{
  "id": "math/0612244",
  "version": "v1",
  "published": "2006-12-09T19:47:05.000Z",
  "updated": "2006-12-09T19:47:05.000Z",
  "title": "On Weak and Strong Interpolation in Algebraic Logics",
  "authors": [
    "Gabor Sagi",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "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",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-09T19:47:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic logic",
      "strong interpolation",
      "craigs interpolation theorem holds",
      "finite dimensional representable cylindric algebras",
      "strong amalgamation property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12244S"
    }
  }
}