# Creating Büchi Automata for Multi-valued Model Checking

Abstract : In explicit state model checking of linear temporal logic properties, a Büchi automaton encodes a temporal property. It interleaves with a Kripke model to form a state space, which is searched for counterexamples. Multi-valued model checking considers additional truth values beyond the Boolean $true$ and $false$; these values add extra information to the model, e.g. for the purpose of abstraction or execution steering. This paper presents a method to create Büchi automata for multi-valued model checking using quasi-Boolean logics. It allows for multi-valued propositions as well as multi-valued transitions. A logic for the purpose of execution steering and abstraction is presented as an application.
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https://hal.inria.fr/hal-01658422
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Submitted on : Thursday, December 7, 2017 - 3:49:05 PM
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### Citation

Stefan Vijzelaar, Wan Fokkink. Creating Büchi Automata for Multi-valued Model Checking. 37th International Conference on Formal Techniques for Distributed Objects, Components, and Systems (FORTE), Jun 2017, Neuchâtel, Switzerland. pp.210-224, ⟨10.1007/978-3-319-60225-7_15⟩. ⟨hal-01658422⟩

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