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229 lines
11 KiB
Text
229 lines
11 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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GemmaIntegration.lean — Gemma 4 Integration Prompt Routing
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Replaces infra/gemma_4_integration.py prompt routing logic with a formal Lean module.
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Defines Gemma 4 model variants, task types, and prompt routing logic.
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Per AGENTS.md:
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- Q16_16 for scoring (§1.4)
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- PascalCase types, camelCase functions (§2)
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- Theorems for correctness (§4)
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- No proof placeholders in committed code (§1.6)
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-/
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import Mathlib.Data.Nat.Basic
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import Mathlib.Data.List.Basic
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import Std
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namespace Semantics.GemmaIntegration
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §0 Q16_16 Fixed-Point Arithmetic
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-- ═══════════════════════════════════════════════════════════════════════════
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structure Q16_16 where
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raw : Int
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deriving Repr, DecidableEq, Inhabited
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namespace Q16_16
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def zero : Q16_16 := ⟨0⟩
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def one : Q16_16 := ⟨65536⟩
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def ofFrac (num denom : Nat) : Q16_16 :=
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if denom = 0 then zero else ⟨(num * 65536) / denom⟩
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end Q16_16
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §1 Gemma Variant Enumeration
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-- ═══════════════════════════════════════════════════════════════════════════
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inductive GemmaVariant where
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| e2B : GemmaVariant -- 2B effective parameters, audio support
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| e4B : GemmaVariant -- 4B effective parameters, audio support - RECOMMENDED
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| e31B : GemmaVariant -- 31B dense model
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| e26B_A4B : GemmaVariant -- 26B total, 4B active MoE
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deriving Repr, DecidableEq, Inhabited
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/-- Get model size in billions of parameters -/
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def gemmaVariantSize (variant : GemmaVariant) : Nat :=
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match variant with
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| GemmaVariant.e2B => 2
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| GemmaVariant.e4B => 4
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| GemmaVariant.e31B => 31
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| GemmaVariant.e26B_A4B => 26
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/-- Check if variant supports audio -/
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def supportsAudio (variant : GemmaVariant) : Bool :=
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match variant with
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| GemmaVariant.e2B => true
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| GemmaVariant.e4B => true
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| GemmaVariant.e31B => false
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| GemmaVariant.e26B_A4B => false
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/-- Check if variant is MoE (Mixture of Experts) -/
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def isMoEModel (variant : GemmaVariant) : Bool :=
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match variant with
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| GemmaVariant.e26B_A4B => true
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| _ => false
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §2 Gemma Task Enumeration
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-- ═══════════════════════════════════════════════════════════════════════════
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inductive GemmaTask where
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| textGeneration : GemmaTask
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| multimodalProcessing : GemmaTask
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| audioTranscription : GemmaTask
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| imageUnderstanding : GemmaTask
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| reasoning : GemmaTask
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| codeGeneration : GemmaTask
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| functionCalling : GemmaTask
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deriving Repr, DecidableEq, Inhabited
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/-- Check if task requires audio support -/
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def requiresAudio (task : GemmaTask) : Bool :=
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match task with
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| GemmaTask.audioTranscription => true
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| _ => false
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/-- Check if task requires multimodal support -/
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def requiresMultimodal (task : GemmaTask) : Bool :=
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match task with
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| GemmaTask.multimodalProcessing => true
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| GemmaTask.imageUnderstanding => true
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| _ => false
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §3 Task Request Structure
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-- ═══════════════════════════════════════════════════════════════════════════
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inductive TaskStatus where
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| pending : TaskStatus
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| inProgress : TaskStatus
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| completed : TaskStatus
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| failed : TaskStatus
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deriving Repr, DecidableEq, Inhabited
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structure GemmaTaskRequest where
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taskId : String
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taskType : GemmaTask
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variant : GemmaVariant
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enableThinking : Bool
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maxTokens : Nat
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priority : Nat
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status : TaskStatus
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createdAt : Nat
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deriving Repr, Inhabited
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §4 Variant-Task Compatibility
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Check if variant is compatible with task -/
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def isVariantCompatible (variant : GemmaVariant) (task : GemmaTask) : Bool :=
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let needsAudio := requiresAudio task
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let hasAudio := supportsAudio variant
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let needsMultimodal := requiresMultimodal task
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let isMoE := isMoEModel variant
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-- Audio tasks require audio support
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if needsAudio ∧ ¬hasAudio then
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false
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-- Multimodal tasks prefer non-MoE for consistency
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else if needsMultimodal ∧ isMoE then
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false
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else
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true
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/-- Get recommended variant for task -/
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def getRecommendedVariant (task : GemmaTask) : GemmaVariant :=
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if requiresAudio task then
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GemmaVariant.e4B -- E4B has audio support
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else if requiresMultimodal task then
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GemmaVariant.e4B -- E4B is recommended default
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else
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GemmaVariant.e4B -- E4B is default for all tasks
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-- ═══════════════════════════════════════════════════════════════════════════
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §5 Performance Metrics
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-- ═══════════════════════════════════════════════════════════════════════════
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structure PerformanceMetrics where
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variant : GemmaVariant
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totalTasks : Nat
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avgLatency : Q16_16 -- in seconds
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avgTokensPerSecond : Q16_16
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lastUpdated : Nat
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deriving Repr, Inhabited
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structure MetricsRegistry where
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metrics : List PerformanceMetrics
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deriving Repr, Inhabited
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/-- Initialize empty metrics registry -/
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def initMetricsRegistry : MetricsRegistry :=
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{ metrics := [] }
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/-- Update performance metrics for variant -/
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def updateMetrics (registry : MetricsRegistry) (variant : GemmaVariant) (latency tokensPerSec : Q16_16) (currentTime : Nat) : MetricsRegistry :=
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match registry.metrics.find? (·.variant = variant) with
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| some existing =>
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let newTotal := existing.totalTasks + 1
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let newLatency := Q16_16.ofFrac (existing.avgLatency.raw.toNat + latency.raw.toNat) (existing.totalTasks + 1)
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let newTps := Q16_16.ofFrac (existing.avgTokensPerSecond.raw.toNat + tokensPerSec.raw.toNat) (existing.totalTasks + 1)
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let newMetric := { variant := variant, totalTasks := newTotal, avgLatency := newLatency, avgTokensPerSecond := newTps, lastUpdated := currentTime }
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let newMetrics := registry.metrics.map (fun m => if m.variant = variant then newMetric else m)
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{ registry with metrics := newMetrics }
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| none =>
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let newMetric := { variant := variant, totalTasks := 1, avgLatency := latency, avgTokensPerSecond := tokensPerSec, lastUpdated := currentTime }
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{ registry with metrics := newMetric :: registry.metrics }
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/-- Get metrics for specific variant -/
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def getVariantMetrics (registry : MetricsRegistry) (variant : GemmaVariant) : Option PerformanceMetrics :=
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registry.metrics.find? (·.variant = variant)
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §6 Theorems
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- E4B variant supports audio -/
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theorem e4BSupportsAudio : supportsAudio GemmaVariant.e4B = true := by
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rfl
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/-- E4B variant is not MoE -/
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theorem e4BIsNotMoE : isMoEModel GemmaVariant.e4B = false := by
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rfl
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/-- Audio transcription task requires audio -/
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theorem audioTranscriptionRequiresAudio : requiresAudio GemmaTask.audioTranscription = true := by
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rfl
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/-- E4B is compatible with text generation -/
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theorem e4BCompatibleWithTextGen : isVariantCompatible GemmaVariant.e4B GemmaTask.textGeneration = true := by
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rfl
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/-- Empty metrics registry has no metrics -/
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theorem emptyRegistryHasNoMetrics : (initMetricsRegistry).metrics.length = 0 := by
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rfl
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-- ═══════════════════════════════════════════════════════════════════════════
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §7 Example Usage
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-- ═══════════════════════════════════════════════════════════════════════════
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#eval gemmaVariantSize GemmaVariant.e4B
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#eval supportsAudio GemmaVariant.e2B
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#eval isMoEModel GemmaVariant.e26B_A4B
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#eval requiresAudio GemmaTask.audioTranscription
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#eval requiresMultimodal GemmaTask.multimodalProcessing
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#eval isVariantCompatible GemmaVariant.e4B GemmaTask.textGeneration
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#eval getRecommendedVariant GemmaTask.audioTranscription
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#eval let registry := initMetricsRegistry
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let registry2 := updateMetrics registry GemmaVariant.e4B (Q16_16.ofFrac 150 100) (Q16_16.ofFrac 50 1) 1000
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getVariantMetrics registry2 GemmaVariant.e4B
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end Semantics.GemmaIntegration
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