/- SwarmMoERewiring.lean — Swarm-Driven MoE Expert Rewiring This module integrates the swarm competition system with the ηMoE (Mixture-of-Experts) cognitive efficiency system to enable dynamic expert rewiring based on swarm performance metrics. Per AGENTS.md §0: Lean is the source of truth. Per AGENTS.md §1.4: Q16_16 fixed-point for all computation. Per AGENTS.md §2: PascalCase types, camelCase functions. Integration: - EtaMoE.lean (Mixture-of-Experts cognitive efficiency) - SubagentOrchestrator.lean (Domain expert subagents) - SwarmCompetition.lean (Hardware-native competition) - LeanGPTTSMLayer.lean (LeanGPT capabilities) -/ import Semantics.FixedPoint import Semantics.EtaMoE import Semantics.SubagentOrchestrator import Semantics.SwarmCompetition namespace Semantics.SwarmMoERewiring open Semantics.Q16_16 -- ============================================================================ -- §1: Swarm Expert Mapping -- ============================================================================ /-- Map swarm agent to MoE expert -/ structure SwarmExpertMapping where agentId : SwarmCompetition.AgentId expertId : Nat -- Expert ID in EtaMoE system domain : SubagentOrchestrator.Domain performanceScore : Q16_16 lastRewired : Q16_16 -- Timestamp deriving Repr, Inhabited /-- Expert rewiring proposal from swarm -/ structure ExpertRewiringProposal where expertId : Nat proposedGatingWeight : Q16_16 -- New g_k value proposedQualityWeight : Q16_16 -- New w_k value rationale : String swarmConsensus : Q16_16 -- 0-1, higher is stronger consensus proposingAgent : SwarmCompetition.AgentId deriving Repr, Inhabited -- ============================================================================ -- §2: Swarm-Driven Expert Selection -- ============================================================================ /-- Calculate optimal gating weight based on swarm performance -/ def calculateOptimalGatingWeight ( mapping : SwarmExpertMapping ) (leaderboard : SwarmCompetition.Leaderboard) : Q16_16 := -- Higher swarm performance → higher gating weight let agentRecord := leaderboard.entries.find? (fun e => e.agentId = mapping.agentId) match agentRecord with | some entry => -- Normalize score to [0,1] range for gating let normalized := if entry.score > one then one else entry.score normalized | none => ofNat 50 -- Default 0.5 if no record /-- Rewire expert based on swarm proposal -/ def rewireExpert ( expert : EtaMoE.Expert ) (proposal : ExpertRewiringProposal) : EtaMoE.Expert := { expert with g := proposal.proposedGatingWeight.val.toNat / 65536.0 w := proposal.proposedQualityWeight.val.toNat / 65536.0 } -- ============================================================================ -- §3: Swarm Consensus Mechanism -- ============================================================================ /-- Swarm voting on expert rewiring -/ structure ExpertRewiringVote where agentId : SwarmCompetition.AgentId expertId : Nat proposedGatingWeight : Q16_16 voteWeight : Q16_16 -- Based on agent performance deriving Repr, Inhabited /-- Calculate consensus from swarm votes -/ def calculateConsensus (votes : List ExpertRewiringVote) : Q16_16 := if votes.isEmpty then zero else let totalWeight := votes.foldl (fun acc v => acc + v.voteWeight) zero let weightedGating := votes.foldl (fun acc v => acc + (v.proposedGatingWeight * v.voteWeight) ) zero if totalWeight > zero then weightedGating / totalWeight else zero /-- Check if consensus threshold is met -/ def consensusReached (consensus : Q16_16) (threshold : Q16_16) : Bool := consensus ≥ threshold -- ============================================================================ -- §4: Dynamic Expert Pool Management -- ============================================================================ /-- Expert pool state -/ structure ExpertPool where experts : List EtaMoE.Expert swarmMappings : List SwarmExpertMapping rewiringHistory : List ExpertRewiringProposal currentEfficiency : Q16_16 deriving Repr, Inhabited /-- Add new expert to pool from swarm agent -/ def addExpertFromSwarm ( pool : ExpertPool ) (agentId : SwarmCompetition.AgentId) ) (domain : SubagentOrchestrator.Domain) ) (leaderboard : SwarmCompetition.Leaderboard) : ExpertPool := let newExpertId := pool.experts.length + 1 let mapping := { agentId := agentId, expertId := newExpertId, domain := domain, performanceScore := ofNat 50, -- Default score lastRewired := zero } let gatingWeight := calculateOptimalGatingWeight mapping leaderboard let newExpert := { id := newExpertId, g := gatingWeight.val.toNat / 65536.0, w := 0.8, -- Default quality h := 0.7, -- Default coherence v := 0.1, -- Default penalty p := 0.15, -- Default distortion N := 256.0, -- Default arity a := 0.02, -- Default cost coefficient c := 0.01 -- Default overhead } { pool with experts := pool.experts ++ [newExpert], swarmMappings := pool.swarmMappings ++ [mapping] } -- ============================================================================ -- §5: Performance-Based Expert Pruning -- ============================================================================ /-- Expert performance metrics -/ structure ExpertPerformance where expertId : Nat efficiencyGain : Q16_16 utilizationRate : Q16_16 errorRate : Q16_16 deriving Repr, Inhabited /-- Calculate expert performance score -/ def calculateExpertPerformance (perf : ExpertPerformance) : Q16_16 := -- Higher efficiency + higher utilization - lower error let utilizationBonus := perf.utilizationRate * ofNat 30 let efficiencyBonus := perf.efficiencyGain * ofNat 50 let errorPenalty := perf.errorRate * ofNat 20 utilizationBonus + efficiencyBonus - errorPenalty /-- Prune underperforming experts from pool -/ def pruneUnderperformingExperts ( pool : ExpertPool ) (performances : List ExpertPerformance) ) (threshold : Q16_16) : ExpertPool := let underperformingIds := performances.filter (fun p => calculateExpertPerformance p < threshold ).map (fun p => p.expertId) let remainingExperts := pool.experts.filter (fun e => not (underperformingIds.contains e.id) ) let remainingMappings := pool.swarmMappings.filter (fun m => not (underperformingIds.contains m.expertId) ) { pool with experts := remainingExperts, swarmMappings := remainingMappings } -- ============================================================================ -- §6: Swarm-MoE Integration Bind -- ============================================================================ /-- Swarm-MoE integration action -/ structure SwarmMoEAction where actionType : ActionType expertId : Option Nat agentId : Option SwarmCompetition.AgentId parameters : List (String × Q16_16) deriving Repr, Inhabited /-- Action types for swarm-MoE integration -/ inductive ActionType where | rewireExpert -- Rewire expert gating weights | addExpert -- Add new expert from swarm | pruneExpert -- Remove underperforming expert | reconfigurePool -- Reconfigure entire expert pool deriving Repr, DecidableEq, Inhabited /-- Execute swarm-MoE action -/ def executeSwarmMoEAction ( pool : ExpertPool ) (action : SwarmMoEAction ) (leaderboard : SwarmCompetition.Leaderboard) : ExpertPool := match action.actionType with | ActionType.rewireExpert => match action.expertId with | some eid => let expert := pool.experts.find? (fun e => e.id = eid) match expert with | some e => -- Create proposal from action parameters let proposal := { expertId := eid, proposedGatingWeight := action.parameters.find? (fun p => p.1 = "gating_weight").getD (ofNat 50) |>.2, proposedQualityWeight := action.parameters.find? (fun p => p.1 = "quality_weight").getD (ofNat 80) |>.2, rationale := "Swarm-driven rewiring", swarmConsensus := ofNat 80, proposingAgent := action.agentId.getD (⟨0⟩) } let rewiredExpert := rewireExpert e proposal let updatedExperts := pool.experts.map (fun exp => if exp.id = eid then rewiredExpert else exp ) { pool with experts := updatedExperts } | none => pool | none => pool | ActionType.addExpert => match action.agentId, action.parameters.find? (fun p => p.1 = "domain") with | some aid, some (_, domainVal) => -- Map domain string to Domain type (simplified) let domain := SubagentOrchestrator.Domain.cognitiveControl -- Default addExpertFromSwarm pool aid domain leaderboard | _, _ => pool | ActionType.pruneExpert => match action.expertId with | some eid => let remainingExperts := pool.experts.filter (fun e => e.id ≠ eid) let remainingMappings := pool.swarmMappings.filter (fun m => m.expertId ≠ eid) { pool with experts := remainingExperts, swarmMappings := remainingMappings } | none => pool | ActionType.reconfigurePool => -- Full pool reconfiguration based on swarm leaderboard let sortedAgents := leaderboard.entries.qsort (fun a b => a.score > b.score) let topAgents := sortedAgents.take (pool.experts.length.toNat) let rec rewirePool (i : Nat) (experts : List EtaMoE.Expert) : List EtaMoE.Expert := if i ≥ experts.length ∨ i ≥ topAgents.length then experts else let agent := topAgents[i]! let mapping := pool.swarmMappings.find? (fun m => m.agentId = agent.agentId) match mapping with | some m => let newGating := calculateOptimalGatingWeight m leaderboard let updatedExpert := { (experts[i]!) with g := newGating.val.toNat / 65536.0 } let updatedExperts := experts.set i updatedExpert rewirePool (i + 1) updatedExperts | none => rewirePool (i + 1) experts let updatedExperts := rewirePool 0 pool.experts { pool with experts := updatedExperts } -- ============================================================================ -- §7: Theorems -- ============================================================================ /-- Theorem: Gating weights remain in valid range after rewiring -/ theorem gatingWeightsValidAfterRewiring ( expert : EtaMoE.Expert ) (proposal : ExpertRewiringProposal) : let rewired := rewireExpert expert proposal rewired.g ≥ 0 ∧ rewired.g ≤ 1 := by /-- Theorem: Consensus calculation is bounded -/ theorem consensusBounded (votes : List ExpertRewiringVote) : let consensus := calculateConsensus votes consensus ≥ zero ∧ consensus ≤ one := by /-- Theorem: Expert pool size is monotonic under add operations -/ theorem poolSizeMonotonicAdd ( pool : ExpertPool ) (agentId : SwarmCompetition.AgentId) ) (domain : SubagentOrchestrator.Domain) ) (leaderboard : SwarmCompetition.Leaderboard) : let newPool := addExpertFromSwarm pool agentId domain leaderboard newPool.experts.length ≥ pool.experts.length := by -- ============================================================================ -- §8: Complete Surface Rewrite -- ============================================================================ /-- Complete surface rewrite: swarm-driven full MoE reconfiguration -/ def completeSurfaceRewrite ( pool : ExpertPool ) (leaderboard : SwarmCompetition.Leaderboard ) (threshold : Q16_16) : ExpertPool := -- Step 1: Prune underperforming experts let performances := pool.experts.map (fun e => { expertId := e.id, efficiencyGain := pool.currentEfficiency, utilizationRate := e.g * ofNat 100, -- Gating weight as utilization proxy errorRate := e.p * ofNat 100 -- Distortion as error proxy }) let prunedPool := pruneUnderperformingExperts pool performances threshold -- Step 2: Add new experts from top-performing swarm agents let topAgents := leaderboard.entries.qsort (fun a b => a.score > b.score).take 5 let poolWithNewExperts := topAgents.foldl (fun acc entry => let domain := SubagentOrchestrator.Domain.cognitiveControl addExpertFromSwarm acc entry.agentId domain leaderboard ) prunedPool -- Step 3: Reconfigure entire pool based on swarm consensus let reconfigureAction := { actionType := ActionType.reconfigurePool, expertId := none, agentId := none, parameters := [] } executeSwarmMoEAction poolWithNewExperts reconfigureAction leaderboard /-- Surface rewrite with domain-aware expert allocation -/ def domainAwareSurfaceRewrite ( pool : ExpertPool ) (leaderboard : SwarmCompetition.Leaderboard ) (domainAllocation : List (SubagentOrchestrator.Domain × Q16_16)) : ExpertPool := -- Allocate experts to domains based on swarm performance let rec allocateExperts (domains : List (SubagentOrchestrator.Domain × Q16_16)) (acc : ExpertPool) (i : Nat) : ExpertPool := match domains with | [] => acc | (domain, weight) :: rest => -- Add expert for this domain with weight-based gating let expertId := acc.experts.length + 1 let newExpert := { id := expertId, g := weight.val.toNat / 65536.0, w := 0.8, h := 0.7, v := 0.1, p := 0.15, N := 256.0, a := 0.02, c := 0.01 } let mapping := { agentId := ⟨i.toUInt64⟩, expertId := expertId, domain := domain, performanceScore := weight, lastRewired := zero } let updatedPool := { acc with experts := acc.experts ++ [newExpert], swarmMappings := acc.swarmMappings ++ [mapping] } allocateExperts rest updatedPool (i + 1) let newPool := allocateExperts domainAllocation pool 0 let reconfigureAction := { actionType := ActionType.reconfigurePool, expertId := none, agentId := none, parameters := [] } executeSwarmMoEAction newPool reconfigureAction leaderboard -- ============================================================================ -- §9: #eval Examples -- ============================================================================ #let testExpert := { id := 1, g := 0.5, w := 0.8, h := 0.7, v := 0.1, p := 0.15, N := 256.0, a := 0.02, c := 0.01 } #let testProposal := { expertId := 1, proposedGatingWeight := to_q16 0.7, proposedQualityWeight := to_q16 0.85, rationale := "Swarm consensus: improved performance", swarmConsensus := to_q16 0.9, proposingAgent := ⟨1⟩ } #eval rewireExpert testExpert testProposal #let testPool := { experts := [testExpert], swarmMappings := [], rewiringHistory := [], currentEfficiency := to_q16 0.65 } #let testAction := { actionType := ActionType.rewireExpert, expertId := some 1, agentId := some ⟨1⟩, parameters := [("gating_weight", to_q16 0.75), ("quality_weight", to_q16 0.9)] } #let testLeaderboard := { entries := #[ { agentId := ⟨1⟩, score := to_q16 0.85, generation := 1, improvementProof := "hash123", timestamp := to_q16 1000 }, { agentId := ⟨2⟩, score := to_q16 0.92, generation := 1, improvementProof := "hash456", timestamp := to_q16 1000 }, { agentId := ⟨3⟩, score := to_q16 0.78, generation := 1, improvementProof := "hash789", timestamp := to_q16 1000 } ], currentLeader := some ⟨2⟩, currentGeneration := 1, timestamp := to_q16 1000 } #eval executeSwarmMoEAction testPool testAction testLeaderboard #eval completeSurfaceRewrite testPool testLeaderboard (to_q16 30) #let domainAllocation := [ (SubagentOrchestrator.Domain.cognitiveControl, to_q16 25), (SubagentOrchestrator.Domain.compression, to_q16 20), (SubagentOrchestrator.Domain.geometry, to_q16 15), (SubagentOrchestrator.Domain.thermodynamic, to_q16 20), (SubagentOrchestrator.Domain.fieldPhysics, to_q16 20) ] #eval domainAwareSurfaceRewrite testPool testLeaderboard domainAllocation end Semantics.SwarmMoERewiring