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by Ciro Santilli (@cirosantilli, 37)

NP-complete

 ... Computational problem Complexity class ELEMENTARY (complexity) EXPTIME PSPACE NP (complexity)
 0 By others on same topic  0 Discussions  Updated 2025-05-26  +Created 1970-01-01  See my version
A problem that is both NP and NP-hard.
  • Table of contents
    • Cook-Levin theorem NP-complete
    • P versus NP problem NP-complete
      • Ladner's Theorem P versus NP problem

Cook-Levin theorem

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NP-complete

P versus NP problem (P vs NP)

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NP-complete
Interesting because of the Cook-Levin theorem: if only a single NP-complete problem were in P, then all NP-complete problems would also be P!
We all know the answer for this: either false or independent.

Ladner's Theorem

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P versus NP problem

 Ancestors (12)

  1. NP (complexity)
  2. PSPACE
  3. EXPTIME
  4. ELEMENTARY (complexity)
  5. Complexity class
  6. Computational problem
  7. Computer science
  8. Computer
  9. Information technology
  10. Area of technology
  11. Technology
  12.  Home

 Incoming links (5)

  • AGI-complete
  • BQP
  • Integer factorization
  • NP-intermediate
  • P versus NP problem

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