On Cardinality of Matrices Strongly Adequate for the Intuitionistic Propositional Logic

نویسنده

  • Andrzej Wroński
چکیده

Gödel [2] stated that there is no finite matrix adequate for the intuition-istic propositional logic (IN T). However, a denumerable adequate matrix was found by Ja´skowski [5]. In this paper it is shown that no denumerable matrix is strongly adequate for IN T which was previously conjectured by prof. R. Suszko. be the free algebra in the class of all algebras of the similarity type 2, 2, 2, 1 free-generated by a denumerably infinite set

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تاریخ انتشار 2013