Annals of Pure and Applied Logic 112 (2-3):225-266 (2001)

Abstract
We characterise the class S Ra CA n of subalgebras of relation algebra reducts of n -dimensional cylindric algebras by the notion of a ‘hyperbasis’, analogous to the cylindric basis of Maddux, and by representations. We outline a game–theoretic approximation to the existence of a representation, and how to use it to obtain a recursive axiomatisation of S Ra CA n
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DOI 10.1016/s0168-0072(01)00084-7
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References found in this work BETA

Model Theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.
Cylindric Algebras. Part II.Leon Henkin, J. Donald Monk & Alfred Tarski - 1988 - Journal of Symbolic Logic 53 (2):651-653.
Complete Representations in Algebraic Logic.Robin Hirsch & Ian Hodkinson - 1997 - Journal of Symbolic Logic 62 (3):816-847.

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Citations of this work BETA

Algebraic Logic, Where Does It Stand Today?Tarek Sayed Ahmed - 2005 - Bulletin of Symbolic Logic 11 (3):465-516.
Relation Algebras From Cylindric Algebras, II.Robin Hirsch & Ian Hodkinson - 2001 - Annals of Pure and Applied Logic 112 (2-3):267-297.
Relation Algebras From Cylindric Algebras, I.Robin Hirsch & Ian Hodkinson - 2001 - Annals of Pure and Applied Logic 112 (2-3):225-266.
Amalgamation Theorems in Algebraic Logic, an Overview.Tarek Sayed-Ahmed - 2005 - Logic Journal of the IGPL 13 (3):277-286.

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Similar books and articles

Cylindric Algebras.Leon Henkin - 1971 - Amsterdam: North-Holland Pub. Co..
Relation Algebras From Cylindric Algebras, II.Robin Hirsch & Ian Hodkinson - 2001 - Annals of Pure and Applied Logic 112 (2-3):267-297.
Atom Structures of Cylindric Algebras and Relation Algebras.Ian Hodkinson - 1997 - Annals of Pure and Applied Logic 89 (2):117-148.
Complete Representations in Algebraic Logic.Robin Hirsch & Ian Hodkinson - 1997 - Journal of Symbolic Logic 62 (3):816-847.

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