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arXiv · 2109.15295

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

Benjamin Bisping·David N. Jansen·Uwe Nestmann
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Abstract

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.

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Benjamin Bisping, David N. Jansen, Uwe Nestmann. 2021-09-30. Deciding All Behavioral Equivalences at Once: A Game for Linear-Time--Branching-Time Spectroscopy. https://doi.org/10.46298/lmcs-18(3%3A19)2022

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