# A Game for Linear-time–Branching-time Spectroscopy

@article{Bisping2021AGF,
title={A Game for Linear-time–Branching-time Spectroscopy},
author={Benjamin Bisping and Uwe Nestmann},
journal={Tools and Algorithms for the Construction and Analysis of Systems},
year={2021},
volume={12651},
pages={3 - 19}
}
• Published 1 March 2021
• Mathematics
• Tools and Algorithms for the Construction and Analysis of Systems
We introduce a generalization of the bisimulation game that can be employed to find all relevant distinguishing Hennessy–Milner logic formulas for two compared finite-state processes. By measuring the use of expressive powers, we adapt the formula generation to just yield formulas belonging to the coarsest distinguishing behavioral preorders/equivalences from the linear-time–branching-time spectrum. The induced algorithm can determine the best fit of (in)equivalences for a pair of processes.
• Computer Science
EXPRESS/SOS
• 2021
The first game characterization of the contrasimulation preorder is given and it is proved its correctness to be the last puzzle piece to have game characterizations for the whole linear-time–branching-time spectrum with internal steps.
All common notions of behavioral equivalence are characterized by one 6-dimensional energy game, where energies bound capabilities of an attacker trying to tell processes apart are defined.

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The first game characterization of the contrasimulation preorder is given and it is proved its correctness to be the last puzzle piece to have game characterizations for the whole linear-time–branching-time spectrum with internal steps.
In this paper various semantics in the linear time { branching time spectrum are presented in a uniform, model-independent way and the classiication of some useful process semantics can be facilitated by drawing parts of this lattice and locating the positions of some interesting process semantics, found in the literature.
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