Definition, Meaning, Synonyms & Anagrams | English word PROPOSITIONAL

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Definitions of PROPOSITIONAL

1. Relating to, or limited to, propositions.

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Examples of Using PROPOSITIONAL in a Sentence

• In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
• In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula.
• The Bayesian interpretation of probability can be seen as an extension of propositional logic that enables reasoning with hypotheses; that is, with propositions whose truth or falsity is unknown.
• Conjunction introduction (often abbreviated simply as conjunction and also called and introduction or adjunction) is a valid rule of inference of propositional logic.
• In propositional logic, disjunctive syllogism (also known as disjunction elimination and or elimination, or abbreviated ∨E), is a valid rule of inference.
• Disjunction introduction or addition (also called or introduction) is a rule of inference of propositional logic and almost every other deduction system.
• In propositional logic, disjunction elimination (sometimes named proof by cases, case analysis, or or elimination) is the valid argument form and rule of inference that allows one to eliminate a disjunctive statement from a logical proof.
• Also called theory of knowledge, it explores different types of knowledge, such as propositional knowledge about facts, practical knowledge in the form of skills, and knowledge by acquaintance as a familiarity through experience.
• Unlike first-order logic, propositional logic does not deal with non-logical objects, predicates about them, or quantifiers.
• In Boolean functions and propositional calculus, the Sheffer stroke denotes a logical operation that is equivalent to the negation of the conjunction operation, expressed in ordinary language as "not both".
• While not entailed by the preceding conditions, contemporary discussions of classical logic normally only include propositional and first-order logics.
• In propositional logic and Boolean algebra, De Morgan's laws, also known as De Morgan's theorem, are a pair of transformation rules that are both valid rules of inference.
• Davis–Putnam–Logemann–Loveland algorithm, an algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form.
• The completeness of the propositional calculus was proved by Paul Bernays in 1918 and Emil Post in 1921, while the completeness of (first order) predicate calculus was proved by Kurt Gödel in 1930, and consistency proofs for arithmetics restricted with respect to the induction axiom schema were proved by Ackermann (1924), von Neumann (1927) and Herbrand (1931).
• Similarly, propositions can also be characterized as the objects of belief and other propositional attitudes.
• The compactness theorem for the propositional calculus is a consequence of Tychonoff's theorem (which says that the product of compact spaces is compact) applied to compact Stone spaces, hence the theorem's name.
• Implicational propositional calculus, a version of classical propositional calculus that uses only the material conditional connective.
• In propositional logic, hypothetical syllogism is the name of a valid rule of inference (often abbreviated HS and sometimes also called the chain argument, chain rule, or the principle of transitivity of implication).
• In propositional calculus, a propositional function or a predicate is a sentence expressed in a way that would assume the value of true or false, except that within the sentence there is a variable (x) that is not defined or specified (thus being a free variable), which leaves the statement undetermined.
• In a truth-functional system of propositional logic, it is one of two postulated truth values, along with its negation, truth.

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