Topological automata

  • Authors:
  • Emmanuel Jeandel

  • Affiliations:
  • LIP (UMR CNRS, ENS Lyon, INRIA, Univ. Claude Bernard Lyon 1), École Normale Supérieure de Lyon, LYON cedex 07, France

  • Venue:
  • STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
  • Year:
  • 2005

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Abstract

We give here a new, topological, definition of automata that extends previous definitions of probabilistic and quantum automata. We then prove in an unified framework that deterministic or non-deterministic probabilistic and quantum automata with an isolatedthreshold recognize only regular languages.