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P. Graziani

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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 · Mathematical Logic Quarterly · 0 citations