Multi-tilde Operators and Their Glushkov Automata

  • Authors:
  • Pascal Caron;Jean-Marc Champarnaud;Ludovic Mignot

  • Affiliations:
  • LITIS, University of Rouen, France;LITIS, University of Rouen, France;LITIS, University of Rouen, France

  • Venue:
  • LATA '09 Proceedings of the 3rd International Conference on Language and Automata Theory and Applications
  • Year:
  • 2009

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Abstract

Classical algorithms convert arbitrary automata into regular expressions that have an exponential size in the size of the automaton. There exists a well-known family of automata, obtained by the Glushkov construction (of an automaton from an expression) and named Glushkov automata, for which the conversion is linear. Our aim is to extend the family of Glushkov automata. A first step for such an extension is to define a new family of regular operators and to check that the associated extended expressions have good properties: existence of normal forms, succinctness with respect to equivalent simple expressions, and compatibility with Glushkov functions. This paper addresses this first step and investigates the case of multi-tilde operators.