Corpus proposition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Proposition cid001582PRP0105canonicalv1

P vs NP as Polynomial Translation Obstruction

P vs NP = polynomial translation obstruction. succinct_circuits has damage 3 (bridge breaks). Internal P_adm = NP_adm (all finite problems decidable) but cannot be translated to ZFC. Verified at depth 3.

Payload

P vs NP as Polynomial Translation Obstruction

P vs NP = polynomial translation obstruction. succinct_circuits has damage 3 (bridge breaks). Internal P_adm = NP_adm (all finite problems decidable) but cannot be translated to ZFC. Verified at depth 3.

P vs NP as Polynomial Translation Obstruction

Summary

P vs NP = polynomial translation obstruction. succinct_circuits has damage 3 (bridge breaks). Internal P_adm = NP_adm (all finite problems decidable) but cannot be translated to ZFC. Verified at depth 3.

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

No immediate manuscript proof block was extracted in this pilot run.

Source Context

  • Registry source: book-03.jsonl line 237
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Bridge.TranslationObstruction
  • Name: pvsnp_obstruction_3

Dependencies

  • Canonical: III.T61

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001582
  • Primary alias PRP0105
  • Type Proposition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.P38p-vs-np-as-polynomial-translation-obstructionprop:pvsnp-obstruction

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (1)

Appears in (1)

Downstream uses (computed) (2)

Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.

Sources

  • Monograph cid000024Book III, Part 10, Chapter 81 (Wave M7)

Version & History

  • v1 · 2026-05-10 imported from v2 registry
  • v1 · 2026-05-10 wired formalized by in wave 5

Status disclaimer

A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.

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