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On Witnessed Models in Fuzzy Logic III - Witnessed Gödel Logics
0342154 - UIVT-O 2011 RIV DE eng J - Článek v odborném periodiku
On Witnessed Models in Fuzzy Logic III - Witnessed Gödel Logics.
Mathematical Logic Quarterly. Roč. 56, č. 2 (2010), s. 171-174 ISSN 0942-5616
Grant CEP: GA MŠk(CZ) 1M0545
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: mathematical fuzzy logic * Gödel logic * witnessed models * arithmetical complexity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.361, rok: 2010
Gödel (fuzzy) logics with truth sets being countable closed subsets of the unit real interval containing 0 and 1 are studied under their usual semantics and under the witnessed semantics, the latter admitting only models in which the truth value of each universally quantified formula is the minimum of truth values of its instances and dually for existential quantification and maximum. An infinite system of such truth sets is constructed such that under the usual semantics the corresponding logics have pairwise different sets of (standard) tautologies, all these sets being non-arithmetical, whereas under the witnessed semantics all the logics have the same set of tautologies and it is Pi2-complete.
Trvalý link: http://hdl.handle.net/11104/0184967