In the paper it is considered a probabilistic logic of programs PrAL, similar to the Feldman-Harel logic, constructed for expressing properties of iterative programs with operations x : = ?, either … or … interpreted in a probabilistic way. A language of PrAL contains a sort of variables interpreted as real numbers, used to describe probabilities of behaviours of programs. The main result states that the set of formulas of PrAL valid in a finite structure is decidable with respect to the diagram of the structure.
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