{ "id": "math/9906033", "version": "v1", "published": "1999-06-05T16:52:16.000Z", "updated": "1999-06-05T16:52:16.000Z", "title": "On a generalization of property B", "authors": [ "Robert Cowen" ], "comment": "8 pages", "categories": [ "math.LO", "math.CO" ], "abstract": "A set-theoretic property called Property S is introduced as a generalization of the well-known Property B. Property S is named for A.Schrijver who first used it to formulate an equivalent of the boolean prime ideal theorem. It was independently introduced by A. Kolany to give a uniform treatment for a variety of satisfiability problems who then used a generalized resolution method to determine satisfiability. Here we further investigate Property S and the resolution method.", "revisions": [ { "version": "v1", "updated": "1999-06-05T16:52:16.000Z" } ], "analyses": { "keywords": [ "generalization", "boolean prime ideal theorem", "generalized resolution method", "satisfiability problems", "uniform treatment" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......6033C" } } }