mathematical logic, a Lindström quantifier is a generalized polyadic quantifier. Lindström quantifiers generalize first-order quantifiers, such as the existential...
7 KB (1,189 words) - 09:35, 8 February 2022
In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least...
10 KB (1,536 words) - 06:09, 7 April 2024
used as standard semantics of quantified noun phrases Lindström quantifier — a generalized polyadic quantifier Quantifier shift Kashef, Arman. (2023),...
31 KB (4,537 words) - 17:47, 1 May 2024
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...
2 KB (276 words) - 10:16, 5 July 2024
"Pelle" Lindström (9 April 1936 – 21 August 2009, Gothenburg) was a Swedish logician, after whom Lindström's theorem and the Lindström quantifier are named...
2 KB (230 words) - 00:47, 25 December 2023
services company Carl Lindström Company, a global record company Lindström quantifier, a family of sets in mathematical logic Lindström's theorem, a mathematical...
820 bytes (123 words) - 23:43, 21 August 2020
In mathematical logic, Lindström's theorem (named after Swedish logician Per Lindström, who published it in 1969) states that first-order logic is the...
4 KB (386 words) - 20:20, 15 January 2022
In logic a branching quantifier, also called a Henkin quantifier, finite partially ordered quantifier or even nonlinear quantifier, is a partial ordering...
9 KB (1,543 words) - 12:48, 6 February 2023
function is obtained by changing the universal quantifier into an existential quantifier and negating the quantified formula. That is, ¬ ∀ x P ( x ) is equivalent...
15 KB (2,468 words) - 17:06, 21 March 2023
Scope (formal semantics) Lindström quantifier Branching quantifier Montague, Richard (1974). "The proper treatment of quantification in English". In Kulas...
10 KB (1,504 words) - 04:48, 22 April 2024
In logic, a conditional quantifier is a kind of Lindström quantifier (or generalized quantifier) QA that, relative to a classical model A, satisfies some...
3 KB (248 words) - 09:32, 8 February 2022
First-order logic Infinitary logic Many-sorted logic Higher-order logic Lindström quantifier Second-order logic Soundness theorem Gödel's completeness theorem...
14 KB (1,012 words) - 19:53, 12 November 2023
First-order logic (redirect from Quantification theory)
"there exists" is a quantifier, while x is a variable. This distinguishes it from propositional logic, which does not use quantifiers or relations; in this...
93 KB (13,074 words) - 19:30, 18 June 2024
constraint on learnability. Jon Barwise Lindström quantifier Universal grammar Dag, Westerståhl (2016). "Generalized Quantifiers". In Aloni, Maria; Dekker, Paul...
4 KB (505 words) - 11:47, 20 June 2024
certain condition. This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the...
6 KB (804 words) - 15:49, 22 May 2024
Zbl 0931.68055. Burtschick, Hans-Jörg; Vollmer, Heribert (1998). "Lindström quantifiers and leaf language definability". International Journal of Foundations...
4 KB (555 words) - 01:46, 4 May 2024
255–274. Per Lindström, First Order Predicate Logic with Generalized Quantifiers, Theoria 32, 1966, 186–195. (Lindström quantifiers) Per Lindström, On Extensions...
4 KB (317 words) - 20:32, 29 June 2024
equivalent formulae can have different quantifier ranks, when they express the same thing in different ways. Quantifier Rank of a Formula in First-order language...
3 KB (515 words) - 08:28, 4 March 2024
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...
19 KB (2,231 words) - 14:52, 3 July 2024
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...
19 KB (2,157 words) - 23:10, 1 July 2024
pp. 127–135.. Burtschick, Hans-Jörg; Vollmer, Heribert (1998). "Lindström quantifiers and leaf language definability". Int. J. Found. Comput. Sci. 9 (3):...
16 KB (2,351 words) - 18:55, 31 May 2024
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...
62 KB (9,048 words) - 21:05, 25 June 2024
sentence like Cube(b) and obtain a quantified sentence by replacing the name with a variable and attaching a quantifier: ∃x Cube(x) However, we cannot do...
32 KB (4,399 words) - 12:11, 1 July 2024
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...
9 KB (1,061 words) - 10:50, 5 December 2023
related to occurrence, expansion, isomorphism, renaming and quantification. Based on Lindström's characterization, first-order logic is, up to equivalence...
1 KB (145 words) - 02:56, 12 December 2023
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...
19 KB (2,624 words) - 16:58, 24 February 2024
Power set (section Functors and quantifiers)
In category theory and the theory of elementary topoi, the universal quantifier can be understood as the right adjoint of a functor between power sets...
20 KB (2,425 words) - 23:34, 3 April 2024
nearly 20 years earlier by physician and scientist Erik Odeblad and Gunnar Lindström. Among many other researchers in the late 1970s and 1980s, Peter Mansfield...
34 KB (3,714 words) - 17:04, 9 June 2024
First-order predicate logic uses rules of inference to deal with logical quantifiers. In formal logic (and many related areas), rules of inference are usually...
11 KB (1,469 words) - 09:38, 23 October 2023
called "primitive recursive arithmetic with the additional principle of quantifier-free transfinite induction up to the ordinal ε0", is neither weaker nor...
15 KB (1,959 words) - 00:39, 23 June 2024