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Hopcroft: efficient partition refinement for finite automaton minimization

Contribution grade

Computer science · Computer science

Reference score130,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Hopcroft supplied an n log n state-minimization algorithm for complete deterministic finite automata with fixed alphabet, using partition refinement and carefully scheduled splitters.

Scientific scope

Hopcroft supplied an n log n state-minimization algorithm for complete deterministic finite automata with fixed alphabet, using partition refinement and carefully scheduled splitters. The partition-refinement algorithm concerns finite deterministic automata and the specified alphabet/transition representation. Its time bound depends on how the alphabet and transitions are counted. It is not minimization of arbitrary nondeterministic machines or an all-purpose state-space reduction theorem. Later implementation variants retain separate credit.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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