On Weak and Strong Interpolation in Algebraic Logics
| dc.creator | Sagi, Gabor | |
| dc.creator | Shelah, Saharon | |
| dc.date | 2006-12-09 | |
| dc.date.accessioned | 2026-07-07T07:34:47Z | |
| dc.date.available | 2026-07-07T07:34:47Z | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/math/0612244 | |
| dc.identifier | http://arxiv.org/abs/math/0612244 | |
| dc.identifier | J. Symbolic Logic 71 No. 1 (2006) 104--118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119893 | |
| dc.subject | Logic | |
| dc.title | On Weak and Strong Interpolation in Algebraic Logics | |
| dc.type | text |