On interplay of quantifiers in Gödel-Dummett fuzzy logics

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On interplay of quantifiers in Gödel-Dummett fuzzy logics

Axiomatization of Gödel-Dummett predicate logics S2G, S3G, and PG, where PG is the weakest logic in which all prenex operations are sound, and the relationships of these logics to logics known from the literature are discussed. Examples of non-prenexable formulas are given for those logics where some prenex operation is not available. Inter-expressibility of quantifiers is explored for each of ...

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ژورنال

عنوان ژورنال: Archive for Mathematical Logic

سال: 2006

ISSN: 0933-5846,1432-0665

DOI: 10.1007/s00153-005-0322-y