quantifier form
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Quantifier elimination — is a technique in mathematical logic, model theory, and theoretical computer science.We say that a given theory has quantifier elimination if for every sentence with quantification there exists an equivalent (modulo the theory) sentence without… … Wikipedia
quantifier — Informally, a quantifier is an expression that reports a quantity of times that a predicate is satisfied in some class of things (i.e. in a ‘domain’). Thus, thinking about a class of children and their diets, one might report that some eat cake,… … Philosophy dictionary
quantifier shift fallacy — A fallacy of reversing the order of two quantifiers . The common form is that of moving from a statement of the form ‘every x has a related y ’ to one of the form ‘there is some y related to every x ’. An easily detected instance would be… … Philosophy dictionary
Skolem normal form — A formula of first order logic is in Skolem normal form (named after Thoralf Skolem) if it is in conjunctive prenex normal form with only universal first order quantifiers. Every first order formula can be converted into Skolem normal form while… … Wikipedia
Prenex normal form — A formula of the predicate calculus is in prenex[1] normal form if it is written as a string of quantifiers followed by a quantifier free part (referred to as the matrix). Every formula in classical logic is equivalent to a formula in prenex… … Wikipedia
Pro-form — A pro form is a type of function word or expression that stands in for (expresses the same content as) another word, phrase, clause or sentence where the meaning is recoverable from the context. They are used either to avoid repetitive… … Wikipedia
Bounded quantifier — In the study of formal theories in mathematical logic, bounded quantifiers are often added to a language. These are two quantifiers in addition to forall and exists. They are motivated by the fact that determining whether a sentence with only… … Wikipedia
prenex normal form — ˈprēˌneks noun Etymology: Late Latin praenexus tied up or bound in front, from Latin prae pre + nexus, past participle of nectere to tie, bind more at annex : a normal form of an expression in the functional calculus in which all the quantifiers… … Useful english dictionary
formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction the abstract study of propositions, statements, or assertively used … Universalium
Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… … Wikipedia
First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… … Wikipedia
