Random models and the gödel case of the decision problem

Journal of Symbolic Logic 48 (4):1120-1124 (1983)
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Abstract

In a paper of 1933 Godel proved that every satisfiable first-order ∀ 2 ∃ * sentence has a finite model. Actually he constructed a finite model in an ingenious and sophisticated way. In this paper we use a simple and straightforward probabilistic argument to establish existence of a finite model of an arbitrary satisfiable ∀ 2 ∃ * sentence

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