sequent
IPA: sˈikwʌnt
noun
- Something that follows in a given sequence.
- (logic) A disjunctive set of logical formulae which is partitioned into two subsets; the first subset, called the antecedent, consists of formulae which are valuated as false, and the second subset, called the succedent, consists of formulae which are valuated as true. (The set is written without set brackets and the separation between the two subsets is denoted by a turnstile symbol, which may be read "give(s)".)
- (obsolete) A follower.
- (mathematics) A sequential calculus
adjective
- (obsolete) That comes after in time or order; subsequent.
- (now rare) That follows on as a result, conclusion etc.; consequent to, on, upon.
- Recurring in succession or as a series; successive, consecutive.
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Examples of "sequent" in Sentences
- Every body know their truth by sequent 12 on Thursday, Sep 3, 2009 at 2: 00: 12 AM
- Ketonen wanted to formulate Skolem's formal rules of proof within sequent calculus.
- With Kleene's book, Gentzen's sequent calculi became generally known and accessible.
- The ten thralls answered him with one mouth and in sequent words, saying, Whatso thou biddest us,
- Inside the magazine, she is shown wearing a range of outfits, including a sequent top and leather pants.
- A cut with such a sequent as one premiss has the other premiss equal to the conclusion and can therefore be deleted.
- He therefore invented another logical calculus that he called sequent calculus (Sequenzenkalkul, literally “calculus of sequences”) and made it the central topic of his thesis.
- If at any stage of this “reduction process” the conclusion of a sequent is a compound formula, you have to consider any conjunct or any instance of universal quantification as a possible conclusion.
- Ketonen's idea was to define a system of proof search: one starts from a given sequent to be derived, chooses a formula in it, and writes the premisses of a rule that can conclude the given sequent.
- Failure of the aims of Hilbert through Gödel's incompleteness theorems; Gentzen's creation of the two main types of logical systems of contemporary proof theory, natural deduction and sequent calculus
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