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The Robinson property and amalgamations of higher arities

Mathematical Logic Quarterly 62 (4-5):427-433 (2016)

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On Weak and Strong Interpolation in Algebraic Logics.Gábor Sági & Saharon Shelah - 2006 - Journal of Symbolic Logic 71 (1):104 - 118.details We show that there is a restriction, or modification of the finite-variable fragments of First Order Logic in which a weak form of Craig's Interpolation Theorem holds but a strong form of this theorem does not hold. Translating these results into Algebraic Logic we obtain a finitely axiomatizable subvariety of finite dimensional Representable Cylindric Algebras that has the Strong Amalgamation Property but does not have the Superamalgamation Property. This settles a conjecture of Pigozzi [12]. Download Export citation Bookmark 13 citations
Interpolation property and homogeneous structures.Z. Gyenis - 2014 - Logic Journal of the IGPL 22 (4):597-607.details Download Export citation Bookmark 3 citations
A note on algebras of substitutions.Gábor Sági - 2002 - Studia Logica 72 (2):265-284.details We will study the class RSA of -dimensional representable substitution algebras. RSA is a sub-reduct of the class of representable cylindric: algebras, and it was an open problem in Andréka [1] that whether RSA can be finitely axiomatized. We will show, that the answer is positive. More concretely, we will prove, that RSA is a finitely axiomatizable quasi-variety. The generated variety is also described. We note that RSA is the algebraic counterpart of a certain proportional multimodal logic and it is (...) Download Export citation Bookmark 3 citations

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