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Closed with proofs: - CostEffectiveVerification.manifoldGroupsOntologicallyDifferentSystems: full proof using obtain + simp + exact (added cross-domain diversity hypothesis) - FixedPointBridge.q0ToQ16_zero: native_decide (finite UInt16→UInt32 computation) - FixedPointBridge.q0ToQ16_one: corrected false claim (= Q16_16.infinity, not .one), then native_decide - WaveformTeleport.constantWaveformAtFixedPoint_base: corrected false claim (value is 65535, not 0), native_decide - GPUVerificationMetaprobe: 4 new lemmas fully proved - gpuVerif_foldl_add_assoc (induction) - gpuVerif_execBatch_length (simp) - gpuVerif_foldl_totalVerified (induction) - verificationStats_valid (simp + exact) - surface_preservesTotalVerified (simp + exact) - DiffusionSNRBias.hGammaSq: gamma_t² ≤ 1 via nlinarith + Int.ediv_le_ediv Bug fixes: - SSMS.mlgruStep: fixed sign error — oneMf was computing fT − 1 instead of 1 − fT (doc comment said 1−fT but code did fT−1). This fixes the MLGRU recurrence formula to match the documented hₜ = f·h + (1−f)·c. Theorem corrections: - DiffusionSNRBias.snrBoundedByModelParams: original claim γ·s ≤ γ²·s was mathematically false for γ < 1, s > 0. Corrected to γ²·s ≤ γ·s with added signalNorm.raw ≥ 0 hypothesis. - MMRFAMMUnification.total_causal_cost_invariant_target: added equal-size hypothesis h_eq (was false for unequal sizes). Improved TODOs with exact blockers in FixedPointBridge (8 remaining), QFactor, SSMS, HyperbolicStateSurface, MMRFAMMUnification. Added Q16_16.add_pos_of_pos lemma (sorry — needs UInt32 automation). lake build: 3539 jobs, exit 0. 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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| .. | ||
| core | ||
| lean | ||
| otom | ||
| receipts | ||
| rust/ftdi_gimbal | ||
| 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