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Sequent calculus

💡 Words with a Similar Meaning to "Sequent calculus"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
sequentnounSomething that follows in a given sequence.
natural deductionnounA kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the "natural" way of reasoning, in contrast to axiomatic systems.
logical calculusnoun(logic) A formal system.
succedentnoun(logic) The formulas on the right-hand side of a sequent.
hypersequentnoun(mathematics) A multidimensional generalization of a sequent
inference rulenoun(logic, proof theory) A rule for combining (or modifying) well-formed formulas of a formal language in a truth-preserving manner (to yield new well-formed formulas).
infinite regressnoun(logic) A regress into an infinite sequence of propositions in an attempt to found the truth of the proposition Pᵢ on the truth of the proposition Pᵢ₊₁.
formal logicnoun(logic) Mathematical logic.
quasiderivation
linear logicnoun(logic) A logic in which two structural rules are missing from its sequent calculus: those for weakening and contraction; which has some extra logical connectives, so that it has both "additive" and "multiplicative" versions of the typical binary connectives and truth constants; and which has a pair of modal, "exponential" operators for resource management, to help make up for the loss of the two structural rules.
proof systemnoun(logic) A set of axioms and a set of inference rules which are jointly used to deduce tautologies, thereby providing proofs of them.
sentential calculusnounSynonym of propositional calculus.
forward reasoningnoun(philosophy, logic) In artificial intelligence, modus ponens.
inductionnounAn act of inducting.
propositional calculusnoun(logic) Propositional logic.
mathematical inductionnoun(mathematics) A method of proof which, in terms of a predicate P, could be stated as: if P(0) is true and if for any natural number n>0, P(n) implies P(n+1), then P(n) is true for any natural number n.
predicate calculusnoun(logic) The branch of logic that deals with quantified statements such as "there exists an x such that..." or "for any x, it is the case that...", where x is a member of the domain of discourse.
second-order logicnounA formal system which extends first-order logic by allowing quantification over relations between members of the universe.
logicnoun(uncountable) A method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved. Logic is the basis of many principles including the scientific method.
deductionnounA sum that can be removed in tax calculations, usually from the taxable amount; something that is written off.

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