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On logics, tilings, and automata

  • Logic In Computer Science (BRA Session) (Session 11)
  • Conference paper
  • First Online:
Automata, Languages and Programming (ICALP 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 510))

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Abstract

We relate the logical and the automata theoretic approach to define sets of words, trees, and graphs. For this purpose a notion of “graph acceptor” is introduced which can specify monadic second-order properties and allows to treat known types of finite automata in a common framework. In the final part of the paper, we discuss infinite graphs that have a decidable monadic second-order theory.

Research supported by EBRA Working Group 3166 “Algebraic and Syntactic Methods in Computer Science (ASMICS)”

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Authors and Affiliations

  1. Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität Kiel, Olshausenstr. 40, W 2300, Kiel 1

    Wolfgang Thomas

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  1. Wolfgang Thomas
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Javier Leach Albert Burkhard Monien Mario Rodríguez Artalejo

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© 1991 Springer-Verlag Berlin Heidelberg

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Thomas, W. (1991). On logics, tilings, and automata. In: Albert, J.L., Monien, B., Artalejo, M.R. (eds) Automata, Languages and Programming. ICALP 1991. Lecture Notes in Computer Science, vol 510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54233-7_154

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  • DOI: https://doi.org/10.1007/3-540-54233-7_154

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54233-9

  • Online ISBN: 978-3-540-47516-3

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