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Automatické dokazování ve fuzzy logikách
Cintula, Petr ; Navara, M.
Computer algebra allows to perform many operations which were considered difficult, e.g., factorization, integration, symbolic solution of ODEs, etc. Logical operations are not always implemented. E.g., Maple 9 has a package LOGIC which was missing in several preceding versions. Except for packages for fuzzy control, there seems to be no professional software for fuzzy logical tasks. Here we summarize current situation in computer algebra support of testing tautologies in fuzzy logics.
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Slabě implikační predikátové fuzzy logiky
Cintula, Petr
There are two classes of propositional logics related to the area of mathematical fuzzy logics proposed in work of the author (see also joint paper by the author and Libor Běhounek where philosophical, methodological, and pragmatical reasons for introducing these two classes appear.) After we recall same basic definitions we turn our attention to the first-order variants of these two classes of logics. The results presented here are mainly from the author's thesis and his upcoming paper. Because of the lack of space we present the basic definitions and theorems only and we completely disregard the important concept of Baaz delta.
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