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DOI: 10.4230/LIPIcs.STACS.2009.1805
URN: urn:nbn:de:0030-drops-18054
URL: https://drops.dagstuhl.de/opus/volltexte/2009/1805/
Hromkovic, Juraj ; Schnitger, Georg
Ambiguity and Communication
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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).
BibTeX - Entry
@InProceedings{hromkovic_et_al:LIPIcs:2009:1805,
author = {Juraj Hromkovic and Georg Schnitger},
title = {{Ambiguity and Communication}},
booktitle = {26th International Symposium on Theoretical Aspects of Computer Science},
pages = {553--564},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-09-5},
ISSN = {1868-8969},
year = {2009},
volume = {3},
editor = {Susanne Albers and Jean-Yves Marion},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2009/1805},
URN = {urn:nbn:de:0030-drops-18054},
doi = {10.4230/LIPIcs.STACS.2009.1805},
annote = {Keywords: Nondeterministic finite automata, Ambiguity, Communication complexity}
}
| Keywords: | Nondeterministic finite automata, Ambiguity, Communication complexity | |
| Seminar: | 26th International Symposium on Theoretical Aspects of Computer Science | |
| Issue date: | 2009 | |
| Date of publication: | 19.02.2009 |
