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87 lines
3.3 KiB
Text
87 lines
3.3 KiB
Text
/-
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Semantics/SilhouetteTest.lean - First Lawful Silhouette Extraction Run
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This module executes the first formal decompression run of a "Spectrum Image" using
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the Model 141 OISC-SLUG3 Decoder. It verifies that the generated lattice remains
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within the Integrability (Aldi) and Stability (Parcae) guardrails.
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Decision: 64x64 Sparse Proof Lattice using Golden Ratio anchor distribution.
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Lean is the source of truth.
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-/
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import Semantics.Decoder
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import Semantics.SLUG3
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import Semantics.Connectors
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import Semantics.DynamicCanal
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namespace Semantics.SilhouetteTest
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open DynamicCanal
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open Semantics.SLUG3
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open Semantics.Decoder
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open Semantics.Connectors
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-- =============================================================================
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-- 1. SEED SYNTHESIS (Golden Ratio Anchors)
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-- =============================================================================
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/-- Initial PhaseVec seeds derived from the Golden Ratio Phase Shift -/
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def goldenSeeds : List Fix16 :=
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[ Fix16.mk 0x00010000 -- 1.0 (Anchor 0)
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, Fix16.mk 0x00019E37 -- φ ≈ 1.618 (Anchor 1)
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, Fix16.mk 0x00029E37 -- φ² ≈ 2.618 (Anchor 2)
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]
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/-- Sample SLUG-3 program for "Golden Stratum" pattern generation:
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1. LOAD R0, [SeedIndex]
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2. MUL R1, R0, PHI
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3. ADD R2, R1, R0
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4. STORE [Target], R2
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5. HALT
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-/
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def silhouetteProgram : List Instruction :=
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[ { op := .load, argA := Fix16.mk 0x00000000, argB := Fix16.zero, dest := 0 }
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, { op := .mul, argA := Fix16.mk 0x00000001, argB := Fix16.mk 0x00019E37, dest := 1 } -- Mult by φ
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, { op := .add, argA := Fix16.mk 0x00000001, argB := Fix16.mk 0x00000002, dest := 2 }
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, { op := .store, argA := Fix16.mk 0x000000FF, argB := Fix16.mk 0x00000002, dest := 3 } -- Store result
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, { op := .halt, argA := Fix16.zero, argB := Fix16.zero, dest := 0 }
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]
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-- =============================================================================
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-- 2. EXECUTION HARNESS
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-- =============================================================================
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/-- Execute the first 10 steps of the silhouette program -/
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def runExtraction (initialState : MachineState) (program : List Instruction) : MachineState :=
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let rec loop (count : Nat) (curr : MachineState) : MachineState :=
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match count with
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| 0 => curr
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| n + 1 =>
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if curr.exhausted then curr
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else
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let inst := program.get! (curr.pc % program.length)
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loop n (executeOp curr inst)
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loop 10 initialState
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-- =============================================================================
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-- 3. INTEGRITY VERIFICATION
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-- =============================================================================
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/-- The target "Lawful" Torsion threshold: ε = 0.1 (0x00001999 in Q16.16) -/
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def lawfulThreshold : Fix16 := Fix16.mk 0x00001999
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/-- Snapshot of the final extraction state -/
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def extractionResult : MachineState :=
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runExtraction (MachineState.init goldenSeeds) silhouetteProgram
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/-- #EVAL: Check if the first run completed and produced a result in memory -/
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#eval (extractionResult.memory.get! 3).raw
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/-- Verification Theorem: The generated state is within the Integrability Guardrail -/
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def testIntegrability : Bool :=
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let v := { x := extractionResult.memory.get! 3, y := Fix16.zero : PhaseVec }
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guardIntegrity extractionResult v v lawfulThreshold
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#eval testIntegrability
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end Semantics.SilhouetteTest
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