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arXiv · 1202.5961

Bare canonicity of representable cylindric and polyadic algebras

Jannis Bulian·Ian Hodkinson
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Abstract

We show that for finite n at least 3, every first-order axiomatisation of the varieties of representable n-dimensional cylindric algebras, diagonal-free cylindric algebras, polyadic algebras, and polyadic equality algebras contains an infinite number of non-canonical formulas. We also show that the class of structures for each of these varieties is non-elementary. The proofs employ algebras derived from random graphs.

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Jannis Bulian, Ian Hodkinson. 2012-02-27. Bare canonicity of representable cylindric and polyadic algebras. https://doi.org/10.1016/j.apal.2013.04.002

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