{ "id": "2002.04855", "version": "v1", "published": "2020-02-12T09:11:12.000Z", "updated": "2020-02-12T09:11:12.000Z", "title": "Labelled calculi for quantified modal logics with definite descriptions", "authors": [ "Eugenio Orlandelli" ], "categories": [ "math.LO", "cs.LO" ], "abstract": "We introduce labelled sequent calculi for quantified modal logics with definite descriptions. We prove that these calculi have the good structural properties of G3-style calculi. In particular, all rules are height-preserving invertible, weakening and contraction are height-preserving admissible and cut is admissible. Finally, we show that each calculus gives a proof-theoretic characterization of validity in the corresponding class of models.", "revisions": [ { "version": "v1", "updated": "2020-02-12T09:11:12.000Z" } ], "analyses": { "keywords": [ "quantified modal logics", "definite descriptions", "labelled calculi", "labelled sequent calculi", "structural properties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }