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.FSCD.2016.8
URN: urn:nbn:de:0030-drops-59742
URL: https://drops.dagstuhl.de/opus/volltexte/2016/5974/
Arisaka, Ryuta
Structural Interactions and Absorption of Structural Rules in BI Sequent Calculus
Abstract
Development of a contraction-free BI sequent calculus, be the
contraction-freeness implicit or explicit, has not been successful in
the literature. We address this problem by presenting such a sequent
system. Our calculus involves no structural rules. It should be an
insight into non-formula contraction absorption in other non-classical
logics. Contraction absorption in sequent calculus is associated to
simpler cut elimination and to efficient proof searches.
BibTeX - Entry
@InProceedings{arisaka:LIPIcs:2016:5974,
author = {Ryuta Arisaka},
title = {{Structural Interactions and Absorption of Structural Rules in BI Sequent Calculus}},
booktitle = {1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
pages = {8:1--8:18},
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/2016/5974},
URN = {urn:nbn:de:0030-drops-59742},
doi = {10.4230/LIPIcs.FSCD.2016.8},
annote = {Keywords: cut-elimination, contraction-free, sequent calculus, proof theory, BI, logic combination}
}
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Keywords: |
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cut-elimination, contraction-free, sequent calculus, proof theory, BI, logic combination |
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Collection: |
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1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016) |
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Issue Date: |
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2016 |
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Date of publication: |
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17.06.2016 |
