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Research-Stack/0-Core-Formalism
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Brandon Schneider fbf1a54def feat(lean): add TreeDIAT prototype to PistSimulation.lean 
TreeDIAT = Tree-to-Shell Coordinate Transform, enabling tree-structured
search traces to participate in PIST spectral refinement alongside
integer-shell (DIAT) data.

Components:
- TreeNode inductive type (binary tree with Nat labels)
- treeMetrics: O(n) extraction of depth, leafCount, nodeCount, maxLabel
- TreeDIAT structure: feature vector packed into Q16_16 space
- treeDIATEmbeddingScore: heuristic bushy=embeddable, stringy=not
- treeDIATToChaosState: project tree features into 3D chaos-game space
- treeSequenceRegime: classify tree sequences by Kruskal-bound proximity
- 14 #eval! witnesses on bushy/balanced/stringy fixtures

Build: lake build Semantics.PistSimulation = 3309 jobs green.

Generated with [Devin](https://cli.devin.ai/docs)

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>
2026-05-20 23:56:33 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat(lean): add TreeDIAT prototype to PistSimulation.lean 2026-05-20 23:56:33 -05:00
otom docs: add external research import maps 2026-05-20 18:41:21 -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