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Contextual Behavioural Metrics

Authors Ugo Dal Lago , Maurizio Murgia

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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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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.

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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

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.

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