algo/fixKnowledge/2026-02-17-v0-livre-m0-memory-declaration.md

author	date	scope	type	related_corrective_chapters
4NK Team	2026-02-17	v0/livre.md (global)	fix	v0/chapitre25.md

Fix: Enforce M0 “memory” disambiguation in v0/livre.md

Problem

v0/livre.md uses the terms mémoire / héritage / dépendance au passé / non‑Markovianité across multiple chapters, but without a systematic declaration separating:

• memory-structure: a transmissible constraint register that constrains reachability; vs
• memory-state: apparent non‑Markov behavior induced by a projection / incomplete state (hidden variables).

Additionally, some algorithmic-complexity bullets used “Mémoire: O(…)”, which overloads the word “mémoire” with a computational “space” meaning inside the same book.

Impacts

• Ambiguity between “non‑Markov because of projection” and “transmissible constraint memory”.
• Risk of importing “memory” as an explanatory primitive instead of tracking it as either a register or a state-completeness issue.
• Terminological collision between conceptual memory and computational memory (space usage).

Cause

Memory/heritage sections were introduced and expanded chapter-by-chapter, but the book did not include a global, explicit M0 compliance pass.

Root cause

No explicit global convention existed to force an observable/state/projection/Markov-status/type declaration whenever the “memory” vocabulary is invoked.

Fix applied

Applied the correction only in v0/livre.md:

• Added an M0 rule and two standard declarations in the Introduction’s “Note de méthode (mémoire)”.
• Added an M1 rule: when an argument depends on past-dependence / a register K, formulate it first on the minimal closed extended state, then discuss projections.
• Added local M0 declarations in sections/chapters where “heritage/memory/non‑Markov” is structural:
  • transmission-structure section (“mémoire des collisions”),
  • Chapter 6 (heritage),
  • Chapter 7 (distributed history),
  • “Héritage sans essence” section,
  • Chapter 13 (projection-induced non‑Markov) and “Dépendance au passé…” section,
  • “Verrouillage induit par héritage” section.
• Added minimal glossary rows for mémoire transmissible and variable cachée (M0 concepts).
• Replaced algorithmic complexity bullets “Mémoire: O(…)” with “Espace: O(…)” to avoid mixing conceptual memory with space complexity.
• Clarified two early “mémoire” mentions with “(au sens M0)”.

Affected pages

• v0/livre.md

Deployment / regeneration considerations

• If v0/livre.md is regenerated from v0/chapitre*.md, this fix can be overwritten. In that case, the M0 rule and local declarations should be ported to the corresponding source chapter files (keeping v0/chapitre<n>.md as the canonical sources).

Analysis / verification steps

• In v0/livre.md, search for: mémoire, héritage, dépendance au passé, non‑Markov, non-Markov.
• Verify that sections using these notions include an explicit M0 declaration (observable/state, projection, Markov status, type).
• Verify that computational complexity bullets use Espace: (not Mémoire:).