Polyadic and cylindric algebras of sentences

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2006 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 52, pages 444-449 (issn: 0942-5616, eissn: 1521-3870,

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Authors: Mohamed A. Amer; Tarek Sayed Ahmed;

doi: 10.1002/malq.200510039

Polyadic and cylindric algebras of sentences

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Abstract

AbstractIn this note we give an interpretation of cylindric algebras as algebras of sentences (rather than formulas) of first order logic. We show that the isomorphism types of such algebras of sentences coincide with the class of neat reducts of cylindric algebras. Also we show how this interpretation sheds light on some recent results. This is done by likening Henkin's Neat Embedding Theorem to his celebrated completeness proof. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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