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mathematical logic > proof theory > sequent calculus

Preferred term

sequent calculus  

Definition

  • In mathematical 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 Gentzen) instead of an unconditional tautology. Each conditional tautology is inferred from other conditional tautologies on earlier lines in a formal argument according to rules and procedures of inference, giving a better approximation to the natural style of deduction used by mathematicians than to David Hilbert's earlier style of formal logic, in which every line was an unconditional tautology. More subtle distinctions may exist; for example, propositions may implicitly depend upon non-logical axioms. In that case, sequents signify conditional theorems in a first-order language rather than conditional tautologies.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Sequent_calculus)

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http://data.loterre.fr/ark:/67375/PSR-BLJN8T0M-6

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