{ "id": "1108.6315", "version": "v3", "published": "2011-08-31T18:37:42.000Z", "updated": "2011-11-07T19:26:09.000Z", "title": "Dp-rank and forbidden configurations", "authors": [ "Hunter Johnson" ], "comment": "14 pages. This is a revised and extended version of \"A note on dp-rank\"", "categories": [ "math.LO" ], "abstract": "A theory $T$ is shown to have an ICT pattern of depth $k$ in variables $\\xbar$ iff it interprets some $k$-maximum VC class in $|\\xbar|$ parameters.", "revisions": [ { "version": "v3", "updated": "2011-11-07T19:26:09.000Z" } ], "analyses": { "subjects": [ "12L12", "03C45", "03C98" ], "keywords": [ "forbidden configurations", "maximum vc class", "parameters", "interprets" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1108.6315J" } } }