{
  "id": "1208.4803",
  "version": "v1",
  "published": "2012-08-23T17:13:05.000Z",
  "updated": "2012-08-23T17:13:05.000Z",
  "title": "The size of a formula as a measure of complexity",
  "authors": [
    "Lauri Hella",
    "Jouko Väänänen"
  ],
  "comment": "25 pages",
  "categories": [
    "math.LO",
    "cs.LO"
  ],
  "abstract": "We introduce a refinement of the usual Ehrenfeucht-Fra\\\"{\\i}ss\\'e game. The new game will help us make finer distinctions than the traditional one. In particular, it can be used to measure the size formulas needed for expressing a given property. We will give two versions of the game: the first version characterizes the size of formulas in propositional logic, and the second version works for first-order predicate logic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-23T17:13:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C07"
    ],
    "keywords": [
      "complexity",
      "first-order predicate logic",
      "second version works",
      "first version characterizes",
      "propositional logic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.4803H"
    }
  }
}