Finitary polyadic algebras from cylindric algebras

Studia Logica 87 (1):1 - 11 (2007)
It is known that every α-dimensional quasi polyadic equality algebra (QPEA α ) can be considered as an α-dimensional cylindric algebra satisfying the merrygo- round properties . The converse of this proposition fails to be true. It is investigated in the paper how to get algebras in QPEA from algebras in CA. Instead of QPEA the class of the finitary polyadic equality algebras (FPEA) is investigated, this class is definitionally equivalent to QPEA. It is shown, among others, that from every algebra in a β-dimensional algebra can be obtained in QPEA β where , moreover the algebra obtained is representable in a sense.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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DOI 10.2307/40210795
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References found in this work BETA
Miklós Ferenczi (2012). On Representability of Neatly Embeddable Cylindric Algebras. Journal of Applied Non-Classical Logics 10 (3-4):303-315.

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