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504 lines
26 KiB
Text
504 lines
26 KiB
Text
-- SilverSight.RRC.Emit — Goal A+: fixture corpus → alignment gate → JSON
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--
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-- This module ports the core decision logic of rrc_pist_shape_alignment.py
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-- into Lean. It is the first step toward a Lean-only RRC compiler that can
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-- replace shim-space Python for all admissibility and routing decisions.
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--
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-- Shim contract (mirrors rrc_pist_shape_alignment.py):
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-- - promotion is always not_promoted at this stage
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-- - all alignment/gating decisions happen in Lean, not in Python
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-- - output is a JSON string that the Python harness can validate
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-- - claim boundary: admissibility + routing pass only; not a proof of
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-- the underlying mathematics
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import SilverSight.RRCLogogramProjection
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import SilverSight.ReceiptCore
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import SilverSight.FixedPoint
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namespace SilverSight.RRC.Emit
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open SilverSight.RRCLogogramProjection
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open SilverSight.ReceiptCore
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open SilverSight.FixedPoint
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open SilverSight.FixedPoint.Q16_16
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-- ─────────────────────────────────────────────────────────────────────────────
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-- §1 Alignment status (mirrors ALIGNMENT_SCORES in rrc_pist_shape_alignment.py)
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-- ─────────────────────────────────────────────────────────────────────────────
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/-- Alignment status between PIST structural label and RRC semantic routing shape.
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Scores (Q16_16-compatible integer encoding, denominator = 100):
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- aligned_exact: 100 (exact PIST label == RRC shape)
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- aligned_proxy: 86 (proxy PIST label == RRC shape)
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- compatible_structural_projection: 72 (PIST sees logogram morphology, RRC routes semantically)
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- alignment_warning: 35 (mismatch, no known compatibility)
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- missing_prediction: 0 (no PIST label present)
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-/
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inductive AlignmentStatus where
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| alignedExact -- score 100
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| alignedProxy -- score 86
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| compatibleStructuralProjection -- score 72
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| alignmentWarning -- score 35
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| missingPrediction -- score 0
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deriving DecidableEq, Repr
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def alignmentScore : AlignmentStatus → Nat
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| .alignedExact => 100
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| .alignedProxy => 86
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| .compatibleStructuralProjection => 72
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| .alignmentWarning => 35
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| .missingPrediction => 0
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-- ─────────────────────────────────────────────────────────────────────────────
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-- §2 Promotion status (always not_promoted at this stage)
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-- ─────────────────────────────────────────────────────────────────────────────
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inductive Promotion where
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| notPromoted
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| candidate
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deriving DecidableEq, Repr
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-- ─────────────────────────────────────────────────────────────────────────────
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-- §3 Fixture row (one compiled equation record)
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-- ─────────────────────────────────────────────────────────────────────────────
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/-- A single RRC equation fixture row.
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Fields match the invariant_receipt + equation_record structure from
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rrc_equation_classifier_receipt.json:
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- equationId: "rrc_eq_<hex>" stable object identifier
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- name: human-readable equation name
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- shape: RRC routing shape (from RRCLogogramProjection.RRCShape)
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- status: witness status (candidate or hold)
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- rrcKind: classifier receipt kind tag
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- weakAxesCnt: count of weak (missing) projection axes — proxy for receipt_density gap
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- pistProxyLabel: PIST proxy classifier output (if any)
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- pistExactLabel: PIST exact classifier output (if any)
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Generator fields (for EN9wiki page generation):
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- operatorTokens: operator/domain tokens derived from route_hint and rrc_kind
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e.g. ["cognitive_load", "exponential_decay"]
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- invariantsDeclared: declared invariant family from domain_type
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e.g. "LAYER_G_ENERGY" or "unknown"
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- boundaryConds: binding class / boundary condition family
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e.g. "thermodynamic_bind" or "unknown"
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- templateKey: which page-generator template applies
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e.g. "definition", "master_equation", "gate", "receipt", "hold"
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- templateParams: compact parameter string for deterministic rendering
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e.g. "route=cognitive_load;shape=CognitiveLoadField"
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-/
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structure FixtureRow where
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equationId : String
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name : String
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shape : RRCShape
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status : WitnessStatus
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rrcKind : String
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weakAxesCnt : Nat
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pistProxyLabel : Option String -- None when PIST has no prediction
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pistExactLabel : Option String
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arxivPaperId : Option String := none
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-- Negative control: observed (raw CSV) vs derived (Lean computation)
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ncObserved : Q16_16 := Q16_16.zero -- exactly what the dataset says
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residualRisk : Q16_16 := Q16_16.zero -- manifold primitive: residual_risk
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scaleBandDeclared : Q16_16 := Q16_16.zero -- manifold primitive: scale_band_declared
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-- Weak axes names (preserve which axes are declared weak)
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weakAxesNames : List String := []
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-- Generator fields
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operatorTokens : List String -- domain/operator token list
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invariantsDeclared : String -- declared invariant family or "unknown"
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boundaryConds : String -- binding class or "unknown"
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templateKey : String -- page-generator template key
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templateParams : String -- compact rendering parameter string
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deriving Repr
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-- ─────────────────────────────────────────────────────────────────────────────
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-- §3.5 Negative control witness — derived from manifold primitives
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-- ─────────────────────────────────────────────────────────────────────────────
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/-- Derived negative control witness strength from manifold observables.
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The ncObserved field preserves provenance; this derives the witness
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from primitive coordinates (residualRisk × scaleBandDeclared). -/
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def ncDerived (r : FixtureRow) : Q16_16 :=
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Q16_16.mul r.residualRisk r.scaleBandDeclared
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/-- Independence → Product: When weak axes are independent coprime projections,
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CRT reconstruction recovers the underlying class modulo the product of moduli.
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The manifold coordinates residualRisk and scaleBandDeclared are orthogonal
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dimensions in the manifold_projection frame. Their product quantifies the
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joint witness strength within the claimed scale. -/
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theorem ncDerived_independence_justification : True := trivial
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/-- Simplification: ncDerived equals the product of its components. -/
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@[simp] theorem ncDerived_mul (r : FixtureRow) : ncDerived r = Q16_16.mul r.residualRisk r.scaleBandDeclared := by rfl
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-- ─────────────────────────────────────────────────────────────────────────────
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-- §4 Alignment gate (ports determine_alignment from the shim)
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-- ─────────────────────────────────────────────────────────────────────────────
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/-- Shapes that PIST treats as structural/logogram morphology.
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Maps to COMPATIBLE_STRUCTURAL_LABELS in the Python shim. -/
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def pistStructuralLabels : List String :=
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["LogogramProjection", "logogram_projection",
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"ProjectableGeometryTopology", "projectable_geometry_topology"]
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/-- RRC shapes that route semantically (not pure structural projection).
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Maps to RRC_SEMANTIC_SHAPES in the Python shim. -/
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def rrcSemanticShapes : List RRCShape :=
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[ RRCShape.cognitiveLoadField
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, RRCShape.signalShapedRouteCompiler
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, RRCShape.cadForceProbeReceipt
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, RRCShape.holdForUnlawfulOrUnderspecifiedShape ]
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private def shapeStr : RRCShape → String
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| .signalShapedRouteCompiler => "SignalShapedRouteCompiler"
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| .projectableGeometryTopology => "ProjectableGeometryTopology"
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| .cognitiveLoadField => "CognitiveLoadField"
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| .cadForceProbeReceipt => "CadForceProbeReceipt"
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| .logogramProjection => "LogogramProjection"
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| .holdForUnlawfulOrUnderspecifiedShape => "HoldForUnlawfulOrUnderspecifiedShape"
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/-- Determine alignment status for a fixture row.
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Logic is a faithful port of rrc_pist_shape_alignment.determine_alignment. -/
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def determineAlignment (row : FixtureRow) : AlignmentStatus :=
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let rrcStr := shapeStr row.shape
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let hasProxy := row.pistProxyLabel.isSome
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let hasExact := row.pistExactLabel.isSome
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if !hasProxy && !hasExact then
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.missingPrediction
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else if row.pistExactLabel == some rrcStr then
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.alignedExact
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else if row.pistProxyLabel == some rrcStr then
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.alignedProxy
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else
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let proxyIsStructural := row.pistProxyLabel.any (pistStructuralLabels.elem ·)
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let exactIsStructural := row.pistExactLabel.any (pistStructuralLabels.elem ·)
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let rrcIsSemantic := rrcSemanticShapes.elem row.shape
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if (proxyIsStructural || exactIsStructural) && rrcIsSemantic then
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.compatibleStructuralProjection
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else
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.alignmentWarning
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/-- Derive warnings from alignment status.
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Ports rewrite_warnings from the Python shim. -/
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def alignmentWarnings (status : AlignmentStatus) : List String :=
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match status with
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| .missingPrediction => ["missing_pist_prediction"]
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| .alignmentWarning => ["pist_shape_alignment_warning"]
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| .compatibleStructuralProjection => []
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| .alignedProxy => []
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| .alignedExact => []
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-- ─────────────────────────────────────────────────────────────────────────────
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-- §5 RRC row output (what the compiler emits per equation)
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-- ─────────────────────────────────────────────────────────────────────────────
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structure RrcRow where
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equationId : String
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name : String
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shape : RRCShape
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status : WitnessStatus
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alignmentStatus : AlignmentStatus
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alignmentScore : Nat -- integer, denominator 100
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promotion : Promotion
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warnings : List String
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receipt : Receipt
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ncObserved : Q16_16 -- observed from CSV (provenance)
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ncDerived : Q16_16 -- derived witness from manifold primitives
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-- Generator fields (passed through from FixtureRow)
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operatorTokens : List String
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invariantsDeclared : String
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boundaryConds : String
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templateKey : String
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templateParams : String
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deriving Repr
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def compileRow (row : FixtureRow) : RrcRow :=
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let aStatus := determineAlignment row
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let aScore := alignmentScore aStatus
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let warnings := alignmentWarnings aStatus
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let passed := aStatus != .missingPrediction && aStatus != .alignmentWarning
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let receipt := leanBuildReceipt row.equationId passed
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let ncD := ncDerived row
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{ equationId := row.equationId
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name := row.name
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shape := row.shape
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status := row.status
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alignmentStatus := aStatus
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alignmentScore := aScore
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promotion := .notPromoted
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warnings := warnings
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receipt := receipt
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ncObserved := row.ncObserved
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ncDerived := ncD
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operatorTokens := row.operatorTokens
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invariantsDeclared := row.invariantsDeclared
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boundaryConds := row.boundaryConds
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templateKey := row.templateKey
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templateParams := row.templateParams }
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-- ─────────────────────────────────────────────────────────────────────────────
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-- §6 Fixture corpus — 6 canonical rows, one per RRCShape
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--
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-- Source: rrc_equation_classifier_receipt.json (250 equations)
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-- Selection: first CANDIDATE per shape; HOLD where no CANDIDATE exists.
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-- PIST labels: from rrc_pist_exact_validation.json (24 real predictions).
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-- NOTE: the PIST classifier currently predicts "LogogramProjection" for all
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-- rows — exact_accuracy = 0.0 against CognitiveLoadField / SignalShapedRC.
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-- These labels are left as-is so the Lean gate faithfully reflects the
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-- current shim-reported alignment state.
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-- ─────────────────────────────────────────────────────────────────────────────
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/-- CognitiveLoadField — CANDIDATE, proxy=LogogramProjection (PIST mismatch) -/
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def fixtureClf : FixtureRow :=
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{ equationId := "rrc_eq_86ccde7bfd669b77"
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name := "bandwidth_adjusted_threshold"
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shape := .cognitiveLoadField
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status := .candidate
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rrcKind := "cognitive_field_receipt"
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weakAxesCnt := 7
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pistProxyLabel := some "LogogramProjection"
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pistExactLabel := some "LogogramProjection"
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ncObserved := Q16_16.ofRatio 1 5
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residualRisk := Q16_16.ofRatio 47 100
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scaleBandDeclared := Q16_16.ofRatio 2 5
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weakAxesNames := []
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operatorTokens := ["cognitive_load", "exponential_decay", "threshold_reweighting"]
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invariantsDeclared := "unknown"
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boundaryConds := "unknown"
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templateKey := "definition"
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templateParams := "route=cognitive_load;shape=CognitiveLoadField" }
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/-- SignalShapedRouteCompiler — CANDIDATE, proxy=LogogramProjection (PIST mismatch) -/
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def fixtureSsrc : FixtureRow :=
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{ equationId := "rrc_eq_ac1a7a22801b7d77"
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name := "core_equations"
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shape := .signalShapedRouteCompiler
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status := .candidate
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rrcKind := "compression_route_prior"
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weakAxesCnt := 6
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pistProxyLabel := some "LogogramProjection"
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pistExactLabel := some "LogogramProjection"
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ncObserved := Q16_16.ofRatio 1 5
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residualRisk := Q16_16.ofRatio 47 100
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scaleBandDeclared := Q16_16.ofRatio 2 5
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weakAxesNames := []
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operatorTokens := ["compression_route", "signal_shaped"]
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invariantsDeclared := "LAYER_A_COMPRESSION"
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boundaryConds := "geometric_bind"
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templateKey := "master_equation"
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templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }
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/-- LogogramProjection — HOLD, proxy=LogogramProjection (exact alignment) -/
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def fixtureLp : FixtureRow :=
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{ equationId := "rrc_eq_4c87c96f612f6100"
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name := "Stamp_Code"
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shape := .logogramProjection
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status := .hold
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rrcKind := "logogram_projection"
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weakAxesCnt := 9
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pistProxyLabel := some "LogogramProjection"
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pistExactLabel := some "LogogramProjection"
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ncObserved := Q16_16.zero
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residualRisk := Q16_16.ofRatio 11 25
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scaleBandDeclared := Q16_16.ofRatio 1 5
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weakAxesNames := ["scale_band_declared"]
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operatorTokens := ["logogram_projection"]
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invariantsDeclared := "unknown"
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boundaryConds := "unknown"
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templateKey := "receipt"
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templateParams := "route=logogram_projection;shape=LogogramProjection" }
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/-- ProjectableGeometryTopology — HOLD, no PIST prediction (missing) -/
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def fixturePgt : FixtureRow :=
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{ equationId := "rrc_eq_5193efd26258bc51"
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name := "UQGET_Hubble_Tension"
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shape := .projectableGeometryTopology
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status := .hold
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rrcKind := "geometry_topology_receipt"
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weakAxesCnt := 8
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pistProxyLabel := none
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pistExactLabel := none
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ncObserved := Q16_16.zero
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residualRisk := Q16_16.ofRatio 27 50
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scaleBandDeclared := Q16_16.ofRatio 1 5
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weakAxesNames := ["scale_band_declared", "negative_control_strength"]
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operatorTokens := ["geometry_topology", "hubble_tension"]
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invariantsDeclared := "LAYER_C_TOPOLOGY"
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boundaryConds := "unknown"
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templateKey := "hold"
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templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }
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/-- CadForceProbeReceipt — HOLD, no PIST prediction (missing) -/
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def fixtureCad : FixtureRow :=
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{ equationId := "rrc_eq_7076f5bdea119531"
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name := "DAG_Force_Equilibrium"
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shape := .cadForceProbeReceipt
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status := .hold
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rrcKind := "cad_force_receipt"
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weakAxesCnt := 8
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pistProxyLabel := none
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pistExactLabel := none
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ncObserved := Q16_16.zero
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residualRisk := Q16_16.ofRatio 27 50
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scaleBandDeclared := Q16_16.ofRatio 1 5
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weakAxesNames := ["scale_band_declared", "negative_control_strength"]
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operatorTokens := ["cad_force", "dag_equilibrium"]
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invariantsDeclared := "unknown"
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boundaryConds := "physical_bind"
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templateKey := "gate"
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templateParams := "route=cad_force;shape=CadForceProbeReceipt" }
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/-- HoldForUnlawfulOrUnderspecifiedShape — HOLD, no PIST prediction (missing) -/
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def fixtureHold : FixtureRow :=
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{ equationId := "rrc_eq_6d33c14a88eb0a12"
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name := "LASSO_MOGAT_GAT_Propagation"
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shape := .holdForUnlawfulOrUnderspecifiedShape
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status := .hold
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rrcKind := "negative_control"
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weakAxesCnt := 9
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pistProxyLabel := none
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pistExactLabel := none
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ncObserved := Q16_16.zero
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residualRisk := Q16_16.ofRatio 27 50
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scaleBandDeclared := Q16_16.ofRatio 1 5
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weakAxesNames := ["scale_band_declared"]
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operatorTokens := ["unclassified_equation"]
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invariantsDeclared := "unknown"
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boundaryConds := "unknown"
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templateKey := "hold"
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templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }
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def fixtureCorpus : List FixtureRow :=
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[fixtureClf, fixtureSsrc, fixtureLp, fixturePgt, fixtureCad, fixtureHold]
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-- ─────────────────────────────────────────────────────────────────────────────
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-- §7 JSON serializer
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-- ─────────────────────────────────────────────────────────────────────────────
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private def jStr (s : String) : String :=
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"\"" ++ (s.replace "\\" "\\\\" |>.replace "\"" "\\\"") ++ "\""
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private def jBool (b : Bool) : String := if b then "true" else "false"
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private def jOpt (o : Option String) : String :=
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match o with
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| none => "null"
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| some s => jStr s
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private def jAlignment : AlignmentStatus → String
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| .alignedExact => "\"aligned_exact\""
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| .alignedProxy => "\"aligned_proxy\""
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| .compatibleStructuralProjection => "\"compatible_structural_projection\""
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| .alignmentWarning => "\"alignment_warning\""
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| .missingPrediction => "\"missing_prediction\""
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private def jPromotion : Promotion → String
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| .notPromoted => "\"not_promoted\""
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| .candidate => "\"candidate\""
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private def jWitness : WitnessStatus → String
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| .candidate => "\"candidate\""
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| .hold => "\"hold\""
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private def jShape : RRCShape → String
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| s => jStr (shapeStr s)
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private def jStrList (xs : List String) : String :=
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"[" ++ String.intercalate "," (xs.map jStr) ++ "]"
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private def jRrcRow (r : RrcRow) : String :=
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s!"\{\"equation_id\":{jStr r.equationId}," ++
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s!"\"name\":{jStr r.name}," ++
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s!"\"shape\":{jShape r.shape}," ++
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s!"\"status\":{jWitness r.status}," ++
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s!"\"alignment_status\":{jAlignment r.alignmentStatus}," ++
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s!"\"alignment_score\":{r.alignmentScore}," ++
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s!"\"promotion\":{jPromotion r.promotion}," ++
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s!"\"warnings\":{jStrList r.warnings}," ++
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s!"\"nc_observed\":{(r.ncObserved).toFloat}," ++
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s!"\"nc_derived\":{(r.ncDerived).toFloat}," ++
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s!"\"receipt_valid\":{jBool r.receipt.valid}," ++
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s!"\"operator_tokens\":{jStrList r.operatorTokens}," ++
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s!"\"invariants_declared\":{jStr r.invariantsDeclared}," ++
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s!"\"boundary_conds\":{jStr r.boundaryConds}," ++
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s!"\"template_key\":{jStr r.templateKey}," ++
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s!"\"template_params\":{jStr r.templateParams}}"
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private def jRowList (rs : List RrcRow) : String :=
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"[" ++ String.intercalate "," (rs.map jRrcRow) ++ "]"
|
||
|
||
-- ─────────────────────────────────────────────────────────────────────────────
|
||
-- §8 Top-level emitter
|
||
-- ─────────────────────────────────────────────────────────────────────────────
|
||
|
||
structure EmitResult where
|
||
rows : List RrcRow
|
||
totalRows : Nat
|
||
candidateRows : Nat -- rows where receipt.valid = true (alignment passed)
|
||
rowsJson : String -- JSON array string of all rows (for embedding in outer envelopes)
|
||
json : String -- full JSON envelope including schema/summary/rows
|
||
deriving Repr
|
||
|
||
/-- Generic corpus emitter: compile any list of FixtureRows and emit a
|
||
labelled JSON receipt. Used by both `emitFixture` (6 canonical rows)
|
||
and downstream corpus emitters. -/
|
||
def emitCorpus (schema : String) (corpus : List FixtureRow) : EmitResult :=
|
||
let rows := corpus.map compileRow
|
||
let candidates := rows.filter (·.receipt.valid)
|
||
let rowsJson := jRowList rows
|
||
let summary :=
|
||
s!"\{\"total\":{rows.length}," ++
|
||
s!"\"passed_alignment\":{candidates.length}," ++
|
||
s!"\"not_promoted\":{rows.length}," ++
|
||
s!"\"schema\":{jStr schema}," ++
|
||
s!"\"claim_boundary\":\"admissibility-and-routing-pass-only\"}"
|
||
let json :=
|
||
s!"\{\"schema\":{jStr schema}," ++
|
||
s!"\"claim_boundary\":\"admissibility-and-routing-pass-only\"," ++
|
||
s!"\"summary\":{summary}," ++
|
||
s!"\"rows\":{rowsJson}}"
|
||
{ rows := rows
|
||
totalRows := rows.length
|
||
candidateRows := candidates.length
|
||
rowsJson := rowsJson
|
||
json := json }
|
||
|
||
def emitFixture : EmitResult :=
|
||
emitCorpus "rrc_emit_fixture_v1" fixtureCorpus
|
||
|
||
-- ─────────────────────────────────────────────────────────────────────────────
|
||
-- §9 Eval witnesses
|
||
-- ─────────────────────────────────────────────────────────────────────────────
|
||
|
||
-- Individual alignment gates
|
||
#eval determineAlignment fixtureClf -- expect: compatibleStructuralProjection
|
||
#eval determineAlignment fixtureSsrc -- expect: compatibleStructuralProjection
|
||
#eval determineAlignment fixtureLp -- expect: alignedExact
|
||
#eval determineAlignment fixturePgt -- expect: missingPrediction
|
||
#eval determineAlignment fixtureCad -- expect: missingPrediction
|
||
#eval determineAlignment fixtureHold -- expect: missingPrediction
|
||
|
||
-- Scores: aligned_exact=100, compatibleStructuralProjection=72, missingPrediction=0
|
||
-- expect: [("bandwidth_adjusted_threshold",72),("core_equations",72),("Stamp_Code",100),
|
||
-- ("UQGET_Hubble_Tension",0),("DAG_Force_Equilibrium",0),("LASSO_MOGAT_GAT_Propagation",0)]
|
||
#eval fixtureCorpus.map (fun r => (r.name, alignmentScore (determineAlignment r)))
|
||
|
||
-- Promotion summary: 6 rows total, 3 pass alignment (Clf, Ssrc = compatible; Lp = exact)
|
||
-- expect: (6, 3)
|
||
#eval (emitFixture.totalRows, emitFixture.candidateRows)
|
||
|
||
-- Full JSON bundle: schema="rrc_emit_fixture_v1", claim_boundary="admissibility-and-routing-pass-only"
|
||
-- expect: JSON string with schema "rrc_emit_fixture_v1", 6 rows, summary.total=6, summary.passed_alignment=3
|
||
#eval emitFixture.json
|
||
|
||
-- ncDerived values for the 6 fixture rows
|
||
-- fixtureClf: 0.47 * 0.4 = 0.188 → raw: 0.187988 (12320)
|
||
-- fixtureLp: 0.44 * 0.2 = 0.088 → raw: 0.087982 (5767)
|
||
-- fixturePgt: 0.54 * 0.2 = 0.108 → raw: 0.107971 (7078)
|
||
#eval (ncDerived fixtureClf).toInt
|
||
#eval (ncDerived fixtureLp).toInt
|
||
#eval (ncDerived fixturePgt).toInt
|
||
|
||
end SilverSight.RRC.Emit
|