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Towards Metamathematics of Weak Arithmetics over Fuzzy Logic
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SYSNO ASEP 0357712 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Towards Metamathematics of Weak Arithmetics over Fuzzy Logic Author(s) Hájek, Petr (UIVT-O) RID, SAI Source Title Logic Journal of the IGPL. - : Oxford University Press - ISSN 1367-0751
Roč. 19, č. 3 (2011), s. 467-475Number of pages 9 s. Language eng - English Country GB - United Kingdom Keywords weak arithmetics ; mathematical fuzzy logic ; Gödel’s theorem ; essential undecidability Subject RIV BA - General Mathematics R&D Projects IAA100300503 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000290586100004 EID SCOPUS 79956006655 DOI 10.1093/jigpal/jzp091 Annotation This paper continues investigation of a very weak arithmetic that results from the well-known Robinson arithmetic by not assuming that addition and multiplication are total functions and, secondly, by weakening the classical logic to the basic mathematical fuzzy logic. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2012
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