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Research-Stack/0-Core-Formalism
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Brandon Schneider 837ffbc487 feat(lean): add BraidTreeDIATPIST Q0_2 braid compressor with FAMM gate 
BraidTreeDIATPIST.lean — 8-strand braid compressor as TreeDIAT/PIST
spectral arrays using Q0_2 fixed-point (0, 0.25, 0.5, 0.75) raw-Int
encoding. Implements:
  - raw-Int Q0_2 arithmetic (add/mul/abs/sum) with monotone lemmas
  - PhaseVec, Strand, State8, ScarBundle, Receipt structures
  - fammGate admissibility filter (slot-distinct + bracket-bound)
  - crossStep braid-pair crossing with Q0_2 residual accumulation
  - eigensolid_convergence theorem (loop stabilizes)
  - receipt_invertible theorem (receipt bijectively encodes state)

SSMS.lean: refine aciPreservedByMlgruStep with explicit hBlendACI
premise and refined bound-tracking through mlgru step.

Build: 3313 jobs, 0 errors (lake build Compiler)
2026-05-27 16:10:04 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat(lean): add BraidTreeDIATPIST Q0_2 braid compressor with FAMM gate 2026-05-27 16:10:04 -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