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Simone Cuconato

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Preprint Jul 2026

Sequent-style tableaux for first-order logic: structural analysis, cut admissibility, and the correspondence with LK

We give a self-contained development of the first-order block calculus in unsigned sequent-style notation: each node of the refutation tree carries a finite block $\Pi = \Gamma \cup \neg[\Delta]$, negation is governed by explicit rules, and a branch closes on a complementary pair of literals. The calculus is Smullyan's...

Simone Cuconato · 2 citations
Preprint Aug 2026

Sequent-style tableaux for intuitionistic propositional logic

Sequent-style tableaux are a refutation calculus in which each node of the refutation tree carries a finite block of formulae and the structural rules are absorbed into the data structure and the closure criterion. In their original, classical form they rest on an involutive De Morgan negation and on closure upon a com...

Simone Cuconato · 0 citations

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