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...

is almost always associated with the conceptual framework of sequent calculus. Sequents are best understood in the context of the following three kinds...

sequent calculus was developed to study the properties of natural deduction systems. Instead of working with one formula at a time, it uses sequents,...

theory comes from a technical notion introduced in the sequent calculus: the sequent calculus represents the judgement made at any stage of an inference...

deduction. For this reason he introduced his alternative system, the sequent calculus, for which he proved the Hauptsatz both for classical and intuitionistic...

ability to manipulate the continuation of programs and the symmetry of sequent calculus to express the duality between the two evaluation strategies known...

radically different logics. For example, a paradigmatic case is the sequent calculus, which can be used to express the consequence relations of both intuitionistic...

intuitions. Proof-theoretically, it derives from an analysis of classical sequent calculus in which uses of (the structural rules) contraction and weakening are...

Hauptsatz) is the central result establishing the significance of the sequent calculus. It was originally proved by Gerhard Gentzen in part I of his landmark...

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...

In structural proof theory, the nested sequent calculus is a reformulation of the sequent calculus to allow deep inference. Alwen Tiu; Egor Ianovski;...

is sequent calculus, which has two sorts, propositions as in ordinary propositional calculus, and pairs of lists of propositions called sequents, such...

In mathematical logic, the cut rule is an inference rule of sequent calculus. It is a generalisation of the classical modus ponens inference rule. Its...

which contains the congruence rule in its Hilbert calculus or the E rule in its sequent calculus upon the corresponding proof systems for classical propositional...

any of their rules of inference, while both natural deduction and sequent calculus contain some context-changing rules. Thus, if one is interested only...

in the end sequent of a cut-free proof is a subformula of one of the premises. This allows one to show consistency of the sequent calculus easily; if...

Weisstein, Eric W. "Sequent Calculus". mathworld.wolfram.com. Retrieved 23 March 2024. "Interactive Tutorial of the Sequent Calculus". logitext.mit.edu...

of mathematics, proof theory, especially on natural deduction and sequent calculus. He died of starvation in a Czech prison camp in Prague in 1945. Gentzen...

then P {\displaystyle P} may be concluded." In sequent calculus the principle is expressed by the sequent Γ , ¬ ¬ P ⊢ P , Δ {\displaystyle \Gamma ,\lnot...

general idea in structural proof theory that breaks with the classical sequent calculus by generalising the notion of structure to permit inference to occur...

or determine that none exists. The concepts of Fitch-style proof, sequent calculus and natural deduction are generalizations of the concept of proof....

propositional calculus, Ricci calculus, calculus of variations, lambda calculus, sequent calculus, and process calculus. Furthermore, the term "calculus" has variously...

Proof calculus, a framework for expressing systems of logical inference Sequent calculus, a proof calculus for first-order logic Cirquent calculus, a proof...

point combinator SKI combinator calculus B, C, K, W system SECD machine Graph reduction machine Sequent, sequent calculus Natural deduction Intuitionistic...

In logic, the monadic predicate calculus (also called monadic first-order logic) is the fragment of first-order logic in which all relation symbols[clarification...

is an inference rule of a sequent calculus that does not refer to any logical connective but instead operates on the sequents directly. Structural rules...

Look up sequent in Wiktionary, the free dictionary. A sequent is a formalized statement of provability used within sequent calculus. Sequent may also refer...

These include Hilbert-style deductive systems, natural deduction, the sequent calculus, the tableaux method and resolution. A formula A is a syntactic consequence...

the noncommutative multiplicative connectives of the Lambek calculus. Its sequent calculus relies on the structure of order varieties (a family of cyclic...

however, to be considered solely as a formula. The formulas of propositional calculus, also called propositional formulas, are expressions such as ( A ∧ ( B...