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DOI: 10.4230/LIPIcs.FSTTCS.2019.45
URN: urn:nbn:de:0030-drops-116071
URL: https://drops.dagstuhl.de/opus/volltexte/2019/11607/
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Kuperberg, Denis ; Pinault, Laureline ; Pous, Damien

Cyclic Proofs and Jumping Automata

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LIPIcs-FSTTCS-2019-45.pdf (0.6 MB)


Abstract

We consider a fragment of a cyclic sequent proof system for Kleene algebra, and we see it as a computational device for recognising languages of words. The starting proof system is linear and we show that it captures precisely the regular languages. When adding the standard contraction rule, the expressivity raises significantly; we characterise the corresponding class of languages using a new notion of multi-head finite automata, where heads can jump.

BibTeX - Entry

@InProceedings{kuperberg_et_al:LIPIcs:2019:11607,
  author =	{Denis Kuperberg and Laureline Pinault and Damien Pous},
  title =	{{Cyclic Proofs and Jumping Automata}},
  booktitle =	{39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019)},
  pages =	{45:1--45:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-131-3},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{150},
  editor =	{Arkadev Chattopadhyay and Paul Gastin},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2019/11607},
  URN =		{urn:nbn:de:0030-drops-116071},
  doi =		{10.4230/LIPIcs.FSTTCS.2019.45},
  annote =	{Keywords: Cyclic proofs, regular languages, multi-head automata, transducers}
}

Keywords: Cyclic proofs, regular languages, multi-head automata, transducers
Seminar: 39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019)
Issue Date: 2019
Date of publication: 10.12.2019


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