The Parameterized Complexity of Intersection and Composition Operations on Sets of Finite-State Automata

  • Authors:
  • Todd Wareham

  • Affiliations:
  • -

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

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Abstract

This paper uses parameterized complexity analysis to delimit possible non-polynomial time algorithmic behaviors for the finite-state acceptor intersection and finite-state transducer intersection and composition problems. One important result derived as part of these analyses is the first proof of the NP-hardness of the finite-state transducer composition problem for both general and p-subsequential transducers.