Minimizing Deterministic Weighted Tree Automata

  • Authors:
  • Andreas Maletti

  • Affiliations:
  • International Computer Science Institute, Berkeley, USA CA 94704

  • Venue:
  • Language and Automata Theory and Applications
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

The problem of efficiently minimizing deterministic weighted tree automata (wta) is investigated. Such automata have found promising applications as language models in Natural Language Processing. A polynomial-time algorithm is presented that given a deterministic wta over a commutative semifield, of which all operations including the computation of the inverses are polynomial, constructs an equivalent minimal (with respect to the number of states) deterministic and total wta. If the semifield operations can be performed in constant time, then the algorithm runs in time O(rmn4) where ris the maximal rank of the input symbols, mis the number of transitions, and nis the number of states of the input wta.