{ "id": "1901.11011", "version": "v1", "published": "2019-01-30T04:40:07.000Z", "updated": "2019-01-30T04:40:07.000Z", "title": "Definable families of theories, related calculi and ranks", "authors": [ "Nurlan Markhabatov", "Sergey Sudoplatov" ], "comment": "arXiv admin note: substantial text overlap with arXiv:1901.08464; text overlap with arXiv:1901.08961", "categories": [ "math.LO" ], "abstract": "We consider sentence-definable and diagram-definable subfamilies of given families of theories, calculi for these subfamilies, as well dynamics and characteristics of these subfamilies with respect to rank and degree.", "revisions": [ { "version": "v1", "updated": "2019-01-30T04:40:07.000Z" } ], "analyses": { "keywords": [ "related calculi", "definable families", "characteristics" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }