License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2023.38
URN: urn:nbn:de:0030-drops-190320
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Dal Lago, Ugo ; Murgia, Maurizio

Contextual Behavioural Metrics

LIPIcs-CONCUR-2023-38.pdf (1 MB)


We introduce contextual behavioural metrics (CBMs) as a novel way of measuring the discrepancy in behaviour between processes, taking into account both quantitative aspects and contextual information. This way, process distances by construction take the environment into account: two (non-equivalent) processes may still exhibit very similar behaviour in some contexts, e.g., when certain actions are never performed. We first show how CBMs capture many well-known notions of equivalence and metric, including Larsen’s environmental parametrized bisimulation. We then study compositional properties of CBMs with respect to some common process algebraic operators, namely prefixing, restriction, non-deterministic sum, parallel composition and replication.

BibTeX - Entry

  author =	{Dal Lago, Ugo and Murgia, Maurizio},
  title =	{{Contextual Behavioural Metrics}},
  booktitle =	{34th International Conference on Concurrency Theory (CONCUR 2023)},
  pages =	{38:1--38:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-299-0},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{279},
  editor =	{P\'{e}rez, Guillermo A. and Raskin, Jean-Fran\c{c}ois},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-190320},
  doi =		{10.4230/LIPIcs.CONCUR.2023.38},
  annote =	{Keywords: Behavioural metrics, Labelled Transition Systems, Differential Semantics}

Keywords: Behavioural metrics, Labelled Transition Systems, Differential Semantics
Collection: 34th International Conference on Concurrency Theory (CONCUR 2023)
Issue Date: 2023
Date of publication: 07.09.2023

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