Nondeterministic Moore automata and Brzozowski's algorithm

  • Authors:
  • Giusi Castiglione;Antonio Restivo;Marinella Sciortino

  • Affiliations:
  • Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy;Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy;Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy

  • Venue:
  • CIAA'11 Proceedings of the 16th international conference on Implementation and application of automata
  • Year:
  • 2011

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Abstract

Moore automata represent a model that has many applications. In this paper we define a notion of coherent nondeterministic Moore automaton (NMA) and show that such a model has the same computational power of the classical deterministic Moore automaton. We consider also the problem of constructing the minimal deterministic Moore automaton equivalent to a given NMA. In this paper we propose an algorithm that is a variant of Brzozowski's algorithm in the sense that it is essentially structured as reverse operation and subset construction performed twice.