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searching for Universal quantification 26 found (81 total)

alternate case: universal quantification

Positive set theory (573 words) [view diff] exact match in snippet view article find links to article

formulas and closed under conjunction, disjunction, existential and universal quantification). Typically, the motivation for these theories is topological:

Empty domain (546 words) [view diff] exact match in snippet view article find links to article

iff that element has the property denoted by the open formula. A universal quantification of an open formula φ is true in a model iff every element in the

Intuitionistic logic (8,022 words) [view diff] no match in snippet view article find links to article

Intuitionistic logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical

ΛProlog (632 words) [view diff] exact match in snippet view article find links to article

implications and universal quantification. Implication is used for local scoping of predicate definitions while universal quantification is used for local

Data type (3,407 words) [view diff] exact match in snippet view article find links to article

and existentially-quantified types are based on predicate logic. Universal quantification is written as ∀ x . f ( x ) {\displaystyle \forall x.f(x)} or forall

Boole's expansion theorem (1,234 words) [view diff] exact match in snippet view article find links to article

{\frac {\partial F}{\partial x}}=F_{x}\oplus F_{x'}} Universal quantification: The universal quantification of F is defined as: ∀ x F = F x ⋅ F x ′ {\displaystyle

Sixth normal form (924 words) [view diff] case mismatch in snippet view article find links to article

Language". Zimanyi, E. (June 2006). "Temporal Aggregates and Temporal Universal Quantification in Standard SQL" (PDF). ACM SIGMOD Record, volume 35, number 2

Almost everywhere (1,261 words) [view diff] exact match in snippet view article find links to article

with this mode of reasoning because of the third bullet above: universal quantification over uncountable families of statements is valid for ordinary points

Typed lambda calculus (738 words) [view diff] exact match in snippet view article find links to article

arithmetic are definable. System F allows polymorphism by using universal quantification over all types; from a logical perspective it can describe all

Dynamic semantics (1,853 words) [view diff] exact match in snippet view article find links to article

in non-donkey contexts normally express existential rather than universal quantification. Second, the syntactic position of the donkey pronoun would not

Simply typed lambda calculus (4,587 words) [view diff] exact match in snippet view article find links to article

abstraction and scope, as well as four constants: negation, disjunction, universal quantification, and selection respectively; and also, a finite set of rules I

Branching quantifier (1,543 words) [view diff] exact match in snippet view article find links to article

namely to test whether their natural-language negation involves universal quantification over a set variable (a Π 1 1 {\displaystyle \Pi _{1}^{1}} sentence)

ATS (programming language) (2,266 words) [view diff] exact match in snippet view article

FACT (n-1, r1) and MUL (n, r1, r) forall n > 0 To remember: {...} universal quantification [...] existential quantification (... | ...) (proof | value) @(

Kamayurá language (2,608 words) [view diff] exact match in snippet view article find links to article

distinctions, the root -pap “end, finish, complete” expresses universal quantification associated to the subject arguments of the transitive verbs and

Karitiâna language (3,597 words) [view diff] exact match in snippet view article find links to article

woman work a.lot SUB ‘There are many women that work a lot’ : 4 Universal quantification is conveyed by the expression (ta)akatyym, where -ta is a third

Type system (7,205 words) [view diff] exact match in snippet view article find links to article

calculus similar to System F, but with existential instead of universal quantification. In a type system with Gradual typing, variables may be assigned

History of type theory (2,823 words) [view diff] exact match in snippet view article find links to article

'any': 'all' is expressed by the bound ('apparent') variable of universal quantification, which ranges over a type, and 'any' is expressed by the free ('real')

Lambda cube (3,237 words) [view diff] exact match in snippet view article find links to article

=\Pi \alpha :*.\alpha } . If one reads Π {\textstyle \Pi } as a universal quantification, via the Curry-Howard isomorphism, this can be seen as a proof

Fixed-point combinator (5,183 words) [view diff] exact match in snippet view article find links to article

( f x = x ) {\displaystyle \forall x(f\ x=x)} In contrast to universal quantification over all x {\displaystyle x} , a fixed-point combinator constructs

Suppes–Lemmon notation (2,010 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Ra} on line a, one can cite "a UI" to justify a universal quantification, ( ∀ x ) R x {\displaystyle (\forall x)Rx} , provided none of the

Heyting arithmetic (6,285 words) [view diff] exact match in snippet view article find links to article

schema of commutativity of " ¬ ¬ {\displaystyle \neg \neg } " with universal quantification over all numbers. This is an interesting breakdown that is explained

Laws of Form (6,798 words) [view diff] exact match in snippet view article find links to article

B | ¯ {\displaystyle {\overline {A|}}\ \ {\overline {B|}}} ), universal quantification, and one binary atomic formula, denoting set membership. This is

Church's thesis (constructive mathematics) (2,657 words) [view diff] exact match in snippet view article

example. Principles like the double negation shift (commutativity of universal quantification with a double negation) are also rejected by the principle. The

Dale Miller (academic) (1,356 words) [view diff] exact match in snippet view article

that negation as failure forces a distinction between generic and universal quantification. They introduced the ∇-quantifier to capture the generic quantifier

Dialogical logic (5,226 words) [view diff] exact match in snippet view article find links to article

1007/978-1-4020-9374-6. ISBN 978-1-4020-9373-9. Marion, M. (2015). "Aristotle on universal quantification: a study from the perspective of game semantics". History and Philosophy

History of the function concept (10,688 words) [view diff] exact match in snippet view article find links to article

the five operations [logical conjunction, disjunction, negation, universal quantification, and existential quantification]. van Heijenoort summarizes: "A