Deductive closure

id: deductive-closure-274-9137679
title: Deductive closure
text: In mathematical logic, a set T of logical formulae is deductively closed if it contains every formula φ that can be logically deduced from T , formally: if T ⊢ φ always implies φ ∈ T . If T is a set of formulae, the deductive closure of T is its smallest superset that is deductively closed. The deductive closure of a theory T is often denoted Ded ⁡ or Th ⁡ . This is a special case of the more general mathematical concept of closure — in particular, the deductive closure of T is exactly the closu
brand slug: wiki
category slug: encyclopedia
description: Set of logical formulae containing all formulae able to be deduced from itself
original url: https://en.wikipedia.org/wiki/Deductive_closure
date created:
date modified: 2022-06-25T07:36:36Z
main entity: {"identifier":"Q4633743","url":"https://www.wikidata.org/entity/Q4633743"}
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integrity: 14

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