Deciding All Behavioral Equivalences at Once: A Game for Linear-Time--Branching-Time Spectroscopy

We introduce a generalization of the bisimulation game that finds distinguishing Hennessy-Milner logic formulas from every finitary, subformula-closed language in van Glabbeek's linear-time--branching-time spectrum between two finite-state processes. We identify the relevant dimensions that mea...

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Bibliographic Details
Published in:	Logical methods in computer science Vol. 18, Issue 3
Main Authors:	Bisping, Benjamin, Jansen, David N., Nestmann, Uwe
Format:	Journal Article
Language:	English
Published:	Logical Methods in Computer Science e.V 09.08.2022
Subjects:	computer science - computer science and game theory computer science - formal languages and automata theory computer science - logic in computer science f.2.2 f.4.1
ISSN:	1860-5974, 1860-5974
Online Access:	Get full text
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Summary:	We introduce a generalization of the bisimulation game that finds distinguishing Hennessy-Milner logic formulas from every finitary, subformula-closed language in van Glabbeek's linear-time--branching-time spectrum between two finite-state processes. We identify the relevant dimensions that measure expressive power to yield formulas belonging to the coarsest distinguishing behavioral preorders and equivalences; the compared processes are equivalent in each coarser behavioral equivalence from the spectrum. We prove that the induced algorithm can determine the best fit of (in)equivalences for a pair of processes.
ISSN:	1860-5974 1860-5974
DOI:	10.46298/lmcs-18(3:19)2022