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Disjunction Property and Complexity of Substructural Logics
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SYSNO ASEP 0368496 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Disjunction Property and Complexity of Substructural Logics Author(s) Horčík, Rostislav (UIVT-O) SAI, RID
Terui, K. (JP)Source Title Theoretical Computer Science. - : Elsevier - ISSN 0304-3975
Roč. 412, č. 31 (2011), s. 3992-4006Number of pages 15 s. Language eng - English Country NL - Netherlands Keywords substructural logics ; disjunction property ; computational complexity Subject RIV BA - General Mathematics R&D Projects GAP202/10/1826 GA ČR - Czech Science Foundation (CSF) ME09110 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000292353400002 EID SCOPUS 79958066909 DOI 10.1016/j.tcs.2011.04.004 Annotation We systematically identify a large class of substructural logics that satisfy the disjunction property (DP), and show that every consistent substructural logic with the DP is PSPACE-hard. Our results are obtained by using algebraic techniques. PSPACE-completeness for many of these logics is furthermore established by proof theoretic arguments. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2012
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