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Claude 817fbaca6c feat(lean): ProductSidon — injective product-space encoding from Sidon partition 
Formalizes the core equation extracted from atproto's "no instances" principle:

  α(x₁) + β(y₁) = α(x₂) + β(y₂)  →  x₁ = x₂  ∧  y₁ = y₂

Key additions (0 sorry):
- IsProductSidon: injectivity of joint encoding f(x,y) = α(x) + β(y)
- CrossDiffDisjoint: (Δ image α) ∩ (Δ image β) = {0}
- productSidon_injective: CrossDiffDisjoint → IsProductSidon
- isProductSidon_iff_crossDiffDisjoint: equivalence (given injective encodings)
- sidonPartition_implies_productSidon: Sidon set partition → ProductSidon pair
- atmosphere_sidon_principle: equal observables → same host/app decomposition

Extends sidon_diff_injective (E8Sidon §8) from intra-set to cross-set differences.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Xrttjg3619VRrMjxqUPUkL
2026-06-20 06:41:55 +00:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean feat(lean): ProductSidon — injective product-space encoding from Sidon partition 2026-06-20 06:41:55 +00:00
otom chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
receipts docs: add bio optical witness living light equations 2026-05-09 20:53:51 -05:00
rust/ftdi_gimbal initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
scripts chore: commit accumulated working tree changes 2026-05-30 00:10:02 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00

README.md

0-Core-Formalism

Purpose: Formal foundations for the entire Research Stack — Lean modules, bind primitive, Triumvirate consensus, core source.

No external dependencies. All other layers depend on this.

Contents (Target)

Source Destination
0-Core-Formalism/lean/Semantics/ 0-Core-Formalism/lean/Semantics/
core/ 0-Core-Formalism/core/

Concepts

  • bind — State → (State → Action) → State
  • TriumvirateClock — ternary consensus (ADD/PAUSE/SUBTRACT)
  • Builder/Judge/Warden — roles mapped to hardware registers
  • OTOM — Ordered Transformation & Orchestration Model

Build

cd "0-Core-Formalism"
lake build