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Research-Stack/0-Core-Formalism
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Brandon Schneider 88b944aace docs: AdjugateMatrix det_self_inverse — Q16_16 obstruction documented 
The exact det_self_inverse theorem is NOT provable over saturating Q16_16
due to integer truncation in div/mul. Documented with concrete counterexample
(diag(3,1,...,1) gives 1 LSB error).

Proven base case: det_self_inverse_identity (identity matrix, native_decide).
The exact version requires either:
(a) Bounded-error variant (each entry within 1 LSB of I)
(b) Precondition: det divides all cofactor products exactly
(c) Proof over ℚ via Mathlib matrix library
2026-05-28 17:21:28 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean docs: AdjugateMatrix det_self_inverse — Q16_16 obstruction documented 2026-05-28 17:21:28 -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