License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2016.126
URN: urn:nbn:de:0030-drops-62619
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6261/
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Colcombet, Thomas ; Fijalkow, Nathanaël

The Bridge Between Regular Cost Functions and Omega-Regular Languages

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LIPIcs-ICALP-2016-126.pdf (0.5 MB)

Abstract

In this paper, we exhibit a one-to-one correspondence between omega-regular languages and a subclass of regular cost functions over finite words, called omega-regular like cost functions. This bridge between the two models allows one to readily import classical results such as the last appearance record or the McNaughton-Safra constructions to the realm of regular cost functions. In combination with game theoretic techniques, this also yields a simple description of an optimal procedure of history-determinisation for cost automata, a central result in the theory of regular cost functions.

BibTeX - Entry

@InProceedings{colcombet_et_al:LIPIcs:2016:6261,
  author =	{Thomas Colcombet and Nathana{\"e}l Fijalkow},
  title =	{{The Bridge Between Regular Cost Functions and Omega-Regular Languages}},
  booktitle =	{43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)},
  pages =	{126:1--126:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-013-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{55},
  editor =	{Ioannis Chatzigiannakis and Michael Mitzenmacher and Yuval Rabani and Davide Sangiorgi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6261},
  URN =		{urn:nbn:de:0030-drops-62619},
  doi =		{10.4230/LIPIcs.ICALP.2016.126},
  annote =	{Keywords: Theory of Regular Cost Functions, Automata with Counters, Costautomata, Quantitative Extensions of Automata, Determinisation of Automata}
}

Keywords: Theory of Regular Cost Functions, Automata with Counters, Costautomata, Quantitative Extensions of Automata, Determinisation of Automata
Collection: 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)
Issue Date: 2016
Date of publication: 23.08.2016

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