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Research-Stack/0-Core-Formalism
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Brandon Schneider c5638c5412 feat: PrimitiveMatrix — division-free matrix inversion via common denominator 
PrimEntry: exact rational arithmetic (num/den, no truncation).
All intermediate steps stay in ℤ. Single final division by det(A).

Key insight: A × adj(A) = det(A) × I is exact over ℤ.
Q16_16 version has 1-LSB error per entry (demonstrated by #eval).

Witnesses:
  Primitive: 1/3 + 1/6 = 32768 (exact 0.5)
  Q16_16:    div(1,3) + div(1,6) = 32767 (1 LSB error)

Restored det_self_inverse theorem (removed by subagent).
lake build: 3301 jobs, 0 errors
2026-05-28 18:07:56 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat: PrimitiveMatrix — division-free matrix inversion via common denominator 2026-05-28 18:07:56 -05:00
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
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