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On White’s Expansion of Lukasiewicz Logic
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SYSNO ASEP 0345010 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On White’s Expansion of Lukasiewicz Logic Author(s) Hájek, Petr (UIVT-O) RID, SAI Source Title Journal of Logic and Computation - ISSN 0955-792X
Roč. 20, č. 2 (2010), s. 389-397Number of pages 9 s. Language eng - English Country GB - United Kingdom Keywords Lukasiewicz fuzzy logic ; Cantor-Lukasiewicz set theory ; full comprehension Subject RIV BA - General Mathematics R&D Projects GEICC/08/E018 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000276843800001 EID SCOPUS 77950364266 DOI 10.1093/logcom/exp050 Annotation A variant of Lukasiewicz logic defined in a remark in White's 1979 paper on the consistency of the axiom of comprehension in the infinite-valued predicate logic of Lukasiewicz is studied; it is shown that the logic in question is an interesting expansion of Lukasiewicz logic which deserves further investigation together with its further expansions. Several formulas are proved in it and some model theory is offered. In the Appendix A, it is shown that a set theory with full comprehension over this logic (claimed consistent by White) is contradictory. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2011
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