EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 65(79), pp. 8--16 (1999)

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Weak probability logic with infinitary predicates

S. Marinkovi\'c, M. Ra\v skovi\'c and R. Djordjevi\'c

Prirodno-matemati\v cki fakultet, Kragujevac, Yugoslavia

Abstract: We construct the logic $L(V,\nu,\frak{m},R)$, as a logic with infinitary predicates, generalized ordinary and probability quantifiers and propositional connectives. An important feature of this logic is that infinitely many variables can occur in a single formula, but only finitely many quantifiers and connectives. We prove the weak completeness theorem for this logic.

Classification (MSC2000): 03C70

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