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Asynchronous cellular automata for infinite traces

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Automata, Languages and Programming (ICALP 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 623))

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Abstract

The notion of infinite traces has been proposed to generalize both the finite traces defined by Mazurkicwicz and the infinite words. The family of recognizable languages of infinite traces has been introduced by means of recognizing morphisms and characterized by c-rational expressions. In this paper, we provide another characterization of this family using asynchronous cellular automata (which carry the most intuitive idea of finite suite concurrent machines). To this purpose, we give effective constructions for c-rational operations on these automata, which are of independent interest.

This work has been partly supported by the ESPRIT Basic Research Actions N∘ 3166 (ASMICS) and N∘ 3148 (DEMON) and by the PRC C3 and Math-Info.

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Author information

Authors and Affiliations

  1. Institut Blaise Pascal, Université PARIS 6 LITP, 4, place Jussieu, 75 252, Paris Cedex 05, France

    Paul Gastin

  2. Université PARIS SUD LRI, URA CNRS 410, Bât. 490, 91 405, Orsay Cedex, France

    Antoine Petit

Authors
  1. Paul Gastin
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  2. Antoine Petit
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W. Kuich

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© 1992 Springer-Verlag Berlin Heidelberg

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Gastin, P., Petit, A. (1992). Asynchronous cellular automata for infinite traces. In: Kuich, W. (eds) Automata, Languages and Programming. ICALP 1992. Lecture Notes in Computer Science, vol 623. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55719-9_106

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  • DOI: https://doi.org/10.1007/3-540-55719-9_106

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55719-7

  • Online ISBN: 978-3-540-47278-0

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