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arXiv · 2405.14581

Free p-algebras revisited: an algebraic investigation of implication-free intuitionism

Tomasz Kowalski·Katarzyna Słomczyńska
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Abstract

We give a new construction of free distributive p-algebras. Our construction relies on a detailed description of completely meet-irreducible congruences, so it is purely universal algebraic. It yields a normal form theorem for p-algebra terms, simpler proofs of several existing results, as well as a complete characterisation of structurally complete varieties of p-algebras.

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Tomasz Kowalski, Katarzyna Słomczyńska. 2024-05-23. Free p-algebras revisited: an algebraic investigation of implication-free intuitionism. https://arxiv.org/abs/2405.14581

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