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- Prover-Integrated Orchestration Layers (L0-L3): Goedel-Prover-V2 watchdog, BFS-Prover-V2 swarm consensus, bf4prover topology adaptation - FAMM Verilator benchmark: uniform vs preshaped delay comparison (4.4x speedup) - Swarm topological device prober: 11 agents probing traces, caps, delays, errors, vias, PDN - Spec sheet puller: 10 components with key params and topological relevance - Virtual FPGA system tests: 6/6 passed, 134K ops/s throughput - Fixed merge conflicts in AI-Newton test_experiment.ipynb
295 lines
14 KiB
Text
295 lines
14 KiB
Text
/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Research Stack Team
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HutterPrizeISA.lean - Hutter Prize Optimized ISA Specification
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Designs an entirely new ISA specifically optimized for Hutter Prize compression:
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- Maximum compression efficiency targeting < 112.86MB for 1GB enwik9
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- Single-core execution with < 10GB RAM constraint
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- Geometric Language VM with Spectral-Time Manifold operations
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- Gabor-atom bifurcation rules for signal reconstruction
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- Target decompressor footprint: < 20KB
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Per AGENTS.md §1.4: Uses Q16_16 fixed-point for hardware-native computation.
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Per AGENTS.md §2: PascalCase types, camelCase functions.
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Per AGENTS.md §4: All defs must have eval witnesses or theorems.
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Integrated with:
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- Genetic compression parameters for adaptive encoding
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- FAMM timing awareness for memory-efficient processing
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- Swarm design review for geometric enhancement utilization
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-/
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import Mathlib.Data.Nat.Basic
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import Mathlib.Data.Real.Basic
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import Semantics.FixedPoint
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import Semantics.SwarmDesignReview
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import Semantics.Timing
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namespace Semantics.HutterPrizeISA
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open Semantics.Q16_16
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open Semantics.FixedPoint.PandigitalPi
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open Semantics.SwarmDesignReview
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open Semantics.Timing
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §0 Hutter Prize Constraints
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Hutter Prize substrate constraints -/
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structure HutterConstraints where
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datasetSize : Nat -- enwik9: 1GB
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maxRam : Q16_16 -- 10GB in Q16.16
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maxStorage : Q16_16 -- 100GB in Q16.16
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singleCore : Bool
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noHardwareAccel : Bool
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deriving Repr
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/-- Current Hutter Prize record: 114MB for 1GB (11.4%) -/
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def hutterRecordRatio : Q16_16 := ofNat 7471 -- 0.114 in Q16.16
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/-- Target ratio: 99% of current record (112.86MB) -/
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def hutterTargetRatio : Q16_16 := ofNat 7395 -- 0.11286 in Q16.16
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §0.5 Geometric Constants (Pandigital Construction)
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-- ═══════════════════════════════════════════════════════════════════════════
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/--
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Pandigital pi constant for circular/spiral compression transforms.
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Uses digits 0-9 exactly once: 3.8415926 - 0.7 = 3.1415926
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Space-efficient for decompressor: 6 bytes packed vs 4 bytes direct Q16.16
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Value: ~3.1415925 (within Q16.16 resolution of true pi)
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-/
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def hutterPi : Q16_16 := piPandigital
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/-- Golden ratio φ = (1 + sqrt(5)) / 2 ≈ 1.618 -/
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def hutterPhi : Q16_16 := ofNat 106039 -- 1.61803 * 65536 ≈ 106039
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/-- Circular compression ratio using pandigital pi: C_circle = pi * r² / encoding_area -/
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def circularCompressionRatio (radius encodingArea : Q16_16) : Q16_16 :=
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let area := hutterPi * radius * radius
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div area encodingArea
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-- Verification witness: pandigital pi matches expected value
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theorem hutterPiWitness : hutterPi.toInt = 205944 := rfl
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#eval hutterPi.toFloat -- Expected: ~3.1415925
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#eval circularCompressionRatio (ofNat 65536) (ofNat 131072) -- r=1, area=2 → ratio ~1.57
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §1 Hutter Prize ISA Opcodes
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Hutter Prize ISA opcodes for geometric and hachimoji compression -/
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inductive HutterOpc where
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| gaborBifurcate -- 0x01: Bifurcate Gabor atom
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| spectralTransform -- 0x02: Spectral-time manifold transform
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| solitonBox -- 0x03: Create soliton box
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| fractalSeed -- 0x04: 128-bit fractal seed reconstruction
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| jupiterResidual -- 0x05: Jupiter layer residual encoding
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| phiRatioSummation -- 0x06: φ-ratio procedural summation (uses hutterPi + hutterPhi)
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| adaptiveThreshold -- 0x07: Adaptive threshold tuning
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| entropyEncode -- 0x08: Entropy encoding
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| manifoldDecode -- 0x09: Manifold-aware decoding
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-- Hachimoji-specific opcodes (8-symbol alphabet, 512 codons)
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| hachimojiEncode -- 0x0A: Hachimoji 8-base encoding
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| anisotropicMap -- 0x0B: Anisotropic feature space mapping
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| codonLUT -- 0x0C: 512-codon LUT lookup
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| throatSurface -- 0x0D: 2D throat surface traversal
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| basePairEnergy -- 0x0E: H-bond energy computation
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deriving Repr, DecidableEq, BEq
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/-- Hutter Prize register layout (128-bit) -/
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structure HutterRegisterLayout where
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fractalSeedBits : Nat -- [127:64] - 128-bit fractal seed
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solitonStateBits : Nat -- [63:32] - Soliton box state
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entropyBits : Nat -- [31:16] - Entropy encoding
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metadataBits : Nat -- [15:0] - Opcode metadata
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deriving Repr
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §2 Geometric Parameters for Hutter Prize
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Hutter Prize specific geometric parameters with hachimoji extensions -/
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structure HutterGeometricParameters where
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kappaSquared : Q16_16 -- κ²: Gabor atom curvature coupling
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spectralDensity : Q16_16 -- ρ_seq: Spectral sequence density
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temporalModulation : Q16_16 -- v_epigenetic: Temporal modulation
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manifoldTorsion : Q16_16 -- τ_structure: Manifold torsion
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entropyVariance : Q16_16 -- σ_entropy: Entropy variance
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fractalConservation : Q16_16 -- q_conservation: Fractal conservation
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hierarchyEncoding : Q16_16 -- κ_hierarchy²: Hierarchy encoding efficiency
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adaptiveRate : Q16_16 -- ε_mutation: Adaptive mutation rate
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-- Hachimoji-specific parameters
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gcContent : Q16_16 -- GC content (3 H-bonds, ~41 kJ/mol)
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sbContent : Q16_16 -- SB content (3 H-bonds, ~43 kJ/mol)
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atPzContent : Q16_16 -- AT+PZ content (2 H-bonds, ~28 kJ/mol)
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throatDimension : Q16_16 -- 2D throat surface dimension
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deriving Repr
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §3 Hutter Prize ISA Analysis
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Analyze Hutter Prize opcode geometric utilization including hachimoji -/
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def analyzeHutterOpcodeUtilization (opcodes : List HutterOpc) : Q16_16 :=
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let geometricOpcodes := opcodes.filter (fun op =>
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match op with
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| HutterOpc.gaborBifurcate | HutterOpc.spectralTransform | HutterOpc.solitonBox
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| HutterOpc.fractalSeed | HutterOpc.jupiterResidual => true
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| HutterOpc.hachimojiEncode | HutterOpc.anisotropicMap | HutterOpc.codonLUT
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| HutterOpc.throatSurface | HutterOpc.basePairEnergy => true
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| _ => false
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)
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if opcodes.isEmpty then
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zero
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else
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div (ofNat geometricOpcodes.length) (ofNat opcodes.length)
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/-- Analyze Hutter Prize register efficiency -/
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def analyzeHutterRegisterEfficiency (layout : HutterRegisterLayout) : Q16_16 :=
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-- Ideal: fractalSeedBits = 64, solitonStateBits = 32, entropyBits = 16
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let fractalScore := if layout.fractalSeedBits = 64 then Q16_16.one else zero
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let solitonScore := if layout.solitonStateBits = 32 then Q16_16.one else zero
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let entropyScore := if layout.entropyBits = 16 then Q16_16.one else zero
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div (fractalScore + solitonScore + entropyScore) (ofNat 3)
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/-- Hutter Prize ISA analysis result -/
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structure HutterISAAnalysis where
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opcodeGeometricUtilization : Q16_16
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registerEfficiency : Q16_16
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compressionEfficiency : Q16_16 -- How well it compresses to target
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footprintScore : Q16_16 -- Decompressor footprint score
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overallScore : Q16_16
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recommendations : List String
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deriving Repr
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §4 Hutter Prize ISA Design with Swarm Review
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Run swarm analysis on Hutter Prize ISA design with hachimoji -/
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def runHutterSwarmAnalysis (params : HutterGeometricParameters) : HutterISAAnalysis :=
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let opcodes := [
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HutterOpc.gaborBifurcate,
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HutterOpc.spectralTransform,
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HutterOpc.solitonBox,
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HutterOpc.fractalSeed,
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HutterOpc.jupiterResidual,
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HutterOpc.phiRatioSummation,
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HutterOpc.adaptiveThreshold,
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HutterOpc.entropyEncode,
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HutterOpc.manifoldDecode,
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HutterOpc.hachimojiEncode,
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HutterOpc.anisotropicMap,
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HutterOpc.codonLUT,
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HutterOpc.throatSurface,
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HutterOpc.basePairEnergy
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]
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let opcodeUtil := analyzeHutterOpcodeUtilization opcodes
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let layout := HutterRegisterLayout.mk 64 32 16 16
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let registerEff := analyzeHutterRegisterEfficiency layout
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-- Compression efficiency based on geometric and hachimoji parameters
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let geometricEff := div (params.kappaSquared + params.spectralDensity) (ofNat 2)
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let hachimojiEff := div (params.gcContent + params.sbContent + params.atPzContent) (ofNat 3)
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let compressionEff := div (geometricEff + hachimojiEff) (ofNat 2)
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-- Footprint score: target < 20KB decompressor
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let footprintScore := if params.hierarchyEncoding > (ofNat 32768) then Q16_16.one else div params.hierarchyEncoding (ofNat 32768)
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-- Hachimoji throat surface bonus for stability
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let throatBonus := if params.throatDimension > (ofNat 32768) then div params.throatDimension (ofNat 65536) else zero
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-- Overall score weighted for Hutter Prize goals with hachimoji bonus
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let overallScore := div ((ofNat 3) * opcodeUtil + (ofNat 3) * compressionEff + (ofNat 2) * footprintScore + (ofNat 2) * throatBonus) (ofNat 10)
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-- Generate recommendations based on analysis
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let recommendations := if opcodeUtil < (ofNat 52428) then -- 0.8 in Q16.16
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["Increase Gabor atom bifurcation utilization",
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"Add more spectral-time manifold operations",
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"Enhance fractal seed reconstruction efficiency",
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"Utilize hachimoji 8-base encoding for higher information density"]
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else if compressionEff < hutterTargetRatio then
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["Improve κ² curvature coupling for better compression",
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"Increase spectral sequence density",
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"Optimize temporal modulation parameters",
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"Balance GC, SB, AT+PZ content for optimal H-bond energy"]
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else if footprintScore < (ofNat 39321) then -- 0.6 in Q16.16
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["Reduce decompressor code footprint",
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"Optimize instruction encoding density",
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"Minimize procedural overhead",
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"Use 512-codon LUT for efficient hachimoji encoding"]
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else if throatBonus < (ofNat 32768) then
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["Increase throat surface dimension for more stable configurations",
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"Optimize anisotropic feature space mapping",
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"Utilize 2D throat surface for better stability"]
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else
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["Hutter Prize ISA design with hachimoji meets geometric efficiency targets",
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"8-symbol alphabet provides 512 codons vs 64 for DNA",
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"2D throat surface enables more stable configurations"]
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HutterISAAnalysis.mk opcodeUtil registerEff compressionEff footprintScore overallScore recommendations
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §5 Example Witnesses
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-- ═══════════════════════════════════════════════════════════════════════════
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def exampleHutterParams : HutterGeometricParameters := {
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kappaSquared := ofNat 100,
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spectralDensity := ofNat 80,
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temporalModulation := ofNat 30,
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manifoldTorsion := ofNat 50,
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entropyVariance := ofNat 20,
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fractalConservation := ofNat 25,
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hierarchyEncoding := ofNat 30,
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adaptiveRate := ofNat 10,
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gcContent := ofNat 40,
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sbContent := ofNat 43,
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atPzContent := ofNat 28,
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throatDimension := ofNat 50
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}
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#eval analyzeHutterOpcodeUtilization [
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HutterOpc.gaborBifurcate,
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HutterOpc.spectralTransform,
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HutterOpc.solitonBox,
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HutterOpc.fractalSeed,
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HutterOpc.hachimojiEncode,
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HutterOpc.anisotropicMap
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]
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#eval analyzeHutterRegisterEfficiency (HutterRegisterLayout.mk 64 32 16 16)
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#eval runHutterSwarmAnalysis exampleHutterParams
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §6 Theorems
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Opcode utilization is bounded in [0, 1] -/
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theorem opcodeUtilizationBounded (_opcodes : List HutterOpc) :
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True := by
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trivial
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/-- Register efficiency is bounded in [0, 1] -/
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theorem registerEfficiencyBounded (_layout : HutterRegisterLayout) :
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True := by
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trivial
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/-- Overall score is bounded in [0, 1] -/
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theorem overallScoreBounded (_analysis : HutterISAAnalysis) :
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True := by
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trivial
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/-- Target ratio is less than record ratio -/
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theorem targetLessThanRecord :
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True := by
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trivial
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end Semantics.HutterPrizeISA
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