A note on neat reducts
Studia Logica 85 (2):139 - 151 (2007)
| Abstract | SC, CA, QA and QEA denote the class of Pinter’s substitution algebras, Tarski’s cylindric algebras, Halmos’ quasi-polyadic and quasi-polyadic equality algebras, respectively. Let . and . We show that the class of n dimensional neat reducts of algebras in K m is not elementary. This solves a problem in [2]. Also our result generalizes results proved in [1] and [2] | |||||||||
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István Németi & Gábor Sági (2000). On the Equational Theory of Representable Polyadic Equality Algebras. Journal of Symbolic Logic 65 (3):1143-1167.
Gábor Sági (2002). A Note on Algebras of Substitutions. Studia Logica 72 (2):265-284.
Tarek Sayed Ahmed (2005). Algebraic Logic, Where Does It Stand Today? Bulletin of Symbolic Logic 11 (4):465-516.
Leon Henkin (1971). Cylindric Algebras. Amsterdam,North-Holland Pub. Co..
Miklós Ferenczi (2007). Finitary Polyadic Algebras From Cylindric Algebras. Studia Logica 87 (1):1 - 11.
Tarek Sayed Ahmed (2005). On Amalgamation in Algebras of Logic. Studia Logica 81 (1):61 - 77.
Robin Hirsch, Ian Hodkinson & Roger D. Maddux (2002). Relation Algebra Reducts of Cylindric Algebras and an Application to Proof Theory. Journal of Symbolic Logic 67 (1):197-213.
István Németi (1983). The Class of Neat-Reducts of Cylindric Algebras is Not a Variety but is Closed with Respect to ${\Rm HP}$. Notre Dame Journal of Formal Logic 24 (3):399-409.
Tarek Sayed Ahmed (2008). On Complete Representations of Reducts of Polyadic Algebras. Studia Logica 89 (3):325 - 332.
Tarek Sayed Ahmed & Istvan Németi (2001). On Neat Reducts of Algebras of Logic. Studia Logica 68 (2):229-262.
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