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Research-Stack/0-Core-Formalism
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Devin AI 10feb8d717 proof(E8Sidon): close sidon_energy_bound via RRC dimensional classification 
Add finset_pair_eq_iff lemma (the 'dimensional annotation' step):
  {a,b} = {c,d} as Finsets → (a=c ∧ b=d) ∨ (a=d ∧ b=c)
Proved via Set.pair_eq_pair_iff + Finset.coe_inj coercion.

Use it to close sidon_energy_bound (E(S) ≤ 2k²):
  1. Route every filtered quadruple to 'same' or 'swap' shape
  2. Each shape is an image of S×S (card ≤ k²)
  3. Union ≤ same.card + swap.card ≤ 2k²

Inspired by Trail of Bits dimensional analysis technique:
annotate once (finset_pair_eq_iff), validate mechanically.

Sorry count: 9 tokens across 8 theorems (down from 10/9).

Build: 3210 jobs, 0 errors
Co-Authored-By: Allaun Silverfox <bigdataiscoming+9i37y6j2@protonmail.com>
2026-06-15 22:23:23 +00:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean proof(E8Sidon): close sidon_energy_bound via RRC dimensional classification 2026-06-15 22:23:23 +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