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Research-Stack/0-Core-Formalism
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Brandon Schneider 77d67323f3 feat(lean): BraidDiatCodec — chirality/MMR/braid residual codec 
BraidField.lean fixes:
- MMR.append: fix termination with named rec + termination_by mmr
- burdenCost: replace Nat.abs → Int.ofNat + manual abs via Nat.preadJoin
- SpherionState: add Inhabited instance (was blocking BraidDiatCodec)
- PISTField: add Inhabited instance

BraidDiatCodec.lean (new):
- ChiralityDIAT: 2-bit chirality + 62-bit DIAT slot (encode/decode + roundtrip proof)
- MountainPacked: height(8)+apex(48)+base_count(8)+bases; fromMountain/toMountain
- BraidResidualPacked: 5 Q0_2 fields × 2 bits; bracket_roundtrip theorem
- BraidDiatFrame: 256-bit fixed header + variable mountain list; encode/decode

Codec layers the mountains-on-mountain stack:
  Layer 1: Chirality-DIAT slot address (spatial hierarchy + anti-correlation prod)
  Layer 2: Mountain pack (height/apex/base, self-similar inner MMR)
  Layer 3: Braid residual (Q0_2 crossing residuals, 10 bits/crossing)
  Layer 4: Complete frame (SpherionState × BraidReceipt → frame → back)

Build: 3560 jobs, 0 errors (lake build)

AGENTS.md: updated blessed surface + codec documentation
2026-05-30 02:51:30 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat(lean): BraidDiatCodec — chirality/MMR/braid residual codec 2026-05-30 02:51:30 -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
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