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Research-Stack/0-Core-Formalism
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Brandon Schneider e5386c4f5a feat(lean): BraidSpherionBridge — SpherionState ↔ BraidState equivalence 
Bridge module connecting:
- SpherionState (Mountain/MMR/betaStep/rgFlow)
- BraidState (8 strands/crossStep/BraidReceipt/encodeReceipt)

Key content:
- SpherionSpike inductive (Mountain + crossPair Fin 4)
- IntNodeToPhaseVec bridge function
- spikeToStrandUpdate, strandFlow operations
- crossPair lemmas (0→(0,1), 1→(2,3), 2→(4,5), 3→(6,7))
- braidCross_phase_linear, Mountain_merge_apex_add lemmas
- braidCross_merge_correspondence (admit — TODO(lean-port): complete)
- k_spike_step_count (admit)
- receipt_correspondence, receipt_encode_stable (admit)

Build: 3572 jobs, 0 errors (lake build)
2026-05-30 13:29:13 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat(lean): BraidSpherionBridge — SpherionState ↔ BraidState equivalence 2026-05-30 13:29:13 -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