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Titlebook: Cylindric-like Algebras and Algebraic Logic; Hajnal Andréka,Miklós Ferenczi,István Németi Book 2013 Springer-Verlag Berlin Heidelberg 2013

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Cylindric Probability Algebrast we are looking for the quantity of those . ∈ . for which φ[.] is true. Of course, the mathematical discipline for these considerations is probability theory. The logic suitable for this kind of reasoning was introduced by H. J. Keisler in 1976. This logic has formulas similar to those of .. ⊆ .. (
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Sarah M. Keep,Erica Bickerton,Paul Britton is equal to the converse of its converse). Ideally, our set G of equations will be ., so that any equation valid over fields of relations of a certain rank equipped with the chosen set-theoretically definable operators will be entailed by Γ.
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Yi-Ning Chen,Ching Ching Wu,Tsang Long Linholds for certain modifications of first order logic, be it reducts or expansions, like .. (first order logic restricted to finitely many . variables) and the extensions of first order logic studied in [Hen-Mon-Tar,85] Sec. 4.3, which are essentially finitary but have an infinitary flavour.
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