{ "id": "1007.0844", "version": "v1", "published": "2010-07-06T09:37:11.000Z", "updated": "2010-07-06T09:37:11.000Z", "title": "Proof theory for theories of ordinals III: $Π_{N}$-reflection", "authors": [ "Toshiyasu Arai" ], "categories": [ "math.LO" ], "abstract": "This paper deals with a proof theory for a theory of $\\Pi_{N}$-reflecting ordinals using a system of ordinal diagrams. This is a sequel to the previous one(APAL 129)in which a theory for $\\Pi_{3}$-reflection is analysed proof-theoretically.", "revisions": [ { "version": "v1", "updated": "2010-07-06T09:37:11.000Z" } ], "analyses": { "subjects": [ "03F35" ], "keywords": [ "proof theory", "reflection", "paper deals" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1007.0844A" } } }