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lakefile.toml (PIST lib roots): - Remove "PISTMachine" — PISTMachine.lean does not exist; dead root would cause lake build PIST to fail with "unknown module" error - "Trace" was already added in the prior dirty change; committed here paired with the file it requires 2-Search-Space/PIST/Trace.lean (new): - Lean 4 tactic `trace_state_json "tag"` for Tier 2 flexure recording - Emits structured goal-state JSON (target, hypotheses, goal_count) prefixed with @@PIST_TRACE_JSON@@ sentinel to logInfo stdout - Python trace bridge parses the sentinel to capture mid-proof state - Namespace: PIST.Trace; no sorry, no float, no external deps beyond Lean Generated with Devin (https://cli.devin.ai/docs) Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com> |
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|---|---|---|
| .. | ||
| FAMM | ||
| GhostPivot | ||
| GhostPivot2 | ||
| manifold | ||
| PIST | ||
| rust | ||
| search | ||
| simulations | ||
| tardygrada | ||
| README.md | ||
| SearchSpace.lean | ||
2-Search-Space
Purpose: Quaternion, braid, and manifold primitives for high-dimensional search space navigation.
Depends on: 0-Core-Formalism
Components
| Component | Status | Description |
|---|---|---|
| PIST | In core/, scratch/ |
Perfectly Imperfect Square Theory |
| SVQF | In core/ |
Spherical Quaternion Vector Field |
| FAMM | In core/, scratch/ |
Frustration-Aware Manifold Mesh |
| Braid Theory | Planned | Topological constraints via braid brackets |
Key Optimizations
- Quaternion Sieve — Counter-rotation as band-pass filter
- Non-linear Gearbox — φ-based fractional steps
- Calabi-Yau Compactification — Discarded space folded into compactified dimensions
- Ricci Flow — Self-smoothing via ∂g_ij/∂t = -2R_ij
Hardware Range
Framework uses fixed-point arithmetic (Q16_16) — runnable on NES (1983) to modern FPGA.