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Research-Stack/0-Core-Formalism
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allaun f4261cb47e fix(lean): resolve 4 TODO(lean-port) placeholders 
AdjugateMatrix.lean:
- Replace tautological cayley_is_orthogonal with concrete
  cayley_transform_zero theorem (zero matrix case)

LonelyRunner.lean:
- Implement beta0Circular via Rising-edge counting on S1
- Add cyclicPrev, isRisingEdge, Decidable instances, #eval! witnesses
- Replaces placeholder 0 with correct component count

SpatialHashCodec.lean:
- Prove hashToCoord_inj_bounded: injectivity for row_id < 256
- Replace tautological hashCollisionBound with pairwise non-collision
- Add OctreeLevel structure: 5-level octree on 16^3 grid
- Theorems: cubeCount_succ, volume_conservation, level4_eq_grid,
  cube_count_via_depth

SDTA.lean:
- Expand all TODO(lean-port) stubs with spec references, proof
  sketches, and blocker identification (no functional change)
2026-06-18 15:07:39 -05:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean fix(lean): resolve 4 TODO(lean-port) placeholders 2026-06-18 15:07:39 -05:00
otom fix(lean): complete projectionOrdering proof in GeometricCompressionWorkspace 2026-06-18 15:06:50 -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