sequent

== English == === Etymology === 1550s; borrowed from Middle French sequent, from Old French sequent, itself borrowed from Latin sequentem, present participle of sequī (“to follow”). === Pronunciation === (UK) IPA(key): /ˈsiːkwənt/ Rhymes: -iːkwənt === Adjective === sequent (comparative more sequent, superlative most sequent) (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. ==== Related terms ==== sequence ==== Translations ==== === Noun === sequent (plural sequents) 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)".) A sequent a , b ⊢ c , d {\displaystyle a,b\vdash c,d} could be interpreted to correspond to an Existential Graph, whose expression in Existential Graph Interchange Format would be ~[(a) (b) ~[(c)] ~[(d)]], which in ordinary language could be expressed as "a and b give c or d". (obsolete) A follower. (mathematics) A sequential calculus ==== Derived terms ==== hypersequent sequent calculus ==== Related terms ==== ==== Translations ==== === References === === Further reading === “sequent”, in Webster’s Revised Unabridged Dictionary, Springfield, Mass.: G. & C. Merriam, 1913, →OCLC. William Dwight Whitney, Benjamin Eli Smith, editors (1895–1910), “sequent”, in The Century Dictionary and Cyclopedia: […], New York, N.Y.: The Century Co., →OCLC.