On complete representations of reducts of polyadic algebras
Studia Logica 89 (3):325 - 332 (2008)
| Abstract | Following research initiated by Tarski, Craig and Németi, and futher pursued by Sain and others, we show that for certain subsets G of ω ω, atomic countable G polyadic algebras are completely representable. G polyadic algebras are obtained by restricting the similarity type and axiomatization of ω-dimensional polyadic algebras to finite quantifiers and substitutions in G. This contrasts the cases of cylindric and relation algebras. | |||||||||
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Tarek Sayed Ahmed (2007). A Note on Neat Reducts. Studia Logica 85 (2):139 - 151.
Leon Henkin (1971). Cylindric Algebras. Amsterdam,North-Holland Pub. Co..
George Georgescu (2010). States on Polyadic Mv-Algebras. Studia Logica 94 (2).
István Németi (1991). Algebraization of Quantifier Logics, an Introductory Overview. Studia Logica 50 (3-4):485 - 569.
Roch Ouellet (1982). A Categorical Approach to Polyadic Algebras. Studia Logica 41 (4):317 - 327.
Vera Stebletsova (2000). Weakly Associative Relation Algebras with Polyadic Composition Operations. Studia Logica 66 (2):297-323.
Miklós Ferenczi (2007). Finitary Polyadic Algebras From Cylindric Algebras. Studia Logica 87 (1):1 - 11.
István Németi & Gábor Sági (2000). On the Equational Theory of Representable Polyadic Equality Algebras. Journal of Symbolic Logic 65 (3):1143-1167.
Tarek Sayed Ahmed (2005). Algebraic Logic, Where Does It Stand Today? Bulletin of Symbolic Logic 11 (4):465-516.
Tarek Sayed Ahmed & Istvan Németi (2001). On Neat Reducts of Algebras of Logic. Studia Logica 68 (2):229-262.
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