On Weak and Strong Interpolation in Algebraic Logics
逻辑
2007-05-23 v1
摘要
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
引用
@article{arxiv.math/0612244,
title = {On Weak and Strong Interpolation in Algebraic Logics},
author = {Gabor Sagi and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0612244},
year = {2007}
}