Corpus definition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Definition cid001528DEF0298canonicalv1

Kleene Fixed Point

Self-application operator S(c) = (c+c) mod M_k and its fixed points. At every finite stage, c=0 is always a fixed point. Models Kleene's recursion theorem constructively on Z/M_k Z.

Payload

Kleene Fixed Point

Self-application operator S(c) = (c+c) mod M_k and its fixed points. At every finite stage, c=0 is always a fixed point. Models Kleene’s recursion theorem constructively on Z/M_k Z.

Kleene Fixed Point

Summary

Self-application operator S(c) = (c+c) mod M_k and its fixed points. At every finite stage, c=0 is always a fixed point. Models Kleene’s recursion theorem constructively on Z/M_k Z.

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

This item is definitional. No manuscript proof is required.

Source Context

  • Registry source: book-03.jsonl line 218
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Computation.E2Witness
  • Name: kleene_fixed_point

Dependencies

  • Canonical: III.D30

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001528
  • Primary alias DEF0298
  • Type Definition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.D83kleene-fixed-pointdef:kleene-fixed-point

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (2)

Appears in (1)

Downstream uses (computed) (4)

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 7, Chapter 60 (Wave M6)

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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