{ "id": "math/9210202", "version": "v1", "published": "1992-10-07T00:00:00.000Z", "updated": "1992-10-07T00:00:00.000Z", "title": "The Complexity of the Core Model", "authors": [ "William J. Mitchell" ], "categories": [ "math.LO" ], "abstract": "We use the Sigma^1_3 absoluteness theorem to show that the complexity of the statement \"(omega,E)$ is isomorphic to an initial segment of the core model\" is Pi^1_4, and that the complexity of the statement \"(omega,E)$ is isomorphic to a member of the core model\" is Delta^1_5.", "revisions": [ { "version": "v1", "updated": "1992-10-07T00:00:00.000Z" } ], "analyses": { "keywords": [ "core model", "complexity", "absoluteness theorem" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1992math.....10202M" } } }