Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Laurent, Olivier http://www.dagstuhl.de/lipics License
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URN: urn:nbn:de:0030-drops-59805
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Focusing in Orthologic

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Abstract

We propose new sequent calculus systems for orthologic (also known as minimal quantum logic) which satisfy the cut elimination property. The first one is a very simple system relying on the involutive status of negation. The second one incorporates the notion of focusing (coming from linear logic) to add constraints on proofs and thus to facilitate proof search. We demonstrate how to take benefits from the new systems in automatic proof search for orthologic.

BibTeX - Entry

@InProceedings{laurent:LIPIcs:2016:5980,
  author =	{Olivier Laurent},
  title =	{{Focusing in Orthologic}},
  booktitle =	{1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
  pages =	{25:1--25:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-010-1},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{52},
  editor =	{Delia Kesner and Brigitte Pientka},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/5980},
  URN =		{urn:nbn:de:0030-drops-59805},
  doi =		{10.4230/LIPIcs.FSCD.2016.25},
  annote =	{Keywords: orthologic, focusing, minimal quantum logic, linear logic, automatic proof search, cut elimination}
}

Keywords: orthologic, focusing, minimal quantum logic, linear logic, automatic proof search, cut elimination
Seminar: 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)
Issue date: 2016
Date of publication: 2016


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