{
  "id": "1310.3527",
  "version": "v1",
  "published": "2013-10-13T23:07:21.000Z",
  "updated": "2013-10-13T23:07:21.000Z",
  "title": "Enrichments of Boolean Algebras: a uniform treatment of some classical and some novel examples",
  "authors": [
    "Jamshid Derakhshan",
    "Angus Macintyre"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We give a unified treatment of the model theory of various enrichments of infinite atomic Boolean algebras, with special attention to quantifier-eliminations, complete axiomatizations and decidability. A classical example is the enrichment by a predicate for the ideal of finite sets, and a novel one involves predicates giving congruence conditions on the cardinality of finite sets. We focus on three examples, and classify them by expressive power.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-13T23:07:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06E05",
      "06E25",
      "03C60",
      "03C10"
    ],
    "keywords": [
      "uniform treatment",
      "novel examples",
      "enrichment",
      "infinite atomic boolean algebras",
      "finite sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.3527D"
    }
  }
}