{ "id": "1602.02301", "version": "v1", "published": "2016-02-06T20:08:34.000Z", "updated": "2016-02-06T20:08:34.000Z", "title": "Classical theorems in the Implicational Propositional Calculus", "authors": [ "P. L. Robinson" ], "categories": [ "math.LO" ], "abstract": "For formulas of the Implicational Propositional Calculus (IPC) that are theorems of the classical Propositional Calculus (PC) we show that PC proofs yield IPC proofs. As a consequence, completeness of PC yields completeness of IPC.", "revisions": [ { "version": "v1", "updated": "2016-02-06T20:08:34.000Z" } ], "analyses": { "subjects": [ "03B05", "03B20" ], "keywords": [ "implicational propositional calculus", "classical theorems", "pc proofs yield ipc proofs", "pc yields completeness", "classical propositional calculus" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }