mathematical logic, a Lindström quantifier is a generalized polyadic quantifier. Lindström quantifiers generalize first-order quantifiers, such as the existential...
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In logic, a conditional quantifier is a kind of Lindström quantifier (or generalized quantifier) QA that, relative to a classical model A, satisfies some...
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In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least...
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In mathematical logic, Lindström's theorem (named after Swedish logician Per Lindström, who published it in 1969) states that first-order logic is the...
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"Pelle" Lindström (9 April 1936 – 21 August 2009, Gothenburg) was a Swedish logician, after whom Lindström's theorem and the Lindström quantifier are named...
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semantics of quantified noun phrases Lindström quantifier — a generalized polyadic quantifier Quantifier shift "Predicates and Quantifiers". Oak Ridge...
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In logic a branching quantifier, also called a Henkin quantifier, finite partially ordered quantifier or even nonlinear quantifier, is a partial ordering...
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A counting quantifier is a mathematical term for a quantifier of the form "there exists at least k elements that satisfy property X". In first-order logic...
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Scope (formal semantics) Lindström quantifier Branching quantifier Montague, Richard (1974). "The proper treatment of quantification in English". In Kulas...
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function is obtained by changing the universal quantifier into an existential quantifier and negating the quantified formula. That is, ¬ ∀ x P ( x ) is equivalent...
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services company Carl Lindström Company, a global record company Lindström quantifier, a family of sets in mathematical logic Lindström's theorem, a mathematical...
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First-order logic (redirect from Quantification theory)
"for all x, if x is a man, then x is mortal"; where "for all x" is a quantifier, x is a variable, and "... is a man" and "... is mortal" are predicates...
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255–274. Per Lindström, First Order Predicate Logic with Generalized Quantifiers, Theoria 32, 1966, 186–195. (Lindström quantifiers) Per Lindström, On Extensions...
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constraint on learnability. Jon Barwise Lindström quantifier Universal grammar Dag, Westerståhl (2016). "Generalized Quantifiers". In Aloni, Maria; Dekker, Paul...
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First-order logic Infinitary logic Many-sorted logic Higher-order logic Lindström quantifier Second-order logic Soundness theorem Gödel's completeness theorem...
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different quantifier ranks, when they express the same thing in different ways. Let φ {\displaystyle \varphi } be a first-order formula. The quantifier rank...
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pp. 127–135.. Burtschick, Hans-Jörg; Vollmer, Heribert (1998). "Lindström quantifiers and leaf language definability". Int. J. Found. Comput. Sci. 9 (3):...
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certain condition. This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the...
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Well-formed formula (redirect from Quantifier-free formula)
is called quantifier-free. An existential formula is a formula starting with a sequence of existential quantification followed by a quantifier-free formula...
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quantifier M {\displaystyle M} is used as follows: given a formula with exactly one free variable ϕ ( x ) {\displaystyle \phi (x)} , the quantified M...
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Negation (redirect from Quantifier negation)
are two quantifiers, one is the universal quantifier ∀ {\displaystyle \forall } (means "for all") and the other is the existential quantifier ∃ {\displaystyle...
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Truth-value semantics (redirect from Substitutional quantification)
(of the quantifiers) or substitutional quantification. The idea of these semantics is that a universal (respectively, existential) quantifier may be read...
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related to occurrence, expansion, isomorphism, renaming and quantification. Based on Lindström's characterization, first-order logic is, up to equivalence...
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Entscheidungsproblem (section Quantifier prefix)
Any first-order formula has a prenex normal form. For each possible quantifier prefix to the prenex normal form, we have a fragment of first-order logic...
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Model theory (section Eliminating quantifiers)
quantifier elimination, every definable subset of an algebraically closed field is definable by a quantifier-free formula in one variable. Quantifier-free...
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Higher-order logic (section Quantification scope)
standard or full semantics, quantifiers over higher-type objects range over all possible objects of that type. For example, a quantifier over sets of individuals...
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sentence like Cube(b) and obtain a quantified sentence by replacing the name with a variable and attaching a quantifier: ∃ x C u b e ( x ) {\displaystyle...
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theorem and Quantifier elimination. Current implementations of decision procedures for the theory of real closed fields are often based on quantifier elimination...
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intervals and points. O-minimality can be regarded as a weak form of quantifier elimination. A structure M is o-minimal if and only if every formula with...
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∨ ∧ → ↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol...
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