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Author

G. Vergottini

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Open access Aug 2026

On Bochvar Algebras and Regular Double Stone Algebras

Bochvar algebras and regular double Stone algebras are the equivalent algebraic semantics of logics widely used for reasoning about partial information in computer science and AI. Viewed as categories, they are both equivalent to certain categories based on Boolean algebras. Despite this similarity, the precise rel...

F. Paoli, G. Vergottini, Nicolò Zamperlin et al. · 1 citation
Open access Sep 2026

A Common External Framework for Kleene and McCarthy Algebras

Algebras of disjoint alternatives (ADAs), introduced by Manes, are extensions of McCarthy algebras by a unary operator acting as an oracle for the halting problem, and provide a semantics for the equational theory of the if–then–else  construct. We study the variety of ADAs in the signature without the constan...

G. Vergottini, A. Ledda, P. Graziani · 0 citations

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