The elementary theory of e-free PAC domains

Annals of Pure and Applied Logic 103 (1-3):55-95 (2000)
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Abstract

We prove that the theory of all sentences in the language of rings which are true in for almost all is decidable. Here is the field of all algebraic numbers; is the ring of all algebraic integers; is the absolute Galois group of ; for each , is the fixed field of σ1,…,σe in ; and the clause ‘almost all’ is used in the sense of the Haar measure of

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10.1016/s0168-0072(99)00023-8

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