Size reduction of multitape automata

  • Authors:
  • Hellis Tamm;Matti Nykänen;Esko Ukkonen

  • Affiliations:
  • Department of Computer Science, University of Helsinki, Finland;Department of Computer Science, University of Helsinki, Finland;Department of Computer Science, University of Helsinki, Finland

  • Venue:
  • CIAA'05 Proceedings of the 10th international conference on Implementation and Application of Automata
  • Year:
  • 2005

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Abstract

We present a method for size reduction of two-way multitape automata. Our algorithm applies local transformations that change the order in which transitions concerning different tapes occur in the automaton graph, and merge suitable states into a single state. Our work is motivated by implementation of a language for string manipulation in database systems where string predicates are compiled into two-way multitape automata. Additionally, we present a (one-tape) NFA reduction algorithm that is based on a method proposed for DFA minimization by Kameda and Weiner, and apply this algorithm, combined with the multitape automata reduction algorithm, on our multitape automata.