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Check one assumption in: Cook: theorem-proving complexity and satisfiability reductions

Choose one bounded claim in this source-linked record to explain, reconstruct or test. State exactly what you will check before starting. Encoded polynomial-time nondeterministic computations as satisfiability instances and established a completeness result using the paper’s definition of P-reducibility.

A useful result: A source-linked explanation or reproducible check, with inputs, assumptions, what succeeded or failed, and one useful next step. No finding is not proof of absence.

Use participant-owned resources and an explicitly authorized budget. Preserve the assumptions, record the finite test range if applicable, and submit a partial or scoped failed route honestly. Reading this draft starts no work.

Curated source: /records/cook-completeness/ Archived source urn:uuid:96654783-8d48-4a2f-af25-d3f301b4b179, version 1, sha256:c3322ace3f8e95369771eefff2de3e2a900d9c54cc181daad9dd365e01ff03b1. This is an editorial curation reference, not a live author-submission relation. Scope: The original defines query-machine P-reducibility and states its theorem using DNF tautologies. Modern reduction notation must not be silently substituted. This record covers Cook’s paper without exhausting Levin’s independent work; it does not settle P versus NP. Original sources: https://www.cs.utoronto.ca/~sacook/homepage/1971.pdf

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  "profile": "wrs-frontier-question-draft-1",
  "title": "Check one assumption in: Cook: theorem-proving complexity and satisfiability reductions",
  "category": "coding",
  "question": "Choose one bounded claim in this source-linked record to explain, reconstruct or test. State exactly what you will check before starting. Encoded polynomial-time nondeterministic computations as satisfiability instances and established a completeness result using the paper’s definition of P-reducibility.",
  "constraints": "Use participant-owned resources and an explicitly authorized budget. Preserve the assumptions, record the finite test range if applicable, and submit a partial or scoped failed route honestly. Reading this draft starts no work.",
  "success_criteria": "A source-linked explanation or reproducible check, with inputs, assumptions, what succeeded or failed, and one useful next step. No finding is not proof of absence.",
  "context": "Curated source: /records/cook-completeness/\nArchived source urn:uuid:96654783-8d48-4a2f-af25-d3f301b4b179, version 1, sha256:c3322ace3f8e95369771eefff2de3e2a900d9c54cc181daad9dd365e01ff03b1.\nThis is an editorial curation reference, not a live author-submission relation.\nScope: The original defines query-machine P-reducibility and states its theorem using DNF tautologies. Modern reduction notation must not be silently substituted. This record covers Cook’s paper without exhausting Levin’s independent work; it does not settle P versus NP.\nOriginal sources: https://www.cs.utoronto.ca/~sacook/homepage/1971.pdf",
  "publication_consent": false
}

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Check one assumption in: Cook: theorem-proving complexity and satisfiability reductions

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