Random Generation and Approximate Counting of Ambiguously Described Combinatorial Structures

  • Authors:
  • Alberto Bertoni;Massimiliano Goldwurm;Massimo Santini

  • Affiliations:
  • -;-;-

  • Venue:
  • STACS '00 Proceedings of the 17th Annual Symposium on Theoretical Aspects of Computer Science
  • Year:
  • 2000

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Abstract

This paper concerns the uniform random generation and the approximate counting of combinatorial structures admitting an ambiguous description. We propose a general framework to study the complexity of these problems and present some applications to specific classes of languages. In particular, we give a uniform random generation algorithm for finitely ambiguous context-free languages of the same time complexity of the best known algorithm for the unambiguous case. Other applications include a polynomial time uniform random generator and approximation scheme for the census function of (i) languages recognized in polynomial time by one-way nondeterministic auxiliary pushdown automata of polynomial ambiguity and (ii) polynomially ambiguous rational trace languages.