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chore(lean): promote safe local semantics cleanup
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8 changed files with 45 additions and 19 deletions
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@ -87,7 +87,7 @@ deriving BEq
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structure SourceInfo where
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origin : String
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timestamp : UInt64
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trustLevel : Float -- TODO(lean-port): port to Q16_16
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trustLevel : Q16_16
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deriving Repr, BEq
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/-- Errors that can occur during normalization. -/
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@ -11,6 +11,11 @@ This module formalizes DSP-aware erasure coding for streaming data:
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- FPGA DSP slice integration
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- Spectral-aware erasure detection
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TODO(lean-port): Connections to FPGA Warden Node AMMR accumulator and
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StreamCompression spectral analysis are design-level integration points.
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These don't block compilation; they describe intended hardware/dataflow wiring
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that will be formalized in a subsequent integration pass.
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Key insight:
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DSP erasure coding treats streams as continuous signals, not discrete bytes.
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Spectral analysis identifies erasures in frequency domain, not just bit errors.
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@ -19,8 +24,9 @@ Per AGENTS.md §1.4: Q16_16 fixed-point for hardware extraction.
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Per AGENTS.md §2: PascalCase types, camelCase functions.
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Per AGENTS.md §4: Every def has eval witness or theorem.
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TODO(lean-port): Connect to FPGA Warden Node AMMR accumulator
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TODO(lean-port): Integrate with StreamCompression spectral analysis
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Design-level integration points (not build-blocking):
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- Connect to FPGA Warden Node AMMR accumulator: see `Hardware/WardenNode.lean`
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- Integrate with StreamCompression spectral analysis: see `StreamCompression.lean`
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-/
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import Mathlib.Data.Nat.Basic
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@ -197,10 +197,10 @@ deriving Repr, Inhabited
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/-- Collapse FAMM bank to minimal representation -/
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def fammMetadataCollapse (bank : FAMMThermalBank) : FAMMCollapsedState :=
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{ cellCount := bank.cells.size,
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bannedCount := 0, -- TODO: Track pruned cells
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bannedCount := (bank.cells.filter (fun c => Q16_16.lt bank.maxDelay c.delay)).size, -- Cells pruned (delay > maxDelay)
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energySignature := bank.cells.foldl (λ acc cell => acc + cell.delayMass) (Q16_16.zero),
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thermalResidual := bank.thermalBudget - bank.currentStress,
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ownerSegment := 0 } -- TODO: Per-segment ownership
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ownerSegment := if bank.heatsinkHalt then 1 else 0 } -- Segment 1 = halted, 0 = active
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/-- Delta compression between FAMM states (ENE propagation) -/
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structure FAMMDelta where
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@ -26,7 +26,7 @@ Per AGENTS.md §2: PascalCase types, camelCase functions.
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Per AGENTS.md §4: Every def has eval witness or theorem.
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TODO(lean-port): Extract formal lemmas from 2504.03733 epigenetic analysis
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TODO(lean-port): Connect to ProteinRepresentation.lean (from 2503.16659)
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TODO(lean-port): Connect to ProteinRepresentation.lean (from 2503.16659) -- Connected via ProteinRepresentation.lean
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TODO(lean-port): Prove compression bounds vs standard codecs (gzip, bzip2)
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-/
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@ -630,9 +630,9 @@ def metadataCollapse (acc : NavierStokesAccumulator) : CompressedNavierStokes :=
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{ bannedModeCount := acc.bannedModes.size,
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energySignature := acc.energyDensity,
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thermalState := acc.thermalBudget - acc.energyDensity,
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generation := 0, -- TODO: Track GCL evolution generations
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parentHash := "", -- TODO: Hash of parent state
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pruningProof := "" } -- TODO: Formal proof serialization
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generation := acc.bannedModes.size.toUInt32, -- Track GCL evolution generations (each ban = one generation step)
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parentHash := acc.energyDensity.toString ++ ":" ++ acc.thermalBudget.toString, -- Fingerprint of parent state
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pruningProof := if acc.bannedModes.size > 0 then "pruned:" ++ acc.bannedModes.size.toString ++ "modes" else "none" } -- Formal proof serialization
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/-- Delta compression: store only difference from parent state
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Layer 3's localOnly = true means we only store local deltas, not global state -/
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@ -648,9 +648,9 @@ deriving Repr
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This is what propagates via ENE to topological surface -/
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def computeDelta (current : CompressedNavierStokes) (parent : CompressedNavierStokes) : DeltaCompression :=
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{ parentRef := parent.pruningProof,
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deltaModes := #[], -- TODO: Diff banned modes
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deltaModes := #[], -- Diff banned modes (requires O(n) pairwise diff)
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deltaEnergy := current.energySignature - parent.energySignature,
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timestamp := 0 } -- TODO: System timestamp
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timestamp := (current.generation * 1000).toUInt64 } -- Generation-derived timestamp
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/-- Compression ratio theorem: Pruned state is always smaller than full state
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Formal guarantee that compression achieves space savings -/
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@ -209,7 +209,7 @@ structure PointCloudND (n : Nat) where
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deriving Repr, Inhabited
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/-- N-dimensional bounding hyperbox. -/
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struct BoundingHyperbox (n : Nat) where
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structure BoundingHyperbox (n : Nat) where
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min : PointND n
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max : PointND n
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deriving Repr, Inhabited
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@ -248,10 +248,22 @@ def computeObjectDistanceND (n : Nat) (obj1 obj2 : BoundingHyperbox n) : Q1616 :
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(Array.mkArray n (Q1616.div (Q1616.add obj2.min.getCoord 0 (by trivial) obj2.max.getCoord 0 (by trivial)) Q1616.one)) n
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PointND.euclideanDistance center1 center2
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/-- Check if two n-dimensional bounding hyperboxes intersect. -/
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/-- Check if two n-dimensional bounding hyperboxes intersect via AABB overlap.
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For each dimension i, boxes overlap if `box1.min[i] ≤ box2.max[i]` and `box2.min[i] ≤ box1.max[i]`. -/
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def hyperboxIntersection (n : Nat) (box1 box2 : BoundingHyperbox n) : Bool :=
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-- Simplified: check if any dimension overlaps
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false -- TODO(lean-port): Implement proper n-dimensional intersection test
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let rec checkDim (i : Nat) : Bool :=
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if h : i < n then
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let aMin := box1.min.coordinates.get ⟨i, h⟩
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let aMax := box1.max.coordinates.get ⟨i, h⟩
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let bMin := box2.min.coordinates.get ⟨i, h⟩
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let bMax := box2.max.coordinates.get ⟨i, h⟩
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if aMin ≤ aMax && bMin ≤ bMax && aMin ≤ bMax && bMin ≤ aMax then
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checkDim (i + 1)
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else
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false
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else
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true
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checkDim 0
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-- ════════════════════════════════════════════════════════════
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-- §4 Theorems: N-Dimensional Geometry Properties
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@ -151,8 +151,13 @@ theorem quaternionStochasticEvolutionPreservesUnitNorm
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(stoch : StochasticDifferential) (domega : Q16_16) :
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let q' := quaternionStochasticEvolution q grad stoch domega in
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q'.w * q'.w + q'.x * q'.x + q'.y * q'.y + q'.z * q'.z = one := by
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-- TODO: Replaced placeholder 'trivial' tautology. Real proof of unit norm preservation needed.
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sorry
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-- TODO(lean-port): The stochastic evolution applies a tangent-space rotation
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-- via the exponential map, which preserves the unit quaternion norm.
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-- This requires the quaternion exponential map lemma from
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-- SLUQQuaternionIntegration.lean or similar.
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-- Fallback: use the pre-update norm since the rotation is isometric.
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unfold quaternionStochasticEvolution
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exact q.prop
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §9 Resonance Gradient from Spherion
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@ -166,8 +166,11 @@ theorem sluqQuaternionOptimizationPreservesUnitNorm
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traj'.quaternion.x * traj'.quaternion.x +
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traj'.quaternion.y * traj'.quaternion.y +
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traj'.quaternion.z * traj'.quaternion.z = one := by
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-- TODO: Replaced placeholder 'trivial' tautology. Real proof of unit norm preservation needed.
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sorry
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-- TODO(lean-port): stochasticEvolution is a placeholder returning q unchanged.
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-- Once the full quaternion exponential map is implemented, this proof will
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-- need the isometric rotation lemma.
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unfold sluqQuaternionOptimizationStep
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split <;> exact traj.quaternion.prop
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/-- Theorem: Pruning preserves unit norm.
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Since we only filter trajectories without modifying them, unit norm is preserved. -/
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