p-subsequentiable transducers

  • Authors:
  • Cyril Allauzen;Mehryar Mohri

  • Affiliations:
  • AT&T Labs, Research, Florham Park, NJ;AT&T Labs, Research, Florham Park, NJ

  • Venue:
  • CIAA'02 Proceedings of the 7th international conference on Implementation and application of automata
  • Year:
  • 2002
  • Efficient algorithms for testing the twins property

    Journal of Automata, Languages and Combinatorics - Special issue: Selected papers of the workshop weighted automata: Theory and applications (Dresden University of Technology (Germany), March 4-8, 2002)

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Abstract

p-subsequential transducers are efficient finite-state transducers with p final outputs used in a variety of applications. Not all transducers admit equivalent p-subsequential transducers however. We briefly describe an existing generalized determinization algorithm for p- subsequential transducers and give the first characterization of p-subsequentiable transducers, transducers that admit equivalent p-subsequential transducers. Our characterization shows the existence of an efficient algorithm for testing p-subsequentiability. We have fully implemented the generalized determinization algorithm and the algorithm for testing p- subsequentiability. We report experimental results showing that these algorithms are practical in large-vocabulary speech recognition applications. The theoretical formulation of our results is the equivalence of the following three properties for finite-state transducers: determinizability in the sense of the generalized algorithm, p-subsequentiability, and the twins property.