algo/fixKnowledge/2026-02-17-v0-chapter1-admissibility-citations.md

Problem

The Chapter 1 content was inconsistent across sources and contained formatting/notation defects:

• v0/livre.md (Chapter 1) contained broken in-text reference formatting (e.g. markdown links like (...](2) instead of numeric citations like (...)[2]), and a malformed reference pair ...[10](11).
• Terminology and typos existed in Chapter 1 (basins instead of bassins, Un transformation instead of Une transformation).
• The fixed-point notation was inconsistent ($C^$ used as a fixed point label).
• The Chapter 1 interpretative section required stricter conditional framing and explicit status of admissibility (the admissible set of transformations is a model parameter), aligned with the corrective chapters 19 and 24.
• v0/chapitre1.md and Chapter 1 inside v0/livre.md diverged in the interpretative framing and the “paysage” paragraph, causing the same concept to be expressed with different constraints/hypotheses depending on the file.

Impacts

• Rendered markdown could display incorrect/broken links for citations.
• Readers could misread citation numbers as hyperlinks, and the malformed [10](11) could hide the intended paired reference.
• Divergent phrasing across chapitre1.md and livre.md could reintroduce the “glissement de statut” that the corrective chapters aim to avoid (interpretations read as unconditional claims).
• The missing explicit status of admissibility made it harder to audit what is “data of the model” vs what is “derived”.

Cause

• Partial/manual edits in v0/livre.md changed citation syntax and partially integrated the corrective framing.
• The corresponding source chapter file (v0/chapitre1.md) was not updated in lockstep, preserving older wording and older “paysage/cosmogonie” framing.

Root cause

• No systematic editorial audit enforcing a single citation style and a single vocabulary policy at the chapter boundary.
• No single-source-of-truth enforcement between v0/chapitre1.md and the Chapter 1 section embedded in v0/livre.md.

Fix

• Added an explicit “Encadré (statut de l’admissibilité)” in Chapter 1 (book version) to declare admissibility as a model datum and to list minimal structural constraints (invariance, locality, resource bounds, constraint coherence), and to require explicit declaration of any constraint-compatibility procedure when it is introduced.
• Normalized Chapter 1 wording in the book version to keep interpretative passages conditional (hypothesis-indexed), and removed self-positioning language inside the interpretative section.
• Corrected typos/terminology and notation:
  • Une transformation (grammar)
  • bassins (French terminology)
  • $C^*$ for fixed point label
  • cycle limite (removed stray *)
• Normalized in-text citations to bracketed numeric citations and fixed the malformed reference pair formatting.
• Kept v0/chapitre1.md as the original source text (by repository policy) and applied the corrections to the compiled book text in v0/livre.md only.

Changed files

• v0/livre.md

Deployment

• Documentation-only change: merge the commit.
• If v0/livre.md is regenerated by tooling in the workflow (v0/compile_livre.py), the current fix will be overwritten because v0/chapitre1.md remains unchanged. To make the fix persistent, the build workflow needs an explicit mechanism (alternate source for Chapter 1, or a deterministic post-processing step during compilation).

Analysis / verification

• Verify no remaining broken numeric-link citations in Chapter 1:
  • search for patterns like ](2), ](20), [10](11) in v0/livre.md
• Verify terminology and typos are fixed:
  • search for basins, Un transformation, cycle limite* in v0/livre.md
• Render Chapter 1 markdown and confirm citations appear as numeric bracket references.