Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Chaudhuri, Kaustuv; Marin, Sonia; Straßburger, Lutz http://www.dagstuhl.de/lipics License
when quoting this document, please refer to the following
DOI:
URN: urn:nbn:de:0030-drops-59947
URL:

; ;

Modular Focused Proof Systems for Intuitionistic Modal Logics

pdf-format:


Abstract

Focusing is a general technique for syntactically compartmentalizing the non-deterministic choices in a proof system, which not only improves proof search but also has the representational benefit of distilling sequent proofs into synthetic normal forms. However, since focusing is usually specified as a restriction of the sequent calculus, the technique has not been transferred to logics that lack a (shallow) sequent presentation, as is the case for some of the logics of the modal cube. We have recently extended the focusing technique to classical nested sequents, a generalization of ordinary sequents. In this work we further extend focusing to intuitionistic nested sequents, which can capture all the logics of the intuitionistic S5 cube in a modular fashion. We present an internal cut-elimination procedure for the focused system which in turn is used to show its completeness.

BibTeX - Entry

@InProceedings{chaudhuri_et_al:LIPIcs:2016:5994,
  author =	{Kaustuv Chaudhuri and Sonia Marin and Lutz Stra{\ss}burger},
  title =	{{Modular Focused Proof Systems for Intuitionistic Modal Logics}},
  booktitle =	{1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
  pages =	{16:1--16:18},
  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/2016/5994},
  URN =		{urn:nbn:de:0030-drops-59947},
  doi =		{10.4230/LIPIcs.FSCD.2016.16},
  annote =	{Keywords: intuitionistic modal logic, focusing, proof search, cut elimination, nested sequents}
}

Keywords: intuitionistic modal logic, focusing, proof search, cut elimination, nested sequents
Seminar: 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)
Issue date: 2016
Date of publication: 2016


DROPS-Home | Fulltext Search | Imprint Published by LZI