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On lengths of proofs in non-classical logics
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SYSNO ASEP 0337052 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On lengths of proofs in non-classical logics Title O délkách důkazů v neklasických logikách Author(s) Hrubeš, Pavel (MU-W) RID, SAI, ORCID Source Title Annals of Pure and Applied Logic. - : Elsevier - ISSN 0168-0072
Roč. 157, 2-3 (2009), s. 194-205Number of pages 12 s. Language eng - English Country NL - Netherlands Keywords length of proof ; propositional logic ; modal logic ; intuitionistic logic Subject RIV BA - General Mathematics CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000264386500012 DOI 10.1016/j.apal.2008.09.013 Annotation We give proofs of the effective monotone interpolation property for the system of modal logic K. and others, and the system IL of intuitionistic propositional logic. Hence we obtain exponential lower bounds on the number of proof-lines in those systems. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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