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URN: urn:nbn:de:0030-drops-65440
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Analytic Calculi for Non-Classical Logics: Theory and Applications (Invited talk)

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Abstract

The possession of a suitable proof-calculus is the starting point for many investigations into a logic, including decidability and complexity, computational interpretations and automated theorem proving. By suitable proof-calculus we mean a calculus whose proofs exhibit some notion of subformula property ("analyticity"). In this talk we describe a method for the algorithmic introduction of analytic sequent-style calculi for a wide range of non-classical logics starting from Hilbert systems. To demonstrate the widespread applicability of this method, we discuss how to use the introduced calculi for proving various results ranging from Curry-Howard isomorphism to new interpretative tools for Indology.

BibTeX - Entry

@InProceedings{ciabattoni:LIPIcs:2016:6544,
  author =	{Agata Ciabattoni},
  title =	{{Analytic Calculi for Non-Classical Logics: Theory and Applications (Invited talk)}},
  booktitle =	{25th EACSL Annual Conference on Computer Science Logic (CSL 2016)},
  pages =	{4:1--4:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-022-4},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{62},
  editor =	{Jean-Marc Talbot and Laurent Regnier},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6544},
  URN =		{urn:nbn:de:0030-drops-65440},
  doi =		{10.4230/LIPIcs.CSL.2016.4},
  annote =	{Keywords: Proof theory, Fuzzy logic}
}

Keywords: Proof theory, Fuzzy logic
Seminar: 25th EACSL Annual Conference on Computer Science Logic (CSL 2016)
Issue date: 2016
Date of publication: 2016


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