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...
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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...
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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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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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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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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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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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Linear logic (section Sequent calculus presentation)
intuitions. Proof-theoretically, it derives from an analysis of classical sequent calculus in which uses of (the structural rules) contraction and weakening are...
33 KB (2,919 words) - 20:37, 9 August 2024