License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.OPODIS.2017.29
URN: urn:nbn:de:0030-drops-86387
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2018/8638/
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Shimi, Adam ; Hurault, Aurélie ; Quéinnec, Philippe

Asynchronous Message Orderings Beyond Causality

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LIPIcs-OPODIS-2017-29.pdf (0.5 MB)

Abstract

In the asynchronous setting, distributed behavior is traditionally studied through computa- tions, the Happened-Before posets of events generated by the system. An equivalent perspective considers the linear extensions of the generated computations: each linear extension defines a sequence of events, called an execution. Both perspective were leveraged in the study of asyn- chronous point-to-point message orderings over computations; yet neither allows us to interpret message orderings defined over executions. Can we nevertheless make sense of such an ordering, maybe even use it to understand asynchronicity better?
We provide a general answer by defining a topology on the set of executions which captures the fundamental assumptions of asynchronicity. This topology links each message ordering over executions with two sets of computations: its closure, the computations for which at least one linear extension satisfies the predicate; and its interior, the computations for which all linear ex- tensions satisfy it. These sets of computations represent respectively the uncertainty brought by asynchronicity – the computations where the predicate is satisfiable – and the certainty available despite asynchronicity – the computations where the predicate must hold. The paper demon- strates the use of this topological approach by examining closures and interiors of interesting orderings over executions.

BibTeX - Entry

@InProceedings{shimi_et_al:LIPIcs:2018:8638,
  author =	{Adam Shimi and Aur{\'e}lie Hurault and Philippe Qu{\'e}innec},
  title =	{{Asynchronous Message Orderings Beyond Causality}},
  booktitle =	{21st International Conference on Principles of Distributed Systems (OPODIS 2017)},
  pages =	{29:1--29:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-061-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{95},
  editor =	{James Aspnes and Alysson Bessani and Pascal Felber and Jo{\~a}o Leit{\~a}o},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/8638},
  URN =		{urn:nbn:de:0030-drops-86387},
  doi =		{10.4230/LIPIcs.OPODIS.2017.29},
  annote =	{Keywords: Asynchronous computations, Point-to-point message orderings, Causality, Topology, Interior, Closure}
}

Keywords: Asynchronous computations, Point-to-point message orderings, Causality, Topology, Interior, Closure
Collection: 21st International Conference on Principles of Distributed Systems (OPODIS 2017)
Issue Date: 2018
Date of publication: 28.03.2018

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