# 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} }

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.

## 2 Citations

### A Game Characterization for Contrasimilarity

- Computer ScienceEXPRESS/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.

### Process Equivalence Problems as Energy Games

- Computer Science
- 2023

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.

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