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Neat Embeddings, Omitting Types, and Interpolation: An Overview
Notre Dame Journal of Formal Logic 44 (3):157-173 (2003)
Abstract
We survey various results on the relationship among neat embeddings (a notion special to cylindric algebras), complete representations, omitting types, and amalgamation. A hitherto unpublished application of algebraic logic to omitting types of first-order logic is givenLinks
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Citations of this work
Omitting types for finite variable fragments and complete representations of algebras.Hajnal Andréka, István Németi & Tarek Sayed Ahmed - 2008 - Journal of Symbolic Logic 73 (1):65-89.
Neat reducts and amalgamation in retrospect, a survey of results and some methods Part II: Results on amalgamation.Judit Madarász & Tarek Ahmed - 2009 - Logic Journal of the IGPL 17 (6):755-802.
Neat reducts and amalgamation in retrospect, a survey of results and some methods Part I: Results on neat reducts.Judit Madarász & Tarek Ahmed - 2009 - Logic Journal of the IGPL 17 (4):429-483.
Polyadic and cylindric algebras of sentences.Mohamed Amer & Tarek Sayed Ahmed - 2006 - Mathematical Logic Quarterly 52 (5):444-449.
References found in this work
Varieties of complex algebras.Robert Goldblatt - 1989 - Annals of Pure and Applied Logic 44 (3):173-242.
Nonfinitizability of classes of representable cylindric algebras.J. Donald Monk - 1969 - Journal of Symbolic Logic 34 (3):331-343.
Complete representations in algebraic logic.Robin Hirsch & Ian Hodkinson - 1997 - Journal of Symbolic Logic 62 (3):816-847.
Amalgamation and interpolation in normal modal logics.Larisa Maksimova - 1991 - Studia Logica 50 (3-4):457 - 471.
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