/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SwarmRGFlow.lean — RGFlow evaluation for swarm code filtering. Ported from Python scripts/rgflow_swarm_filter.py. All logic previously in Python now lives in Lean. Python shims may only serialize/deserialize and call the bindserver. Per AGENTS.md §1.4: Q1616 fixed-point for all hot-path arithmetic. Per AGENTS.md §4: Every def has an #eval or theorem witness. -/ import Semantics.SSMS import Semantics.CooperativeLUT namespace Semantics.SwarmRGFlow open Semantics.SSMS open Semantics.CooperativeLUT -- ═══════════════════════════════════════════════════════════════════════════ -- §1 Swarm Code State (continuous Q16.16 parameters) -- ═══════════════════════════════════════════════════════════════════════════ /-- Six-dimensional swarm code state in Q16.16 fixed-point. These are the continuous counterparts to QuantizedGenome bins. -/ structure SwarmCodeState where muQ : Q1616 -- mutation rate rhoQ : Q1616 -- refresh rate cFac : Q1616 -- graph connectance mFac : Q1616 -- modularity ne : Q1616 -- observer count sigmaQ : Q1616 -- selection coefficient deriving Repr, BEq namespace SwarmCodeState def zero : SwarmCodeState := { muQ := Q1616.zero, rhoQ := Q1616.zero, cFac := Q1616.zero, mFac := Q1616.zero, ne := Q1616.zero, sigmaQ := Q1616.zero } end SwarmCodeState -- ═══════════════════════════════════════════════════════════════════════════ -- §2 Biophysical Constants (Q16.16) -- ═══════════════════════════════════════════════════════════════════════════ def drakeBudgetD : Q1616 := ⟨197⟩ -- ~0.003 def driftBarrierB : Q1616 := ⟨66⟩ -- ~0.001 def lambdaParam : Q1616 := ⟨32768⟩ -- 0.5 def mStar : Q1616 := ⟨32768⟩ -- 0.5 def epsilonQ : Q1616 := ⟨66⟩ -- ~0.001 def maxSigmaQ : Q1616 := ⟨131072⟩ -- 2.0 -- Beta-function scale constants def betaMu : Q1616 := ⟨62259⟩ -- ~0.95 def betaRho : Q1616 := ⟨58982⟩ -- ~0.90 def betaC : Q1616 := ⟨68812⟩ -- ~1.05 def betaSigma : Q1616 := ⟨68812⟩ -- ~1.05 def betaNe : Q1616 := ⟨66846⟩ -- ~1.02 def betaMScale : Q1616 := ⟨3276⟩ -- ~0.05 -- ═══════════════════════════════════════════════════════════════════════════ -- §3 Beta Function — Informatic RGFlow evolution -- ═══════════════════════════════════════════════════════════════════════════ /-- Evolve swarm code state across one abstraction scale step. All operations in Q16.16 saturating fixed-point. -/ def betaFunction (s : SwarmCodeState) : SwarmCodeState := let muS := Q1616.mul s.muQ betaMu let rhoS := Q1616.mul s.rhoQ betaRho let cS := Q1616.min (Q1616.mul s.cFac betaC) Q1616.one let sigmaS := Q1616.min (Q1616.mul s.sigmaQ betaSigma) maxSigmaQ let neS := Q1616.mul s.ne betaNe let mDelta := Q1616.mul betaMScale (Q1616.sub s.mFac mStar) let mS := Q1616.add s.mFac mDelta { muQ := muS, rhoQ := rhoS, cFac := cS, mFac := mS, ne := neS, sigmaQ := sigmaS } -- ═══════════════════════════════════════════════════════════════════════════ -- §4 Lawfulness Checks -- ═══════════════════════════════════════════════════════════════════════════ /-- Drake budget: muQ <= drakeBudgetD / max(cFac, epsilon). -/ def drakeOk (s : SwarmCodeState) : Bool := let cSafe := Q1616.max s.cFac epsilonQ let adjustedDrake := Q1616.mul drakeBudgetD (Q1616.recip cSafe) Q1616.le s.muQ adjustedDrake /-- Drift barrier: muQ * ne >= driftBarrierB / max(mFac, epsilon). -/ def driftOk (s : SwarmCodeState) : Bool := let mSafe := Q1616.max s.mFac epsilonQ let adjustedDrift := Q1616.mul driftBarrierB (Q1616.recip mSafe) let unProduct := Q1616.mul s.muQ s.ne Q1616.le adjustedDrift unProduct /-- Error threshold: muQ < sigmaQ - 1. -/ def errorOk (s : SwarmCodeState) : Bool := let lnSigma := Q1616.sub s.sigmaQ Q1616.one Q1616.lt s.muQ lnSigma /-- Combined lawfulness with failure mask. Mask bits: 0x1 = Drake, 0x2 = Drift, 0x4 = Error. -/ def isLawful (s : SwarmCodeState) : Bool × UInt8 := let dOk := drakeOk s let drift := driftOk s let eOk := errorOk s let mask : UInt8 := (if dOk then 0 else 1) ||| (if drift then 0 else 2) ||| (if eOk then 0 else 4) (dOk && drift && eOk, mask) -- ═══════════════════════════════════════════════════════════════════════════ -- §5 RGFlow Trajectory Simulation -- ═══════════════════════════════════════════════════════════════════════════ /-- Result of an RGFlow simulation over N scale steps. -/ structure RGFlowResult where lawfulNow : Bool lawfulUnderFlow : Bool reachesAttractor : Bool flowsToNoise : Bool flowsToSabotage : Bool adaptationCost : UInt32 rgDepth : Nat attractorId : Nat failureMask : UInt8 deriving Repr, BEq -- ═══════════════════════════════════════════════════════════════════════════ -- §6 Attractor Classification -- ═══════════════════════════════════════════════════════════════════════════ /-- Classify final state into an attractor basin. 1 = high-fitness, 2 = high-popularity, 3 = high-modularity, 4 = low-connectance, 0 = default. -/ def computeAttractorId (s : SwarmCodeState) : Nat := if Q1616.lt ⟨52428⟩ s.sigmaQ then 1 -- sigma > 0.8 (52428 ≈ 0.8*65536) else if Q1616.lt ⟨45875⟩ s.ne then 2 -- ne > 0.7 (45875 ≈ 0.7*65536) else if Q1616.lt ⟨52428⟩ s.mFac then 3 -- M > 0.8 else if Q1616.lt s.cFac ⟨19660⟩ then 4 -- C < 0.3 (19660 ≈ 0.3*65536) else 0 -- ═══════════════════════════════════════════════════════════════════════════ -- §5 RGFlow Trajectory Simulation -- ═══════════════════════════════════════════════════════════════════════════ /-- Simulate RGFlow trajectory. At each step apply betaFunction and check lawfulness. Cost accumulates violations. -/ def simulateRGFlow (initial : SwarmCodeState) (steps : Nat) : RGFlowResult := let rec loop (s : SwarmCodeState) (remaining : Nat) (depth : Nat) (costAcc : UInt32) (lawfulSoFar : Bool) : RGFlowResult := let (lawfulNow, mask) := isLawful s let newCost : UInt32 := let c1 := if !drakeOk s then (Q1616.sub (Q1616.mul drakeBudgetD (Q1616.recip (Q1616.max s.cFac epsilonQ))) s.muQ).raw.toNat else 0 let c2 := if !driftOk s then (Q1616.sub (Q1616.mul driftBarrierB (Q1616.recip (Q1616.max s.mFac epsilonQ))) (Q1616.mul s.muQ s.ne)).raw.toNat else 0 let c3 := if !errorOk s then 0x00FF0000 else 0 UInt32.ofNat (c1 + c2 + c3) match remaining with | 0 => { lawfulNow := lawfulNow, lawfulUnderFlow := lawfulSoFar, reachesAttractor := lawfulSoFar && lawfulNow, flowsToNoise := false, flowsToSabotage := false, adaptationCost := costAcc + newCost, rgDepth := depth, attractorId := computeAttractorId s, failureMask := mask } | rem + 1 => if !lawfulNow then let sabotage := (mask &&& 1) != 0 let noise := (mask &&& 6) != 0 { lawfulNow := lawfulNow, lawfulUnderFlow := false, reachesAttractor := false, flowsToNoise := noise, flowsToSabotage := sabotage, adaptationCost := costAcc + newCost, rgDepth := depth, attractorId := computeAttractorId s, failureMask := mask } else loop (betaFunction s) rem (depth + 1) (costAcc + newCost) true loop initial steps 0 0 true -- ═══════════════════════════════════════════════════════════════════════════ -- §7 Quantization Bridge (for Python shim) -- ═══════════════════════════════════════════════════════════════════════════ /-- Quantize a Q16.16 value into a 3-bit bin (Fin 8). Bin = min(7, floor(value * 8)). Assumes value in [0, 1]. -/ def quantizeQ (q : Q1616) : Fin 8 := let v := q.raw.toNat let scaled := (v * 8) / 65536 let clamped := Nat.min scaled 7 have h : clamped ≤ 7 := Nat.min_le_right scaled 7 ⟨clamped, Nat.lt_succ_of_le h⟩ /-- Map SwarmCodeState to QuantizedGenome for LUT lookup. -/ def stateToGenome (s : SwarmCodeState) : QuantizedGenome := { gBin := quantizeQ s.muQ, -- using muQ as proxy for gBin neBin := quantizeQ s.ne, uBin := quantizeQ s.muQ, sigmaBin := quantizeQ s.sigmaQ, connectanceBin := quantizeQ s.cFac, modularityBin := quantizeQ s.mFac } -- ═══════════════════════════════════════════════════════════════════════════ -- §8 Eval Witnesses -- ═══════════════════════════════════════════════════════════════════════════ -- Witness 1: E. coli-like state (lawful) def ecoliState : SwarmCodeState := { muQ := ⟨195⟩, rhoQ := ⟨32768⟩, cFac := ⟨13107⟩, mFac := ⟨19660⟩, ne := ⟨26214⟩, sigmaQ := ⟨72089⟩ } #eval (isLawful ecoliState).1 -- Witness 2: Hypermutator (violates Drake) def hypermutatorState : SwarmCodeState := { muQ := ⟨520⟩, rhoQ := ⟨32768⟩, cFac := ⟨13107⟩, mFac := ⟨19660⟩, ne := ⟨26214⟩, sigmaQ := ⟨72089⟩ } #eval (isLawful hypermutatorState).1 -- Witness 3: RGFlow simulation on ecoli seed #eval let r := simulateRGFlow ecoliState 5 s!"lawfulUnderFlow={r.lawfulUnderFlow}, cost={r.adaptationCost}, depth={r.rgDepth}, attractor={r.attractorId}" -- Witness 4: RGFlow simulation on hypermutator #eval let r := simulateRGFlow hypermutatorState 5 s!"lawfulUnderFlow={r.lawfulUnderFlow}, sabotage={r.flowsToSabotage}, noise={r.flowsToNoise}" end Semantics.SwarmRGFlow