Implicit Structures to Implement NFA's from Regular Expressions

  • Authors:
  • Jean-Marc Champarnaud

  • Affiliations:
  • -

  • Venue:
  • CIAA '00 Revised Papers from the 5th International Conference on Implementation and Application of Automata
  • Year:
  • 2000

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Abstract

The aim of this paper is to compare three efficient representations of the position automaton of a regular expression: the Thompson Ɛ-automaton, the ZPC-structure and the F-structure, an optimization of the ZPC-structure. These representations are linear w.r.t. the size s of the expression, since their construction is in O(s) space and time, as well as the computation of the set δ(X, a) of the targets of the transitions by a of any subset X of states. The comparison is based on the evaluation of the number of edges of the underlying graphs respectively created by the construction step or visited by the computation of a set δ(X, a).