The Theory of Traces for Systems with Nondeterminism, Probability, and Termination

Autor: Filippo Bonchi, Ana Sokolova, Valeria Vignudelli
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Logical Methods in Computer Science, Vol Volume 18, Issue 2 (2022)
Druh dokumentu: article
ISSN: 1860-5974
DOI: 10.46298/lmcs-18(2:21)2022
Popis: This paper studies trace-based equivalences for systems combining nondeterministic and probabilistic choices. We show how trace semantics for such processes can be recovered by instantiating a coalgebraic construction known as the generalised powerset construction. We characterise and compare the resulting semantics to known definitions of trace equivalences appearing in the literature. Most of our results are based on the exciting interplay between monads and their presentations via algebraic theories.
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