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Documents authored by Rieutord, Thibault

Document
DOI: 10.4230/OASIcs.FAB.2022.5
Fork Accountability in Tenderbake

Authors: Antonella Del Pozzo and Thibault Rieutord

Published in: OASIcs, Volume 101, 5th International Symposium on Foundations and Applications of Blockchain 2022 (FAB 2022)

Abstract
This work investigates the Fork Accountability problem in the BFT-Consensus-based Blockchain context. When there are more attackers than the tolerated ones, BFT-Consensus may fail in delivering safety. When this occurs, Fork Accountability aims to account for the responsible processes for that safety violation. As a case study, we consider Tenderbake when the assumption on the maximum number of Byzantine validators - participants involved in creating the next block - does not hold anymore. When a fork occurs, there are more than one-third of Byzantine validators, and we aim to account for the responsible validators to remove them from the system. In this work, we compare three different approaches to implementing accountability in the case of a fork. In particular, we show that in the case of a fork, if we do not modify Tenderbake or we enrich it with a reliable broadcast communication abstraction, then we can account Byzantine processes only in particular scenarios. Contrarily, if we change Tenderbake such that the exchanged messages also carry extra information (which size is proportional to the duration of the current consensus computation), then we can account for Byzantine processes in all kinds of scenarios; however, at the cost of unbounded message size and unbounded local memory.
Cite as

Antonella Del Pozzo and Thibault Rieutord. Fork Accountability in Tenderbake. In 5th International Symposium on Foundations and Applications of Blockchain 2022 (FAB 2022). Open Access Series in Informatics (OASIcs), Volume 101, pp. 5:1-5:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{delpozzo_et_al:OASIcs.FAB.2022.5,
  author =	{Del Pozzo, Antonella and Rieutord, Thibault},
  title =	{{Fork Accountability in Tenderbake}},
  booktitle =	{5th International Symposium on Foundations and Applications of Blockchain 2022 (FAB 2022)},
  pages =	{5:1--5:22},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-248-8},
  ISSN =	{2190-6807},
  year =	{2022},
  volume =	{101},
  editor =	{Tucci-Piergiovanni, Sara and Crooks, Natacha},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.FAB.2022.5},
  URN =		{urn:nbn:de:0030-drops-162723},
  doi =		{10.4230/OASIcs.FAB.2022.5},
  annote =	{Keywords: Blockchain, BFT-Consensus, Fork Accountability}
}
Document
DOI: 10.4230/LIPIcs.OPODIS.2021.6
On Finality in Blockchains

Authors: Emmanuelle Anceaume, Antonella Del Pozzo, Thibault Rieutord, and Sara Tucci-Piergiovanni

Published in: LIPIcs, Volume 217, 25th International Conference on Principles of Distributed Systems (OPODIS 2021)

Abstract
This paper focuses on blockchain finality, which refers to the time when it becomes impossible to remove a block that has previously been appended to the blockchain. Blockchain finality can be deterministic or probabilistic, immediate or eventual. To favor availability against consistency in the face of partitions, most blockchains only offer probabilistic eventual finality: blocks may be revoked after being appended to the blockchain, yet with decreasing probability as they sink deeper into the chain. Other blockchains favor consistency by leveraging the immediate finality of Consensus - a block appended is never revoked - at the cost of additional synchronization. The quest for "good" deterministic finality properties for blockchains is still in its infancy, though. Our motivation is to provide a thorough study of several possible deterministic finality properties and explore their solvability. This is achieved by introducing the notion of bounded revocation, which informally says that the number of blocks that can be revoked from the current blockchain is bounded. Based on the requirements we impose on this revocation number, we provide reductions between different forms of eventual finality, Consensus and Eventual Consensus. From these reductions, we show some related impossibility results in presence of Byzantine processes, and provide non-trivial results. In particular, we provide an algorithm that solves a weak form of eventual finality in an asynchronous system in presence of an unbounded number of Byzantine processes. We also provide an algorithm that solves eventual finality with a bounded revocation number in an eventually synchronous environment in presence of less than half of Byzantine processes. The simplicity of the arguments should better guide blockchain designs and link them to clear formal properties of finality.
Cite as

Emmanuelle Anceaume, Antonella Del Pozzo, Thibault Rieutord, and Sara Tucci-Piergiovanni. On Finality in Blockchains. In 25th International Conference on Principles of Distributed Systems (OPODIS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 217, pp. 6:1-6:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{anceaume_et_al:LIPIcs.OPODIS.2021.6,
  author =	{Anceaume, Emmanuelle and Del Pozzo, Antonella and Rieutord, Thibault and Tucci-Piergiovanni, Sara},
  title =	{{On Finality in Blockchains}},
  booktitle =	{25th International Conference on Principles of Distributed Systems (OPODIS 2021)},
  pages =	{6:1--6:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-219-8},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{217},
  editor =	{Bramas, Quentin and Gramoli, Vincent and Milani, Alessia},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2021.6},
  URN =		{urn:nbn:de:0030-drops-157810},
  doi =		{10.4230/LIPIcs.OPODIS.2021.6},
  annote =	{Keywords: Blockchain, consistency properties, Byzantine tolerant implementations}
}
Document
DOI: 10.4230/LIPIcs.OPODIS.2021.25
Accountability and Reconfiguration: Self-Healing Lattice Agreement

Authors: Luciano Freitas de Souza, Petr Kuznetsov, Thibault Rieutord, and Sara Tucci-Piergiovanni

Published in: LIPIcs, Volume 217, 25th International Conference on Principles of Distributed Systems (OPODIS 2021)

Abstract
An accountable distributed system provides means to detect deviations of system components from their expected behavior. It is natural to complement fault detection with a reconfiguration mechanism, so that the system could heal itself, by replacing malfunctioning parts with new ones. In this paper, we describe a framework that can be used to implement a large class of accountable and reconfigurable replicated services. We build atop the fundamental lattice agreement abstraction lying at the core of storage systems and cryptocurrencies. Our asynchronous implementation of accountable lattice agreement ensures that every violation of consistency is followed by an undeniable evidence of misbehavior of a faulty replica. The system can then be seamlessly reconfigured by evicting faulty replicas, adding new ones and merging inconsistent states. We believe that this paper opens a direction towards asynchronous "self-healing" systems that combine accountability and reconfiguration.
Cite as

Luciano Freitas de Souza, Petr Kuznetsov, Thibault Rieutord, and Sara Tucci-Piergiovanni. Accountability and Reconfiguration: Self-Healing Lattice Agreement. In 25th International Conference on Principles of Distributed Systems (OPODIS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 217, pp. 25:1-25:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{freitasdesouza_et_al:LIPIcs.OPODIS.2021.25,
  author =	{Freitas de Souza, Luciano and Kuznetsov, Petr and Rieutord, Thibault and Tucci-Piergiovanni, Sara},
  title =	{{Accountability and Reconfiguration: Self-Healing Lattice Agreement}},
  booktitle =	{25th International Conference on Principles of Distributed Systems (OPODIS 2021)},
  pages =	{25:1--25:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-219-8},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{217},
  editor =	{Bramas, Quentin and Gramoli, Vincent and Milani, Alessia},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2021.25},
  URN =		{urn:nbn:de:0030-drops-158007},
  doi =		{10.4230/LIPIcs.OPODIS.2021.25},
  annote =	{Keywords: Reconfiguration, accountability, asynchronous, lattice agreement}
}
Document
Brief Announcement
DOI: 10.4230/LIPIcs.DISC.2021.54
Brief Announcement: Accountability and Reconfiguration — Self-Healing Lattice Agreement

Authors: Luciano Freitas de Souza, Petr Kuznetsov, Thibault Rieutord, and Sara Tucci-Piergiovanni

Published in: LIPIcs, Volume 209, 35th International Symposium on Distributed Computing (DISC 2021)

Abstract
An accountable distributed system provides means to detect deviations of system components from their expected behavior. It is natural to complement fault detection with a reconfiguration mechanism, so that the system could heal itself, by replacing malfunctioning parts with new ones. In this paper, we describe a framework that can be used to implement a large class of accountable and reconfigurable replicated services. We build atop the fundamental lattice agreement abstraction lying at the core of storage systems and cryptocurrencies. Our asynchronous implementation of accountable lattice agreement ensures that every violation of consistency is followed by an undeniable evidence of misbehavior of a faulty replica. The system can then be seamlessly reconfigured by evicting faulty replicas, adding new ones and merging inconsistent states. We believe that this paper opens a direction towards asynchronous "self-healing" systems that combine accountability and reconfiguration.
Cite as

Luciano Freitas de Souza, Petr Kuznetsov, Thibault Rieutord, and Sara Tucci-Piergiovanni. Brief Announcement: Accountability and Reconfiguration — Self-Healing Lattice Agreement. In 35th International Symposium on Distributed Computing (DISC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 209, pp. 54:1-54:5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{desouza_et_al:LIPIcs.DISC.2021.54,
  author =	{de Souza, Luciano Freitas and Kuznetsov, Petr and Rieutord, Thibault and Tucci-Piergiovanni, Sara},
  title =	{{Brief Announcement: Accountability and Reconfiguration — Self-Healing Lattice Agreement}},
  booktitle =	{35th International Symposium on Distributed Computing (DISC 2021)},
  pages =	{54:1--54:5},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-210-5},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{209},
  editor =	{Gilbert, Seth},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2021.54},
  URN =		{urn:nbn:de:0030-drops-148565},
  doi =		{10.4230/LIPIcs.DISC.2021.54},
  annote =	{Keywords: Reconfiguration, accountability, asynchronous, lattice agreement}
}
Document
DOI: 10.4230/OASIcs.FAB.2021.1
Tenderbake - A Solution to Dynamic Repeated Consensus for Blockchains

Authors: Lăcrămioara Aştefănoaei, Pierre Chambart, Antonella Del Pozzo, Thibault Rieutord, Sara Tucci-Piergiovanni, and Eugen Zălinescu

Published in: OASIcs, Volume 92, 4th International Symposium on Foundations and Applications of Blockchain 2021 (FAB 2021)

Abstract
First-generation blockchains provide probabilistic finality: a block can be revoked, albeit the probability decreases as the block "sinks" deeper into the chain. Recent proposals revisited committee-based BFT consensus to provide deterministic finality: as soon as a block is validated, it is never revoked. A distinguishing characteristic of these second-generation blockchains over classical BFT protocols is that committees change over time as the participation and the blockchain state evolve. In this paper, we push forward in this direction by proposing a formalization of the Dynamic Repeated Consensus problem and by providing generic procedures to solve it in the context of blockchains. Our approach is modular in that one can plug in different synchronizers and single-shot consensus. To offer a complete solution, we provide a concrete instantiation, called {{Tenderbake}}, and present a blockchain synchronizer and a single-shot consensus algorithm, working in a Byzantine and partially synchronous system model with eventually synchronous clocks. In contrast to recent proposals, our methodology is driven by the need to bound the message buffers. This is essential in preventing spamming and run-time memory errors. Moreover, {{Tenderbake}} processes can synchronize with each other without exchanging messages, leveraging instead the information stored in the blockchain.
Cite as

Lăcrămioara Aştefănoaei, Pierre Chambart, Antonella Del Pozzo, Thibault Rieutord, Sara Tucci-Piergiovanni, and Eugen Zălinescu. Tenderbake - A Solution to Dynamic Repeated Consensus for Blockchains. In 4th International Symposium on Foundations and Applications of Blockchain 2021 (FAB 2021). Open Access Series in Informatics (OASIcs), Volume 92, pp. 1:1-1:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{astefanoaei_et_al:OASIcs.FAB.2021.1,
  author =	{A\c{s}tef\u{a}noaei, L\u{a}cr\u{a}mioara and Chambart, Pierre and Del Pozzo, Antonella and Rieutord, Thibault and Tucci-Piergiovanni, Sara and Z\u{a}linescu, Eugen},
  title =	{{Tenderbake - A Solution to Dynamic Repeated Consensus for Blockchains}},
  booktitle =	{4th International Symposium on Foundations and Applications of Blockchain 2021 (FAB 2021)},
  pages =	{1:1--1:23},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-196-2},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{92},
  editor =	{Gramoli, Vincent and Sadoghi, Mohammad},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.FAB.2021.1},
  URN =		{urn:nbn:de:0030-drops-139877},
  doi =		{10.4230/OASIcs.FAB.2021.1},
  annote =	{Keywords: Blockchain, BFT-Consensus, Dynamic Repeated Consensus}
}
Document
Brief Announcement
DOI: 10.4230/LIPIcs.DISC.2020.54
Brief Announcement: On Decidability of 2-Process Affine Models

Authors: Petr Kuznetsov and Thibault Rieutord

Published in: LIPIcs, Volume 179, 34th International Symposium on Distributed Computing (DISC 2020)

Abstract
Affine models of computation, defined as subsets of iterated immediate-snapshot runs, capture a wide variety of shared-memory systems: wait-freedom, t-resilience, k-concurrency, and fair shared-memory adversaries. The question of whether a given task is solvable in a given affine model is, in general, undecidable. In this paper, we focus on affine models defined for a system of two processes. We show that task computability of 2-process affine models is decidable and presents a complete hierarchy of five equivalence classes of 2-process affine models.
Cite as

Petr Kuznetsov and Thibault Rieutord. Brief Announcement: On Decidability of 2-Process Affine Models. In 34th International Symposium on Distributed Computing (DISC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 179, pp. 54:1-54:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{kuznetsov_et_al:LIPIcs.DISC.2020.54,
  author =	{Kuznetsov, Petr and Rieutord, Thibault},
  title =	{{Brief Announcement: On Decidability of 2-Process Affine Models}},
  booktitle =	{34th International Symposium on Distributed Computing (DISC 2020)},
  pages =	{54:1--54:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-168-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{179},
  editor =	{Attiya, Hagit},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2020.54},
  URN =		{urn:nbn:de:0030-drops-131328},
  doi =		{10.4230/LIPIcs.DISC.2020.54},
  annote =	{Keywords: Affine tasks, Decidability}
}
Document
DOI: 10.4230/LIPIcs.OPODIS.2019.31
Reconfigurable Lattice Agreement and Applications

Authors: Petr Kuznetsov, Thibault Rieutord, and Sara Tucci-Piergiovanni

Published in: LIPIcs, Volume 153, 23rd International Conference on Principles of Distributed Systems (OPODIS 2019)

Abstract
Reconfiguration is one of the central mechanisms in distributed systems. Due to failures and connectivity disruptions, the very set of service replicas (or servers) and their roles in the computation may have to be reconfigured over time. To provide the desired level of consistency and availability to applications running on top of these servers, the clients of the service should be able to reach some form of agreement on the system configuration. We observe that this agreement is naturally captured via a lattice partial order on the system states. We propose an asynchronous implementation of reconfigurable lattice agreement that implies elegant reconfigurable versions of a large class of lattice abstract data types, such as max-registers and conflict detectors, as well as popular distributed programming abstractions, such as atomic snapshot and commit-adopt.
Cite as

Petr Kuznetsov, Thibault Rieutord, and Sara Tucci-Piergiovanni. Reconfigurable Lattice Agreement and Applications. In 23rd International Conference on Principles of Distributed Systems (OPODIS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 153, pp. 31:1-31:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{kuznetsov_et_al:LIPIcs.OPODIS.2019.31,
  author =	{Kuznetsov, Petr and Rieutord, Thibault and Tucci-Piergiovanni, Sara},
  title =	{{Reconfigurable Lattice Agreement and Applications}},
  booktitle =	{23rd International Conference on Principles of Distributed Systems (OPODIS 2019)},
  pages =	{31:1--31:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-133-7},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{153},
  editor =	{Felber, Pascal and Friedman, Roy and Gilbert, Seth and Miller, Avery},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2019.31},
  URN =		{urn:nbn:de:0030-drops-118177},
  doi =		{10.4230/LIPIcs.OPODIS.2019.31},
  annote =	{Keywords: Reconfigurable services, lattice agreement}
}
Document
DOI: 10.4230/LIPIcs.OPODIS.2017.9
Progress-Space Tradeoffs in Single-Writer Memory Implementations

Authors: Damien Imbs, Petr Kuznetsov, and Thibault Rieutord

Published in: LIPIcs, Volume 95, 21st International Conference on Principles of Distributed Systems (OPODIS 2017)

Abstract
Many algorithms designed for shared-memory distributed systems assume the single-writer multi- reader (SWMR) setting where each process is provided with a unique register that can only be written by the process and read by all. In a system where computation is performed by a bounded number n of processes coming from a large (possibly unbounded) set of potential participants, the assumption of an SWMR memory is no longer reasonable. If only a bounded number of multi- writer multi-reader (MWMR) registers are provided, we cannot rely on an a priori assignment of processes to registers. In this setting, implementing an SWMR memory, or equivalently, ensuring stable writes (i.e., every written value persists in the memory), is desirable. In this paper, we propose an SWMR implementation that adapts the number of MWMR registers used to the desired progress condition. For any given k from 1 to n, we present an algorithm that uses n + k − 1 registers to implement a k-lock-free SWMR memory. In the special case of 2-lock-freedom, we also give a matching lower bound of n + 1 registers, which supports our conjecture that the algorithm is space-optimal. Our lower bound holds for the strictly weaker progress condition of 2-obstruction-freedom, which suggests that the space complexity for k-obstruction-free and k-lock-free SWMR implementations might coincide.
Cite as

Damien Imbs, Petr Kuznetsov, and Thibault Rieutord. Progress-Space Tradeoffs in Single-Writer Memory Implementations. In 21st International Conference on Principles of Distributed Systems (OPODIS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 95, pp. 9:1-9:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{imbs_et_al:LIPIcs.OPODIS.2017.9,
  author =	{Imbs, Damien and Kuznetsov, Petr and Rieutord, Thibault},
  title =	{{Progress-Space Tradeoffs in Single-Writer Memory Implementations}},
  booktitle =	{21st International Conference on Principles of Distributed Systems (OPODIS 2017)},
  pages =	{9:1--9:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-061-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{95},
  editor =	{Aspnes, James and Bessani, Alysson and Felber, Pascal and Leit\~{a}o, Jo\~{a}o},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2017.9},
  URN =		{urn:nbn:de:0030-drops-86290},
  doi =		{10.4230/LIPIcs.OPODIS.2017.9},
  annote =	{Keywords: Single-writer memory implementation, comparison-based algorithms, space complexity, progress conditions}
}
Document
Brief Announcement
DOI: 10.4230/LIPIcs.DISC.2017.56
Brief Announcement: Compact Topology of Shared-Memory Adversaries

Authors: Petr Kuznetsov, Thibault Rieutord, and Yuan He

Published in: LIPIcs, Volume 91, 31st International Symposium on Distributed Computing (DISC 2017)

Abstract
The paper proposes a simple topological characterization of a large class of adversarial distributed-computing models via affine tasks: sub-complexes of the second iteration of the standard chromatic subdivision. We show that the task computability of a model in the class is precisely captured by iterations of the corresponding affine task. While an adversary is in general defined as a non-compact set of infinite runs, its affine task is just a finite subset of runs of the 2-round iterated immediate snapshot (IIS) model. Our results generalize and improve all previously derived topological characterizations of distributed-computing models.
Cite as

Petr Kuznetsov, Thibault Rieutord, and Yuan He. Brief Announcement: Compact Topology of Shared-Memory Adversaries. In 31st International Symposium on Distributed Computing (DISC 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 91, pp. 56:1-56:4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{kuznetsov_et_al:LIPIcs.DISC.2017.56,
  author =	{Kuznetsov, Petr and Rieutord, Thibault and He, Yuan},
  title =	{{Brief Announcement: Compact Topology of Shared-Memory Adversaries}},
  booktitle =	{31st International Symposium on Distributed Computing (DISC 2017)},
  pages =	{56:1--56:4},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-053-8},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{91},
  editor =	{Richa, Andr\'{e}a},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2017.56},
  URN =		{urn:nbn:de:0030-drops-80108},
  doi =		{10.4230/LIPIcs.DISC.2017.56},
  annote =	{Keywords: Adversarial models, Affine tasks, Topological characterization}
}
Document
DOI: 10.4230/LIPIcs.OPODIS.2016.6
Read-Write Memory and k-Set Consensus as an Affine Task

Authors: Eli Gafni, Yuan He, Petr Kuznetsov, and Thibault Rieutord

Published in: LIPIcs, Volume 70, 20th International Conference on Principles of Distributed Systems (OPODIS 2016)

Abstract
The wait-free read-write memory model has been characterized as an iterated Immediate Snapshot (IS) task. The IS task is affine — it can be defined as a (sub)set of simplices of the standard chromatic subdivision. In this paper, we highlight the phenomenon of a "natural" model that can be captured by an iterated affine task and, thus, by a subset of runs of the iterated immediate snapshot model. We show that the read-write memory model in which, additionally, k-set-consensus objects can be used is "natural" by presenting the corresponding simple affine task captured by a subset of 2-round IS runs. As an "unnatural" example, the model using the abstraction of Weak Symmetry Breaking (WSB) cannot be captured by a set of IS runs and, thus, cannot be represented as an affine task. Our results imply the first combinatorial characterization of models equipped with abstractions other than read-write memory that applies to generic tasks.
Cite as

Eli Gafni, Yuan He, Petr Kuznetsov, and Thibault Rieutord. Read-Write Memory and k-Set Consensus as an Affine Task. In 20th International Conference on Principles of Distributed Systems (OPODIS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 70, pp. 6:1-6:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{gafni_et_al:LIPIcs.OPODIS.2016.6,
  author =	{Gafni, Eli and He, Yuan and Kuznetsov, Petr and Rieutord, Thibault},
  title =	{{Read-Write Memory and k-Set Consensus as an Affine Task}},
  booktitle =	{20th International Conference on Principles of Distributed Systems (OPODIS 2016)},
  pages =	{6:1--6:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-031-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{70},
  editor =	{Fatourou, Panagiota and Jim\'{e}nez, Ernesto and Pedone, Fernando},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2016.6},
  URN =		{urn:nbn:de:0030-drops-70759},
  doi =		{10.4230/LIPIcs.OPODIS.2016.6},
  annote =	{Keywords: iterated affine tasks, k-set consensus, k-concurrency, simplicial complexes, immediate snapshot}
}
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