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Parity Automata for Quantitative Linear Time Logics

Authors Corina Cirstea, Shunsuke Shimizu, Ichiro Hasuo

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Corina Cirstea
Shunsuke Shimizu
Ichiro Hasuo

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Corina Cirstea, Shunsuke Shimizu, and Ichiro Hasuo. Parity Automata for Quantitative Linear Time Logics. In 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 72, pp. 7:1-7:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017) https://doi.org/10.4230/LIPIcs.CALCO.2017.7

Abstract

We initiate a study of automata-based model checking for previously proposed quantitative linear time logics interpreted over coalgebras. Our results include: (i) an automata-theoretic characterisation of the semantics of these logics, based on a notion of extent of a quantitative parity automaton, (ii) a study of the expressive power of Buchi variants of such automata, with implications on the expressiveness of fragments of the logics considered, and (iii) a naive algorithm for computing extents, under additional assumptions on the domain of truth values.

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Keywords
  • coalgebra
  • quantitative logic
  • linear time logic
  • parity automaton

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