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Brandon Schneider 4a72ad1183 feat(lean): port pist_trace_classify_mcp spectral logic to Semantics.PIST.Spectral 
## New module: Semantics.PIST.Spectral

Ports the two domain-logic functions from pist_trace_classify_mcp.py
that were previously executing in unverified Python:

### classify_tactic_from_name → classifyTacticFromName
- `TacticFamily` inductive (rewrite, normalization, arithmetic, induction,
  algebraic, case_analysis, discharge, reflexivity, unknown)
- Pure string-lookup; 5 executable witnesses confirm all branches.

### compute_spectral → computeSpectral
- `isqrt` — integer Newton's method for floor(√n); 4 witnesses.
- `powerIteration` — Q16_16 fixed-point dominant eigenvalue via power
  iteration with Rayleigh quotient; identity-matrix witness = 65536.
- `SpectralProfile` structure — 10 fields (matrix_size, rank,
  spectral_gap, density, trace_val, frobenius_norm, laplacian_zero_count,
  adjacency_eigenvalue_max, laplacian_eigenvalue_max, singular_value_max).
- `computeSpectral` — symmetrize → lap → powerIteration → shift-deflation
  for second eigenvalue → AᵀA for singular value; 3 witnesses on 2×2 fixture.

No Float in any compute path. All magic constants documented with formulas.

## Other changes
- Semantics.lean: add `import Semantics.PIST.Spectral`
- AgenticOrchestration.lean:163: expand bare `-- TODO(lean-port):` label
- pist_trace_classify_mcp.py: update PARTIAL BOUNDARY comment to name
  the Lean module that now owns spectral logic

## Build baseline
  lake build Compiler → 3311 jobs, 0 errors

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

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>
2026-05-26 23:25:50 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat(lean): port pist_trace_classify_mcp spectral logic to Semantics.PIST.Spectral 2026-05-26 23:25:50 -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