Ambiguity and Communication

Authors Juraj Hromkovic, Georg Schnitger



PDF
Thumbnail PDF

File

LIPIcs.STACS.2009.1805.pdf
  • Filesize: 186 kB
  • 12 pages

Document Identifiers

Author Details

Juraj Hromkovic
Georg Schnitger

Cite AsGet BibTex

Juraj Hromkovic and Georg Schnitger. Ambiguity and Communication. In 26th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 3, pp. 553-564, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)
https://doi.org/10.4230/LIPIcs.STACS.2009.1805

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 $k,r \in \mathbb{N}$ we construct languages $L_{r,k}$ which can be recognized by NFA's with size $k \cdot$poly$(r)$ and ambiguity $O(n^k)$, but $L_{r,k}$ has only NFA's with exponential size, if ambiguity $o(n^k)$ is required. In particular, a hierarchy for polynomial ambiguity is obtained, solving a long standing open problem (Ravikumar and Ibarra, 1989, Leung, 1998).
Keywords
  • Nondeterministic finite automata
  • Ambiguity
  • Communication complexity

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail