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Weak probability polyadic algebras. (English) Zbl 1048.03051
The class of weak probability polyadic algebras is described. The algebras correspond to the weak probability logic with infinite predicates. The authors are motivated by a connection between Boolean algebras, cylindric algebras, Keisler’s $$K(V,\nu,m)$$-logic and polyadic algebras. The representation theorem is proved for the considered class of algebras.

##### MSC:
 03G15 Cylindric and polyadic algebras; relation algebras 03B48 Probability and inductive logic 03C75 Other infinitary logic 03C80 Logic with extra quantifiers and operators