Bernays–Schönfinkel class

id: bernays-sch-nfinkel-class-313-9876992
title: Bernays–Schönfinkel class
text: The Bernays–Schönfinkel class of formulas, named after Paul Bernays, Moses Schönfinkel and Frank P. Ramsey, is a fragment of first-order logic formulas where satisfiability is decidable. It is the set of sentences that, when written in prenex normal form, have an ∃ ∗ ∀ ∗ quantifier prefix and do not contain any function symbols. Ramsey proved that, if ϕ is a formula in the Bernays–Schönfinkel class with one free variable, then either { x ∈ N : ϕ }  :\phi (x)\}} is finite, or { x ∈ N : ¬ ϕ }  :\n
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original url: https://en.wikipedia.org/wiki/Bernays%E2%80%93Sch%C3%B6nfinkel_class
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date modified: 2024-01-25T21:57:02Z
main entity: {"identifier":"Q4894025","url":"https://www.wikidata.org/entity/Q4894025"}
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