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.TYPES.2018.5
URN: urn:nbn:de:0030-drops-114098
URL: https://drops.dagstuhl.de/opus/volltexte/2019/11409/
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Schlichtkrull, Anders

New Formalized Results on the Meta-Theory of a Paraconsistent Logic

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LIPIcs-TYPES-2018-5.pdf (0.5 MB)


Abstract

Classical logics are explosive, meaning that everything follows from a contradiction. Paraconsistent logics are logics that are not explosive. This paper presents the meta-theory of a paraconsistent infinite-valued logic, in particular new results showing that while the question of validity for a given formula can be reduced to a consideration of only finitely many truth values, this does not mean that the logic collapses to a finite-valued logic. All definitions and theorems are formalized in the Isabelle/HOL proof assistant.

BibTeX - Entry

@InProceedings{schlichtkrull:LIPIcs:2019:11409,
  author =	{Anders Schlichtkrull},
  title =	{{New Formalized Results on the Meta-Theory of a Paraconsistent Logic}},
  booktitle =	{24th International Conference on Types for Proofs and Programs (TYPES 2018)},
  pages =	{5:1--5:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-106-1},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{130},
  editor =	{Peter Dybjer and Jos{\'e} Esp{\'\i}rito Santo and Lu{\'\i}s Pinto},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11409},
  URN =		{urn:nbn:de:0030-drops-114098},
  doi =		{10.4230/LIPIcs.TYPES.2018.5},
  annote =	{Keywords: Paraconsistent logic, Many-valued logic, Formalization, Isabelle proof assistant, Paraconsistency}
}

Keywords: Paraconsistent logic, Many-valued logic, Formalization, Isabelle proof assistant, Paraconsistency
Collection: 24th International Conference on Types for Proofs and Programs (TYPES 2018)
Issue Date: 2019
Date of publication: 18.11.2019


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