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60 lines
1.9 KiB
Text
60 lines
1.9 KiB
Text
import Semantics.Bind
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namespace Semantics.Hutter
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/--
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A HutterCell represents a pair of bytes decomposed into 4-bit nibbles.
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Matches the behavior of `byte_to_cell_pair` in the Python extraction target.
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-/
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structure HutterCell where
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n1 : UInt8
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n2 : UInt8
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n3 : UInt8
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n4 : UInt8
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/--
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The signature of a cell: the top 2 bits of each nibble.
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-/
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def signature (c : HutterCell) : (UInt8 × UInt8 × UInt8 × UInt8) :=
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((c.n1 >>> 2) &&& 0x03, (c.n2 >>> 2) &&& 0x03, (c.n3 >>> 2) &&& 0x03, (c.n4 >>> 2) &&& 0x03)
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/--
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HutterMetrics: Tracks the results of a cellular analysis.
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-/
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structure HutterMetrics where
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totalCells : UInt64
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admissiblePatches : UInt64
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promotionCandidates : UInt64
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/--
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The Admissibility Ratio: (admissible / total) scaled by Q16.16.
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-/
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def admissibilityRatio (m : HutterMetrics) : UInt32 :=
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if m.totalCells == 0 then 0
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else (m.admissiblePatches.toUInt32 * 0x00010000) / m.totalCells.toUInt32
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/--
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Invariant: A Hutter result is lawful if the admissibility ratio is above
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the Golden Threshold (0.618 ≈ 0x00009E37 in Q16.16).
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-/
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def hutterInvariant (m : HutterMetrics) : String :=
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let ratio := admissibilityRatio m
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if ratio >= 0x00009E37 then "lawful_hutter_compression"
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else "unlawful_hutter_drift"
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/--
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Cost function: Measures the informational cost of the Hutter result.
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Higher promotion candidates reduce the cost (more predictable structure).
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-/
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def hutterCost (m : HutterMetrics) (_g : Metric) : UInt32 :=
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let base : UInt32 := 0x00010000 -- 1.0
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let discount := (m.promotionCandidates.toUInt32 * 0x00000100) -- Small discount per candidate
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if discount >= base then 0x00000100 else base - discount
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/--
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The Hutter Bind: Connects the compression metrics to the research substrate.
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-/
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def hutterBind (metrics : HutterMetrics) (target : String) (g : Metric) : Bind HutterMetrics String :=
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controlBind metrics target g (fun m _ _ => hutterCost m g) hutterInvariant (fun _ => "hutter_compression_verified")
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end Semantics.Hutter
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