Lawvere's elementary theories and polyadic and cylindric algebras
Aubert Daigenault (1970)
Fundamenta Mathematicae
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Aubert Daigenault (1970)
Fundamenta Mathematicae
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Gerhard Osius (1974)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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H. Keisler (1963)
Fundamenta Mathematicae
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Don Pigozzi, Antonino Salibra (1993)
Banach Center Publications
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The polyadic algebras that arise from the algebraization of the first-order extensions of a SIC are characterized and a representation theorem is proved. Standard implicational calculi (SIC)'s were considered by H. Rasiowa [19] and include classical and intuitionistic logic and their various weakenings and fragments, the many-valued logics of Post and Łukasiewicz, modal logics that admit the rule of necessitation, BCK logic, etc.
P. C. Gilmore (1968)
Compositio Mathematica
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J. Adámek, H. Herrlich, J. Rosický (1988)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Saharon Shelah (1976)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Karel Hrbacek (1978)
Fundamenta Mathematicae
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Cīrulis, Jānis (2004)
Novi Sad Journal of Mathematics
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