2026-07-22T00:15:26Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:19009 2024-03-06T11:03:16Z ddc:004 open_access

Probabilistic Operational Correspondence Schmitt, Anna Peters, Kirstin Probabilistic Process Calculi Encodings Operational Correspondence Encodings are the main way to compare process calculi. By applying quality criteria to encodings we analyse their quality and rule out trivial or meaningless encodings. Thereby, operational correspondence is one of the most common and most important quality criteria. It ensures that processes and their translations have the same abstract behaviour. We analyse probabilistic versions of operational correspondence to enable such a verification for probabilistic systems. Concretely, we present three versions of probabilistic operational correspondence: weak, middle, and strong. We show the relevance of the weaker version using an encoding from a sublanguage of probabilistic CCS into the probabilistic π-calculus. Moreover, we map this version of probabilistic operational correspondence onto a probabilistic behavioural relation that directly relates source and target terms. Then we can analyse the quality of the criterion by analysing the relation it induces between a source term and its translation. For the second version of probabilistic operational correspondence we proceed in the opposite direction. We start with a standard simulation relation for probabilistic systems and map it onto a probabilistic operational correspondence criterion. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Anna Schmitt and Kirstin Peters 2023 Is Part Of LIPIcs, Volume 279, 34th International Conference on Concurrency Theory (CONCUR 2023) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CONCUR.2023.15 urn:nbn:de:0030-drops-190090 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2023.15 eng https://creativecommons.org/licenses/by/4.0/legalcode