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Contextual Behavioural Metrics

Authors Ugo Dal Lago , Maurizio Murgia

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LIPIcs.CONCUR.2023.38.pdf
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Author Details

Ugo Dal Lago
  • University of Bologna, Italy
  • INRIA Sophia Antipolis, France
Maurizio Murgia
  • Gran Sasso Science Institute, L'Aquila, Italy

Funding

The first author is supported by the ERC CoG "DIAPASoN", GA 818616, and by PNRR - M4C2 - I1.4 Project CN00000013 "National Centre for HPC, Big Data and Quantum Computing". The second author is supported by MUR project PON REACT EU DM 1062/21.

Acknowledgements

We thank the anonymous reviewers for their feedback.

Cite As Get BibTex

Ugo Dal Lago and Maurizio Murgia. Contextual Behavioural Metrics. In 34th International Conference on Concurrency Theory (CONCUR 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 279, pp. 38:1-38:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.CONCUR.2023.38

Abstract

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.

Subject Classification

ACM Subject Classification
  • Theory of computation → Program reasoning
  • Theory of computation → Process calculi
Keywords
  • Behavioural metrics
  • Labelled Transition Systems
  • Differential Semantics

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