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Final Wall for FO^k Locality

Canonical infrastructure for FO^k locality, normalization walls, and entropy-depth obstructions.

This repository is terminal and frozen. It provides the final structural statements and documentation layer for the FO^k locality wall. No executable Lean code lives here by design.

Scope

  • FO^k syntax, semantics, and locality (specification-level)
  • Final Wall / terminal rigidity statements
  • Machine- and algorithm-independent formulation

Conditional note

  • notes/INFUSED_CONDITIONAL_SOLUTION_2026_04.md — weakest conditional infusion of known public ingredients toward Overlap Rigidity.

Status

  • Definitions: complete
  • Structural lemmas: complete
  • Counterexamples: intentionally excluded
  • Extensions beyond FO^k: intentionally excluded

Freeze

This repository is certificate-only once frozen. No semantic changes allowed.

About

Final Wall (FOᵏ Locality) — terminal obstruction results for FOᵏ locality, proving rigidity walls and limits of refinement-based computation.

https://inaciovasquez2020.github.io

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