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arXiv · 2409.03640

On the universal theory of the free pseudocomplemented distributive lattice

Luca Carai·Tommaso Moraschini
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Abstract

It is shown that the universal theory of the free pseudocomplemented distributive lattice is decidable and a recursive axiomatization is presented. This contrasts with the case of the full elementary theory of the finitely generated free algebras which is known to be undecidable. As a by-product, a description of the finitely generated pseudocomplemented distributive lattices that can be embedded into the free algebra is also obtained.

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Luca Carai, Tommaso Moraschini. 2024-09-05. On the universal theory of the free pseudocomplemented distributive lattice. https://arxiv.org/abs/2409.03640

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