Reports on Mathematical Logic

No. 35

George Georgescu

Some model theory for probability structures

A b s t r a c t. In this paper we study some model theory for Gaifman probability structures. A classical result of Horn-Tarski concerning the extension of probabilities on Boolean algebras will allow us to prove some preservation theorems for probability structures, the model-companion of logical probability, etc. extending some classical results in eastern model theory.\\[0.2cm] Mathematics Subject Classification: 03C20, 03C90, 28A60.\\[0.2cm] Keywords: Gaifman probability structure, existentially closed probability structure, inductive probability, model-companion of a probability.

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