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Ambiguity and Communication

Abstract : The ambiguity of a nondeterministic finite automaton (NFA) N for input size n is the maximal number of accepting computations of N for an input of size n. For all k, r 2 N we construct languages Lr,k which can be recognized by NFA's with size k poly(r) and ambiguity O(nk), but Lr,k has only NFA's with exponential size, if ambiguity o(nk) is required. In particular, a hierarchy for polynomial ambiguity is obtained, solving a long standing open problem (Ravikumar and Ibarra, 1989, Leung, 1998).
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https://hal.inria.fr/inria-00360175
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Submitted on : Tuesday, February 10, 2009 - 3:26:00 PM
Last modification on : Thursday, May 27, 2021 - 1:54:05 PM
Long-term archiving on: : Tuesday, June 8, 2010 - 7:18:40 PM

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  • HAL Id : inria-00360175, version 1
  • ARXIV : 0902.2140

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Juraj Hromkovic, Georg Schnitger. Ambiguity and Communication. 26th International Symposium on Theoretical Aspects of Computer Science STACS 2009, Feb 2009, Freiburg, Germany. pp.553-564. ⟨inria-00360175⟩

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