Rašković, M.; Djordjević, R. S.; Bradić, M. Weak cylindric probability algebras. (English) Zbl 0943.03054 Publ. Inst. Math., Nouv. Sér. 61(75), 6-16 (1997). The weak probability logic \(L_{\mathcal {AP}\forall}\) is the minimal extension of the probability logic \(L_{\mathcal {AP}}\) [see H. J. Keisler, “Probability quantifier”, in: J. Barwise et al. (eds.), Model-theoretic logics (Springer, New York), 509-556 (1985; Zbl 0587.03002)] and the infinitary logic \(L_{\mathcal A}\) [see J. Barwise, Admissible sets and structures (Springer, Berlin) (1975; Zbl 0316.02047)]. In this paper the authors introduce the notion of a locally finite-dimensional weak cylindric probability algebra as an algebraic analogue of the weak probability logic \(L_{\mathcal A\mathcal P\forall}\) and prove a kind of the corresponding representation theorem. Reviewer: Branislav Boričić (Novi Beograd) Cited in 1 Review MSC: 03G15 Cylindric and polyadic algebras; relation algebras 03B48 Probability and inductive logic 03C70 Logic on admissible sets 03C80 Logic with extra quantifiers and operators Keywords:weak probability logic; weak cylindric probability algebra Citations:Zbl 0587.03002; Zbl 0316.02047 PDFBibTeX XMLCite \textit{M. Rašković} et al., Publ. Inst. Math., Nouv. Sér. 61(75), 6--16 (1997; Zbl 0943.03054)