Research-Stack/0-Core-Formalism/lean/Semantics/Semantics/SwarmMoERewiring.lean

470 lines
16 KiB
Text
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

/-
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