{ "id": "1807.11848", "version": "v1", "published": "2018-07-31T15:00:41.000Z", "updated": "2018-07-31T15:00:41.000Z", "title": "Interpolation in extensions of first-order logic", "authors": [ "Guido Gherardi", "Paolo Maffezioli", "Eugenio Orlandelli" ], "categories": [ "math.LO" ], "abstract": "We provide a constructive proof of the interpolation theorem for extensions of classical first order logic with a special type of geometric axioms, called singular geometric axioms. As a corollary, we obtain a direct proof of interpolation for first-order logic with identity.", "revisions": [ { "version": "v1", "updated": "2018-07-31T15:00:41.000Z" } ], "analyses": { "keywords": [ "first-order logic", "extensions", "singular geometric axioms", "classical first order logic", "special type" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }