{ "id": "1606.04194", "version": "v1", "published": "2016-06-14T02:51:31.000Z", "updated": "2016-06-14T02:51:31.000Z", "title": "Cut-elimination for SBL", "authors": [ "Toshiyasu Arai" ], "categories": [ "math.LO" ], "abstract": "In this paper we give a terminating cut-elimination procedure for a logic calculus SBL. SBL corresponds to the second order arithmetic Pi^{1}_{2}-Separation and Bar Induction.", "revisions": [ { "version": "v1", "updated": "2016-06-14T02:51:31.000Z" } ], "analyses": { "subjects": [ "03F05" ], "keywords": [ "second order arithmetic", "logic calculus sbl", "terminating cut-elimination procedure", "bar induction", "sbl corresponds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }