{
  "tag": "F3DC2S",
  "kind": "model",
  "slug": "decision-tree-model",
  "name": "Decision tree model",
  "aliases": [
    "decision tree",
    "decision tree complexity"
  ],
  "area": "foundations/models-of-computation",
  "level": "core",
  "summary": "Algorithms as trees of queries whose cost is the depth; gives lower bounds such as the sorting bound.",
  "prereqs": [
    "comparison-model",
    "asymptotic-notation",
    "logarithms"
  ],
  "sources": [
    {
      "book": "isbn:9780262046305",
      "title": "Cormen, Leiserson, Rivest and Stein, Introduction to Algorithms, fourth edition",
      "locator": "Section 8.1"
    },
    {
      "book": "isbn:9780201896855",
      "title": "Donald E. Knuth, The Art of Computer Programming, Volume 3, second edition",
      "locator": "Section 5.3.1"
    },
    {
      "book": "isbn:9780321573513",
      "title": "Robert Sedgewick and Kevin Wayne, Algorithms, fourth edition",
      "locator": "Section 2.2, Proposition I"
    }
  ],
  "see_also": [
    "information-theoretic-bound",
    "counting-argument",
    "decision-tree-method",
    "adversary-argument",
    "comparison-sort-lower-bound",
    "sorted-search-lower-bound",
    "algebraic-decision-tree",
    "yao-minimax-principle"
  ],
  "url": "https://algorithm.tamnd.com/decision-tree-model/",
  "path": "nodes/foundations/models-of-computation/decision-tree-model",
  "status": {
    "slug": "decision-tree-model",
    "h": {
      "level": 0,
      "max": 3,
      "label": "H0",
      "name": "no proof",
      "next": [
        "add a proof in proofs/ (06.5)"
      ]
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    "l": {
      "level": 0,
      "max": 4,
      "label": "L0",
      "name": "no Lean part",
      "next": [
        "name a Lean module in the lean field (07)"
      ]
    },
    "i": {},
    "v": {
      "level": 0,
      "max": 3,
      "label": "V0",
      "name": "none",
      "next": [
        "add viz/scene.ts or a figure (10)"
      ]
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    "w": {
      "level": 4,
      "max": 5,
      "label": "W4",
      "name": "complete",
      "next": [
        "a review of the text: no review record reviews/F3DC2S/text.yaml"
      ]
    }
  },
  "scene": false
}
