{
  "tag": "40MSAP",
  "kind": "definition",
  "slug": "polylogarithmic-time",
  "name": "Polylogarithmic time",
  "aliases": [
    "polylog time"
  ],
  "area": "foundations/asymptotic-analysis",
  "level": "intro",
  "summary": "Running time bounded by a polynomial in log n.",
  "prereqs": [
    "asymptotic-notation",
    "logarithms",
    "time-complexity"
  ],
  "sources": [
    {
      "url": "https://en.wikipedia.org/wiki/Time_complexity",
      "locator": "section Polylogarithmic time"
    },
    {
      "book": "isbn:9780262046305",
      "title": "Cormen, Leiserson, Rivest and Stein, Introduction to Algorithms, fourth edition",
      "locator": "Chapter 3 (standard notations, polylogarithmically bounded functions)"
    },
    {
      "book": "isbn:9780201896831",
      "title": "Donald E. Knuth, The Art of Computer Programming, Volume 1, third edition",
      "locator": "Section 1.2.11.1"
    },
    {
      "book": "isbn:9780521424264",
      "title": "Arora and Barak, Computational Complexity, A Modern Approach",
      "locator": "Chapter 6 (the class NC)"
    }
  ],
  "see_also": [
    "logarithmic-time",
    "constant-time",
    "sublinear-time",
    "polynomial-time",
    "iterated-logarithm",
    "nc",
    "binary-search",
    "common-growth-rates"
  ],
  "url": "https://algorithm.tamnd.com/polylogarithmic-time/",
  "path": "nodes/foundations/asymptotic-analysis/polylogarithmic-time",
  "status": {
    "slug": "polylogarithmic-time",
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    "i": {},
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      "name": "complete",
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}