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What (who) is axiomatic closure - definition

SET OF AXIOMS FROM WHICH SOME OR ALL AXIOMS CAN BE USED IN CONJUNCTION TO LOGICALLY DERIVE THEOREMS

Axiomatization; Axiomatisation; Axiomatic method; Axiomatic framework; Axiom system; Axiomatic reasoning; Hilbert-style calculi; Axiomatic theory; Axiomatic definition; Axiomatic approach; Axiomatic logic; Axiomatic proof; Axiomatic System

Closure (computer programming)

TECHNIQUE FOR CREATING LEXICALLY SCOPED FIRST CLASS FUNCTIONS

Closure (programming); Lexical closure; Closure (Computer Science); Lexical closures; Closure (computing); Upvalue; Function closure; Function closures; Closures (computer science); Closure (computer science); Local classes in Java

In programming languages, a closure, also lexical closure or function closure, is a technique for implementing lexically scoped name binding in a language with first-class functions. Operationally, a closure is a record storing a function together with an environment.

https://en.wikipedia.org/wiki/Closure_(computer_programming)

Kuratowski closure axioms

MATHEMATICAL CONCEPT

Kuratowski closure axiom; Kuratowski closure operator; Kuratowski closure; Closure axioms; Kuratowski's closure axioms

In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms that can be used to define a topological structure on a set. They are equivalent to the more commonly used open set definition.

https://en.wikipedia.org/wiki/Kuratowski_closure_axioms

Closure (topology)

IN A TOPOLOGICAL SPACE, THE SMALLEST CLOSED SET CONTAINING A GIVEN SET

Topological closure; Topologically closed; Closure of a set; Set closure

In topology, the closure of a subset of points in a topological space consists of all points in together with all limit points of . The closure of may equivalently be defined as the union of and its boundary, and also as the intersection of all closed sets containing .

https://en.wikipedia.org/wiki/Closure_(topology)

Wikipedia

Axiomatic system

In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems. An axiomatic system that is completely described is a special kind of formal system. A formal theory is an axiomatic system (usually formulated within model theory) that describes a set of sentences that is closed under logical implication. A formal proof is a complete rendition of a mathematical proof within a formal system.

https://en.wikipedia.org/wiki/Axiomatic system