Around hopcroft’s algorithm

  • Authors:
  • Manuel Baclet;Claire Pagetti

  • Affiliations:
  • IRIT – UPS & CNRS, LSV – ENS de Cachan & CNRS – Cachan, France, Toulouse, France;ONERA / Cert, Toulouse, France

  • Venue:
  • CIAA'06 Proceedings of the 11th international conference on Implementation and Application of Automata
  • Year:
  • 2006

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Abstract

In this paper, a reflection is made on an indeterminism inherent to Hopcroft’s minimization algorithm: the splitter choice. We have implemented two natural policies (FIFO and FILO) for managing the set of splitters for which we obtain the following practical results: the FILO strategy performs better than the FIFO strategy, in the case of a one letter alphabet, the practical complexity in the FILO case never exceeds a linear one and our implementation is more efficient than the minimization algorithm of the FSM tool. This implementation is being integrated in a finite automata library, the Dash library. Thus, we present an efficient manner to manipulate automata by using canonical minimal automata.