Approximate Herbrand theorems are established for first-order fuzzy logics based on continuous t-norms, and used to provide proof-theoretic proofs of Skolemization for their Prenex...
Abstract. An approximate Herbrand theorem is established for firstorder infinite-valued Lukasiewicz Logic and used to obtain a proof-theoretic proof of Skolemization. These resul...
In this paper a method for the replacement, in formulas, of strong quantifiers by functions is introduced that can be considered as an alternative to Skolemization in the setting ...
We perform a proof-theoretical investigation of two modal predicate logics: global intuitionistic logic GI and global intuitionistic fuzzy logic GIF. These logics were introduced b...