Theoretical questions in Distributed Computing

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What does it mean for CvRDT replicas to transmit their state “infinitely often”?

In Shapiro et al.'s SSS '11 paper on Conflict-Free Replicated Data Types for eventual consistency of distributed replicated objects, they describe a system model in which replicas transmit their state ...
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46 views

Totally ordered multicast with Lamport timestamps

I'm studying Distributed Systems and synchronization and I didn't catch this solution of totally ordered multicast with Lamport timestamps. I read that it doesn't need ack to deliver a message to the ...
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Are the sets of executions of data-race free programs equal, when run on causal memory and on sequentially consistent memory respectively?

In the paper "Causal Memory: Definitions, Implementations, and Programming (Distributed Computing [DC] 1995)", the authors present a formal definition of causal memory, an abstraction of distributed ...
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265 views

Why is linearizability a safety property and why are safety properties closed sets?

In Chapter 13 "Atomic Objects" of the book "Distributed Algorithms" by Nancy Lynch, linearizability (also known as atomicity) is proved to be a safety property. That is to say, its corresponding trace ...
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What is the staleness in this execution of the $k$-atomic multi-writer register construction from $k$-atomic single-writer ones?

Background: $K$-atomicity is a consistency condition meaning that a read operation can return one of the values written by the last $k$ preceding writes in an order consistent with real time. It is a ...
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118 views

What is the advantage of designing deterministic distributed algorithms?

Distributed algorithms that are resilient to failures can either be deterministic or probabilistic. Take for example the consensus problem. Paxos is deterministic in the sense that given the ...
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1answer
48 views

2PC with URBcast

Two phase commitment can be used for distributed transaction commitment. But it is consider as a blocking protocol when we used it with a best effort broadcast (BEBcast). My first question is, can we ...
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38 views

Atomic snapshot algorithms on tree-structured shared registers

Background: Atomic snapshot memory is a shared memory partitioned into words written (updated) by individual processes, or instantaneously read (*scanned) in its entirety. The Gang of Six algorithm ...
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25 views

synchronization problem in complex networks

What is the time and communication complexity of synchronizing clocks on a random graph of N vertices, whose degrees are distributed according to a power-law?
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48 views

Should the Schedule of ``High-level Operations'' Respect the Linearizability of ``Low-level Operations'' in Proof of Simulation Algorithm?

Backgroud I am reading Chapter 10 ``Fault-Tolerant Simulations of Read/Write Objects'' of the Book Distributed Computing (by Hagit Attiya & Jennifer Welch). Specifically, in section 10.2.3, it ...
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1answer
290 views

Is This Scheduling Problem NP-Hard?

The scheduling problem (arising from distributed computing) is defined as a decision problem as follows: Instance: A trace is comprised of $n$ processes histories (denoted $p_0, p_1, \ldots, ...
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1answer
162 views

How to Define and Implement (Single-Writer) K-Atomic Snapshot Object?

I am trying to motivate, define, and implement $K$-atomic snapshot object. To this aim, I first give some basic definitions on atomic snapshot object and $K$-atomic object. Then, I will give my ...
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Termination of the Bellman-Ford algorithm in asynchronous distributed model

I'm looking for an algorithm to compute the BFS tree of a graph rooted in the leader processor $r$ in the asynchronous distributed model. The only requirement is $O(D)$ time complexity, where $D$ ...
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47 views

Randomized distributed algorithm references

I want to learn randomized distributed algorithm for problems like MIS, CDS and Coloring in radio networks. Please suggest some background material so that I can understand the analysis of these type ...
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1answer
69 views

bounds in centralized and distributed

If we know some lower bound of the solution of a problem in centralized setting, what can we say about the lower bound in a distributed setting?
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198 views

Is linearizability equivalent to consensus problem?

In the introduction of this paper Eventually Linearizable Shared Objects (PODC'10), the authors have presented the following statement without references: Linearizability, however, can be achieved ...
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145 views

Distributed file storage system - theoretical approaches

What are the main theoretical approaches to a distributed file storage system that allows files to be stored across a network of nodes, assuring their availability in case a node randomly loses ...
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145 views

Order of operations in 2 and 3 phase atomic commit protocols

I am currently reading through this http://research.microsoft.com/en-us/people/philbe/chapter7.pdf chapter about distributed recovery. The chapter focuses on 2 phase atomic commit (2PC) and 3 phase ...
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1answer
311 views

Is there a list of canonical problems in distributed systems?

Last week, I was reading again Leslie's Lamport's 1982 trasncript of a conference he gave about Solved Problems, Unsolved Problems and Non-Problems in Concurrency. The paper is easily readable, but ...
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1answer
178 views

Who said: “There is no central arbiter of truth in open distributed systems.”

Can anyone give me a reference to the origin of the statement "There is no central arbiter of truth in open distributed systems." Possibly it was Carl Hewitt in "The Challenge of Open Systems" Byte ...
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1answer
248 views

How to formally model the “hesitation” in the hat-guessing puzzle and prove it by mathematical induction?

The following question was first presented in MATHEMATICS of StackExchange. With a simple description at first sight, it has far-reaching consequences on plenty of recent and advanced theories, such ...
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Distributed algorithms on sets

Given a connected arbitrary network $G = (V,E)$, where $V$ is a set of nodes (processors) and $E$ is the set of edges between the nodes. Each node $v _i$ is assigned a non-empty set $S(v _i)$, where ...
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997 views

Why is the consensus problem so important in distributed computing?

In distributed computing, the consensus problem seems to be one of the central topics which has attracted intensive research. In particular, the paper "Impossibility of Distributed Consensus with One ...
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Does mathematical model for conccurent computations exist?

Turing machines can represent any computation. Can they also represent concurrent computations? Eg. multiple computations that can happen at the same time? If yes, how are the concurrent computations ...
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100 views

Lower bound for orienting an asynchronous ring?

We require a lower message complexity bound of an asynchronous distributed algorithm that do the following: Given a undirected ring, with $n$ vertices, we want to let each node direct its edges to ...
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Model checking Paxos

I have implemented consensus algorithm (based on Paxos). I have added some random test cases and it seems fine. To be sure, I want to do testing via model checking. I couldn't find a correct article ...
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Existence of “colouring matrices” — a generalisation

This is a generalisation of the following post: Existence of "colouring matrices". As the base case turned out to be fairly straightforward (in essence, precisely equal to the existence of Sperner ...
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Existence of “colouring matrices”

Edit: there is now a follow-up question related to this post. Definitions Let $c$ and $k$ be integers. We use the notation $[i] = \{1,2,...,i\}$. A $c \times c$ matrix $M = (m_{i,j})$ is said to ...
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345 views

Efficient synchronization of two instances of an ordered list

What data structure or algorithm can be used to efficiently synchronize two nearly identical ordered lists? Two offline systems start with the same ordered list and each edit, insert, delete and move ...
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1answer
139 views

Minimal bandwidth required to synchronize two sets of values

We consider two computers who possess two sets of fixed-size values (ie. $k$-bit numbers for some constant $k$), and we assume that the two sets have a large overlap (ie. a large proportion of the ...
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3answers
353 views

How to understand the “Availability” of the CAP theorem?

As we know, in the CAP theorem, "A" means "Availability". On wikipedia, the explanation of "Availability" is: Availability: a guarantee that every request receives a response about whether it ...
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1answer
159 views

FloodSet in general networks

I would like to ask how could someone modify FloodSet algorithm to work in a general network, where process failures happen..Is it possible for it to work if a "crucial" [1] failure happens? [1]: As ...
5
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1answer
113 views

Honest Majority unconditional coinflipping without private channels

All communication is assumed to be by the parties taking turns making authenticated broadcasts. Is there a way for $n$ parties, each with access to ideal local randomness, to jointly choose ...
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1answer
1k views

Major unsolved problems in distributed systems?

Inspired by this question, what are the major problems and existing solutions which needs improvement in (theoretical) distributed systems domain. Something like membership protocols, data ...
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1answer
193 views

Average message complexity for the election problem on graphs

I am currently studying the election problem in distributed algorithms. There, I stumpled over one approach to implement a Chang-Roberts-like message extinction algorithm on graphs without requiring a ...
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1answer
161 views

O(N) leader election on torus with orientation and non-positional identity

I'm really confused by this. Apparently there is a deterministic algorithm that does leader election on a torus with orientation and non-positional identity using only O(N) messages. I'm unable to ...
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3answers
474 views

Infinitely large but locally finite computation problems

This question is inspired by a comment Jukka Suomela made on another question. What are examples of infinitely large but locally finite computation problems (and algorithms)? In other words, ...
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1answer
539 views

Is there any proof that a network made of Turing machines can't solve the halting problem? [closed]

My question points to the fact that Turing machines are isolated by definition. But what if they can send and receive information from/to other Turing machines? What if they can be "interrupted" at ...
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1answer
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Regular high-girth graph with a “locally uniform” total order on nodes

Definitions Let $\epsilon > 0$ and let $d$, $r$, and $g$ be positive integers (with $g > 2r+1$). Let $G = (V,E)$ be a simple, $d$-regular, undirected, finite graph with girth at least $g$. Let ...
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1answer
179 views

How can you tell between what is a “distributed” system versus “grid” computing versus “cluster” computing? [closed]

These terms seem to get thrown around rather vaguely, in my opinion, and was wondering if there were some hard-lined facts about what accounts for which category in these fields. If there aren't any, ...
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371 views

Efficient DAG comparison over a network

In distributed version control systems (such a Mercurial and Git) there is a need to efficiently compare directed acyclic graphs (DAGs). I'm a Mercurial developer, and we would be very interested in ...
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1answer
337 views

What is “distributed computing” as a field of computer science?

I think it's field that studies distributed systems as described at http://en.wikipedia.org/wiki/Distributed_computing. There are distributed systems such as clusters and grids on top of this field. ...
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462 views

Decentralized algorithm for determining influential nodes in social networks

In this paper by Kempe-Kleinberg-Tardos, the Authors propose a greedy algorithms based on submodular functions to determine the $k$ most influential nodes in a graph, with applications to social ...
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1answer
132 views

How to check if an algorithm in a distributed system worked within restraints?

I want to design a system in which a program is sent along with data and then it answers with the result. Is redundancy a must in this situation to check for correctness of the processed data? What is ...
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On the Bakery Mutual exclusion Algorithm

Lamport's Bakery Algorithm is one of the most elegant algorithms for mutual exclusion. The beauty of it is that it works even when the underlying system only provides a weak form of registers called ...
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5answers
473 views

How is Real-Time Computing defined?

How is real-time computing defined in theoretical computer science (e.g. complexity theory)? Are there complexity theoretic models designed to capture the real-time computation?
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639 views

Distributed Turing Machine?

I'm a master student focused on distributed systems but also interested on theoretical computer science. I was wondering if there is a formal representation of a distributed system on top of a turing ...
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932 views

Current parallel models for computation

The 1980's gave rise to both the PRAM and the BSP models of parallel computation. It seems that both model's heyday were during the late 80s and early 90s. Are these areas still active in terms of ...
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1answer
631 views

Estimating a percentile among distributed nodes without revealing values

I have a fairly unique problem to solve and I am hoping somebody here can give me some insight into how to best tackle it. Problem: Suppose a list of N numbers is shared among a set of participants ...
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Fair and “robust” fallback permutations

The following is a fun problem we stumbled into today. We have work we wish to distribute on machines $1..n$. Each piece of work is given a list of machines to try, in order. If any machine fails, ...