logic, sequent calculus is a style of formal logical argumentation in which every line of a proof is a conditional tautology (called a sequent by Gerhard...
53 KB (5,850 words) - 06:02, 12 May 2024
is almost always associated with the conceptual framework of sequent calculus. Sequents are best understood in the context of the following three kinds...
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Natural deduction (redirect from Natural deduction calculus)
deduction. For this reason he introduced his alternative system, the sequent calculus, for which he proved the Hauptsatz both for classical and intuitionistic...
67 KB (6,849 words) - 18:38, 5 May 2024
Intuitionistic logic (redirect from Intuitionistic propositional calculus)
Gentzen discovered that a simple restriction of his system LK (his sequent calculus for classical logic) results in a system that is sound and complete...
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Boolean algebra (section Sequent calculus)
is sequent calculus, which has two sorts, propositions as in ordinary propositional calculus, and pairs of lists of propositions called sequents, such...
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First-order logic (redirect from First-order predicate calculus)
sequent calculus was developed to study the properties of natural deduction systems. Instead of working with one formula at a time, it uses sequents,...
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In structural proof theory, the nested sequent calculus is a reformulation of the sequent calculus to allow deep inference. Alwen Tiu; Egor Ianovski;...
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theory comes from a technical notion introduced in the sequent calculus: the sequent calculus represents the judgement made at any stage of an inference...
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Weisstein, Eric W. "Sequent Calculus". mathworld.wolfram.com. Retrieved 23 March 2024. "Interactive Tutorial of the Sequent Calculus". logitext.mit.edu...
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Noncommutative logic (section The Lambek calculus)
the noncommutative multiplicative connectives of the Lambek calculus. Its sequent calculus relies on the structure of order varieties (a family of cyclic...
6 KB (800 words) - 13:39, 28 February 2024