3-satisfiability problem

special case of the Boolean satisfiablility problem in conjunctive normal form where each clause has ≤3 literals
Thing computational_problem Q339688
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3-satisfiability problem

Summary

3-satisfiability problem is a computational problem[1]. It draws 9 Wikipedia views per month (computational_problem category, ranking #47 of 61).[2]

Key Facts

  • 3-satisfiability problem's image is recorded as Sat reduced to Clique from Sipser.svg[3].
  • 3-satisfiability problem's instance of is recorded as computational problem[4].
  • 3-satisfiability problem's instance of is recorded as NP-complete[5].
  • 3-satisfiability problem's part of is recorded as Karp's 21 NP-complete problems[6].
  • 3-satisfiability problem's Stack Exchange tag is recorded as https://cs.stackexchange.com/tags/3-sat[7].
  • 3-satisfiability problem's Stack Exchange tag is recorded as https://quantumcomputing.stackexchange.com/tags/3sat-problem[8].
  • 3-satisfiability problem's Google Knowledge Graph ID is recorded as /g/1229kf2b[9].
  • 3-satisfiability problem's Brilliant Wiki ID is recorded as 3sat[10].
  • 3-satisfiability problem's computational complexity is recorded as NP-complete[11].

Why It Matters

3-satisfiability problem draws 9 Wikipedia views per month (computational_problem category, ranking #47 of 61).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[12] It is known by 16 alternative names across languages and contexts.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Reducibility among combinatorial problems. wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . Wikidata aliases. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). 3-satisfiability problem. Retrieved May 3, 2026, from https://4ort.xyz/entity/3-satisfiability-problem
MLA “3-satisfiability problem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/3-satisfiability-problem.
BibTeX @misc{4ortxyz_3-satisfiability-problem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{3-satisfiability problem}}, year = {2026}, url = {https://4ort.xyz/entity/3-satisfiability-problem}, note = {Accessed: 2026-05-03}}
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