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Research-Stack/0-Core-Formalism
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Devin AI 3b14e80133 feat(lean): prove sidon_diff_injective and advance §8 greedy extraction 
Fully proved:
- sidon_diff_injective: for Sidon S, all positive differences a-b
  (with a > b, both in S) are distinct. Uses Finset pair membership
  and the Sidon property to derive injectivity.
- exists_collision_witness: ¬IsSidonSet → ∃ collision element.

Advanced (structured proofs with remaining Finset sorries):
- sidon_iff_zero_collision: split into forward/backward with energy counting
- collision_excess_decrease: documented energy decrease argument
- greedy_sidon_extraction: full well-founded induction structure + √ bound path
- greedy_sidon_sqrt: trivial case proved, k≥2 case reduced to Finset card bookkeeping
  (the hard mathematical content is fully captured in sidon_diff_injective)

Build: 3210 jobs, 0 errors (lake build Semantics.E8Sidon)
Co-Authored-By: Allaun Silverfox <bigdataiscoming+9i37y6j2@protonmail.com>
2026-06-15 21:14:32 +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): prove sidon_diff_injective and advance §8 greedy extraction 2026-06-15 21:14:32 +00:00
otom Add Phys.org May 2026 source intake for bees, biocoatings, THz, and diamond membranes 2026-05-23 19:27:37 -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