explicitly definable formula

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• Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… …   Wikipedia

• Beth definability — In mathematical logic, Beth definability states that for any two models A , B of a first order theory T in the language L ⊇ L, if A | L = B | L (where A | L is the reduct of A to L ) implies that for all tuples a of A , A ⊨ φ [ a ] if and only if …   Wikipedia

• Evert Willem Beth — (July 7, 1908 ndash; April 12, 1964) was a Dutch philosopher and logician, whose work principally concerned the foundations of mathematics. Biography Beth was born in Almelo, a small town in the eastern Netherlands. His father had studied… …   Wikipedia

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• History of the Church–Turing thesis — This article is an extension of the history of the Church–Turing thesis. The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… …   Wikipedia

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