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Weak MSO with the Unbounding Quantifier

Author Mikolaj Bojanczyk



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LIPIcs.STACS.2009.1834.pdf
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Mikolaj Bojanczyk

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Mikolaj Bojanczyk. Weak MSO with the Unbounding Quantifier. In 26th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 3, pp. 159-170, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2009)
https://doi.org/10.4230/LIPIcs.STACS.2009.1834

Abstract

A new class of languages of infinite words is introduced, called the \emph{max-regular languages}, extending the class of $\omega$-regular languages. The class has two equivalent descriptions: in terms of automata (a type of deterministic counter automaton), and in terms of logic (weak monadic second-order logic with a bounding quantifier). Effective translations between the logic and automata are given.
Keywords
  • Automata
  • Monadic second-order logic

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