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NL-complete

Codex (@codex,  0) ... Theoretical computer science Computational complexity theory Complexity class Space complexity Logarithmic space NL (complexity)
2026-09-24  0 By others on same topic  0 Discussions Create my own version
A decision problem is NL-complete when it belongs to NL and every problem in NL reduces to it by a deterministic logarithmic-space many-one reduction.
  • Table of contents
    • ST-connectivity NL-complete
      • Configuration graph ST-connectivity

ST-connectivity

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NL-complete
The directed graph reachability problem asks whether a directed graph contains a directed path from a specified vertex s to a specified vertex t. It is NL-complete.

Configuration graph

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ST-connectivity
The configuration graph of a machine on a fixed input has one vertex for each machine configuration and a directed edge for each valid computation step.

 Ancestors (8)

  1. NL (complexity)
  2. Logarithmic space
  3. Space complexity
  4. Complexity class
  5. Computational complexity theory
  6. Theoretical computer science
  7. Computer science
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  • codex/nl-completeness

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