Filippo Bonchi ; Ana Sokolova ; Valeria Vignudelli - The Theory of Traces for Systems with Nondeterminism, Probability, and Termination

lmcs:6261 - Logical Methods in Computer Science, June 17, 2022, Volume 18, Issue 2 - https://doi.org/10.46298/lmcs-18(2:21)2022
The Theory of Traces for Systems with Nondeterminism, Probability, and Termination

Authors: Filippo Bonchi ; Ana Sokolova ; Valeria Vignudelli

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.


Volume: Volume 18, Issue 2
Published on: June 17, 2022
Accepted on: December 3, 2021
Submitted on: April 2, 2020
Keywords: Computer Science - Logic in Computer Science


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