(Method) Tj
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-(for) Tj
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-(Obtaining) Tj
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-(Digital) Tj
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-(Signatures) Tj
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-(and) Tj
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-(Public-K) Tj
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-(e) Tj
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-(y) Tj
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-(Cryptosystems.) Tj
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-(Communications) Tj
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-(of) Tj
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-(the) Tj
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-(A) Tj
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-(CM) Tj
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-1 0 0 1 425.76 176.88 Tm
-(,) Tj
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-(21\(2\),) Tj
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-([34]) Tj
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-(F) Tj
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-(.) Tj
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-(Schneider) Tj
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-(.) Tj
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-(Implementing) Tj
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-(F) Tj
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-(ault-T) Tj
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-(olerant) Tj
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-(Services) Tj
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-(Using) Tj
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-(The) Tj
-1 0 0 1 333.24 154.32 Tm
-(State) Tj
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-(Machine) Tj
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-(Approach:) Tj
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-(A) Tj
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-(T) Tj
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-(utorial.) Tj
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-1 0 0 1 457.079 154.32 Tm
-(A) Tj
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-(CM) Tj
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-(Computing) Tj
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-(Surve) Tj
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-1 0 0 1 537.839 154.32 Tm
-(,) Tj
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-(22\(4\),) Tj
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-(1990.) Tj
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-([35]) Tj
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-(A.) Tj
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-(Shamir) Tj
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-(.) Tj
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-(Ho) Tj
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-(w) Tj
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-(to) Tj
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-(share) Tj
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-(a) Tj
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-(secret.) Tj
-/R794 8 Tf
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-(Communications) Tj
-1 0 0 1 501.239 131.76 Tm
-(of) Tj
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-(the) Tj
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-(A) Tj
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-(CM) Tj
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-1 0 0 1 537.959 131.76 Tm
-(,) Tj
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-(22\(11\),) Tj
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-(1979.) Tj
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-([36]) Tj
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-(G.) Tj
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-(Tsudik.) Tj
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-(Message) Tj
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-(Authentication) Tj
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-(with) Tj
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-(One-W) Tj
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-(ay) Tj
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-(Hash) Tj
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-(Functions.) Tj
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-1 0 0 1 368.52 99.72 Tm
-(A) Tj
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-(CM) Tj
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-(Computer) Tj
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-(Communications) Tj
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-(Re) Tj
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-(vie) Tj
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-(w) Tj
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-1 0 0 1 497.639 99.72 Tm
-(,) Tj
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-(22\(5\),) Tj
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-(1992.) Tj
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-([37]) Tj
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-(M.) Tj
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-(W) Tj
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-(iener) Tj
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-(.) Tj
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-(Comparison) Tj
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-(of) Tj
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-(Public-K) Tj
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-(e) Tj
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-(y) Tj
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-(Cryptosys-) Tj
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-(tems.) Tj
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-(RSA) Tj
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-(Labor) Tj
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-(atories') Tj
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-startxref
-745423
-%%EOF
diff --git a/docs/canonicalizing_human_readable_identifiers.html b/docs/canonicalizing_human_readable_identifiers.html
index e6ac791..cca81fa 100644
--- a/docs/canonicalizing_human_readable_identifiers.html
+++ b/docs/canonicalizing_human_readable_identifiers.html
@@ -12,7 +12,7 @@
Canonicalizing Human Readable Identifiers
-
+
Canonicalizing Human Readable Identifiers
@@ -36,7 +36,6 @@ Isolated homoglyphs, homoglyphs that do not look like any member of the scripts
If these rules result in any changes, the rule set is reapplied until no further changes ensue.
These documents are
licensed under the Creative
-Commons Attribution-Share Alike 3.0 License
+Commons Attribution-Share Alike 3.0 License
-
\ No newline at end of file
diff --git a/docs/check_html.sh b/docs/check_html.sh
index 5dbbc63..b34b61b 100644
--- a/docs/check_html.sh
+++ b/docs/check_html.sh
@@ -6,6 +6,3 @@ do
tidy -lang en_us --doctype html5 -utf8 -access 4 -e -q -o $TMP/fred.html "$f"
done
echo "checked all html files for html5 compliance."
-
-
-
diff --git a/docs/client_server.md b/docs/client_server.md
index 7212be4..f7a64dd 100644
--- a/docs/client_server.md
+++ b/docs/client_server.md
@@ -786,7 +786,7 @@ that make it possible to have the same API as xchacha20poly1305.
[OCB patents were abandoned in February 2021](https://www.metzdowd.com/pipermail/cryptography/2021-February/036762.html)
-One of these days I will produce a fork of libsodium that supports ``crypto_box_ristretto25519aes256ocb.\*easy.\*`, but that is hardly urgent.
+One of these days I will produce a fork of libsodium that supports ``crypto_box_ristretto25519aes256ocb.\*easy.\*`, but that is hardly urgent.
Just make sure the protocol negotiation allows new ciphers to be dropped in.
# Getting something up and running
diff --git a/docs/contributor_code_of_conduct.html b/docs/contributor_code_of_conduct.html
index 6754dbf..4891844 100644
--- a/docs/contributor_code_of_conduct.html
+++ b/docs/contributor_code_of_conduct.html
@@ -24,7 +24,7 @@
margin-left: 1em;
}
p.center {text-align:center;}
-
+
table {
border-collapse: collapse;
}
@@ -38,7 +38,6 @@
}
-
diff --git a/docs/crypto_currency_and_the_beast.html b/docs/crypto_currency_and_the_beast.html
index c86a1c7..6f3ed69 100644
--- a/docs/crypto_currency_and_the_beast.html
+++ b/docs/crypto_currency_and_the_beast.html
@@ -9,7 +9,7 @@
}
p.center {text-align:center;}
-
+
Crypto Currency and the Beast
@@ -106,4 +106,4 @@ people who prefer banking in secrecy and do not trust each other all that much.<
licensed under the Creative
Commons Attribution-Share Alike 3.0 License
-