haskell/LiquidLean/AdaptiveVerifiedRuntime.hs

{-# LANGUAGE DataKinds, GADTs, KindSignatures, TypeOperators, ScopedTypeVariables #-}
{-# LANGUAGE StrictData, BangPatterns, PatternSynonyms, ViewPatterns #-}
{-# LANGUAGE OverloadedStrings, RecordWildCards, DeriveGeneric, RankNTypes #-}
{-# LANGUAGE TypeFamilies, PolyKinds, ConstraintKinds, QuantifiedConstraints #-}
{-# LANGUAGE FunctionalDependencies, MultiParamTypeClasses, FlexibleInstances #-}
{-# LANGUAGE ExistentialQuantification, StandaloneDeriving #-}

-- =====================================================================
-- ADAPTIVE VERIFIED RUNTIME (AVR)
-- Self-evolving kernels with continuous formal verification
-- FFI/MLIR dynamic rewriting bounded by Lean invariants
--
-- Ahmad Ali Parr · SnapKitty Collective · Bel Esprit D'Accord Trust · 2026
-- =====================================================================

module LiquidLean.AdaptiveVerifiedRuntime where

import GHC.TypeLits (Nat, KnownNat, natVal, Symbol)
import Data.Kind (Type, Constraint)
import Data.Map.Strict (Map)
import qualified Data.Map.Strict as Map
import Data.Set (Set)
import qualified Data.Set as Set
import Data.List (foldl', intercalate, sortBy)
import Data.Text (Text)
import qualified Data.Text as T
import Data.Word (Word64, Word32, Word8)
import Data.Int (Int64)
import Data.Maybe (fromMaybe, catMaybes, mapMaybe, isJust)
import Data.Proxy (Proxy(..))
import Control.Monad (forM_, forM, forever, when)
import Control.Concurrent (threadDelay)
import Control.Concurrent.STM
import Control.Concurrent.Async (async)
import Control.Concurrent.MVar

-- =====================================================================
-- CORE CONCEPT: VERIFIED EVOLUTION
-- =====================================================================
{-
STATIC VERIFICATION (Traditional):
  Program P -> Verify(P) -> check/fail -> Deploy P (immutable)

ADAPTIVE VERIFIED RUNTIME (This):
  Kernel K0 -> Verify(K0) -> OK -> Deploy K0
       |
  Runtime profiling -> MLIR rewrite -> K1
       |
  Verify(K1 | Invariants) -> OK -> Hot-swap K0 -> K1
       |
  Continuous: K0 -> K1 -> K2 -> ... -> Kn
  Each step:
    1. Generate candidate K'
    2. Check K' |= Invariants (Lean)
    3. Check K' >= K (performance)
    4. Atomic swap with WORM attestation
    5. Rollback capability
-}

-- =====================================================================
-- PHASE 1: INVARIANT LANGUAGE
-- =====================================================================

data Invariant
  = InvForall Text Invariant
  | InvExists Text Invariant
  | InvImplies Invariant Invariant
  | InvAnd Invariant Invariant
  | InvOr Invariant Invariant
  | InvNot Invariant
  | InvEq Term Term
  | InvLe Term Term
  | InvLt Term Term
  | InvCall Text [Term]
  | InvQuantum QuantumInvariant
  | InvPerformance PerfInvariant
  | InvMemory MemInvariant
  | InvLinear Text
  deriving (Show)

data Term
  = TermVar Text
  | TermConst Text
  | TermApp Text [Term]
  | TermInt Int64
  | TermDouble Double
  | TermBool Bool
  deriving (Show)

data QuantumInvariant
  = QIUnitarity Text
  | QINoCloning Text
  | QILinearity Text
  | QIQubitBound Text Int
  | QIDepthBound Text Int
  | QIFidelityBound Text Double
  | QIDecoherenceBound Text Double
  deriving (Show)

data PerfInvariant
  = PITimBound Text Double
  | PIMemBound Text Word64
  | PICyclesBound Text Word64
  | PIThroughputBound Text Double
  | PILatencyBound Text Double
  deriving (Show)

data MemInvariant
  = MINoLeak Text
  | MIAlignment Text Int
  | MIBoundsCheck Text
  | MILinearLifetime Text
  deriving (Show)

data InvariantContext = InvariantContext
  { icKernelId   :: KernelId
  , icInvariants :: Map InvariantId Invariant
  , icLeanProofs :: Map InvariantId LeanProof
  , icGeneratedAt :: Word64
  } deriving (Show)

type KernelId    = Text
type InvariantId = Text
type LeanProof   = Text

-- =====================================================================
-- PHASE 2: KERNEL REPRESENTATION
-- =====================================================================

data Kernel = Kernel
  { kId           :: KernelId
  , kVersion      :: Word64
  , kIRLevel      :: IRLevel
  , kArtifactHash :: Text
  , kInvariants   :: InvariantContext
  , kMetadata     :: KernelMetadata
  , kEntryPoints  :: Map Text EntryPoint
  , kProfilingData :: Maybe ProfilingData
  } deriving (Show)

data IRLevel
  = IR_Fortran
  | IR_Cmm
  | IR_MLIR_Quantum
  | IR_MLIR_Pulse
  | IR_MLIR_LLVM
  | IR_LLVM
  | IR_Native
  | IR_WASM
  deriving (Show, Eq, Ord, Enum, Bounded)

data VerificationStatus = Unverified | PartiallyVerified | FullyVerified
  deriving (Show)

data KernelMetadata = KernelMetadata
  { kmCreatedAt    :: Word64
  , kmParentKernel :: Maybe KernelId
  , kmTransform    :: TransformId
  , kmVerification :: VerificationStatus
  , kmPerformance  :: PerformanceProfile
  , kmWORMAnchor   :: Maybe Text
  } deriving (Show)

data TransformId
  = TF_FortranToCmm
  | TF_CmmToMLIR
  | TF_MLIROptimization Text
  | TF_MLIRToLLVM
  | TF_LLVMToNative
  | TF_JITRecompile Text
  | TF_PGOOptimization
  | TF_QuantumFusion
  | TF_PulseScheduling
  deriving (Show)

data EntryPoint = EntryPoint
  { epName      :: Text
  , epIsHot     :: Bool
  } deriving (Show)

data PerformanceProfile = PerformanceProfile
  { ppCycles      :: Word64
  , ppTimeNs      :: Word64
  , ppMemoryBytes :: Word64
  } deriving (Show)

data ProfilingData = ProfilingData
  { pdHotPaths :: Map Text Word64
  } deriving (Show)

-- =====================================================================
-- PHASE 3: LEAN VERIFICATION INTERFACE
-- =====================================================================

data LeanVerifier = LeanVerifier
  { lvEndpoint :: Text
  , lvTimeout  :: Int
  , lvCache    :: TVar (Map InvariantId VerificationResult)
  }

data VerificationResult
  = VR_Proven LeanProof
  | VR_Failed Text
  | VR_Timeout
  | VR_Error Text
  deriving (Show)

isProven :: VerificationResult -> Bool
isProven (VR_Proven _) = True
isProven _             = False

invariantId :: Invariant -> InvariantId
invariantId inv = T.pack (show (length (show inv)))  -- stable hash stub

verifyKernel :: LeanVerifier -> Kernel -> [Invariant] -> IO (Map InvariantId VerificationResult)
verifyKernel verifier kernel invariants = do
  cached <- readTVarIO (lvCache verifier)
  let (cachedResults, uncached) = partitionCached cached invariants
  newResults <- forM uncached $ \inv -> do
    result <- callLean verifier kernel inv
    atomically $ modifyTVar' (lvCache verifier) (Map.insert (invariantId inv) result)
    pure (invariantId inv, result)
  pure $ Map.union cachedResults (Map.fromList newResults)

partitionCached :: Map InvariantId VerificationResult
                -> [Invariant]
                -> (Map InvariantId VerificationResult, [Invariant])
partitionCached cached = foldl' go (Map.empty, [])
  where
    go (found, missing) inv =
      case Map.lookup (invariantId inv) cached of
        Just r  -> (Map.insert (invariantId inv) r found, missing)
        Nothing -> (found, inv : missing)

-- Lean JSON-RPC stub — wire to real lean4 server when available
callLean :: LeanVerifier -> Kernel -> Invariant -> IO VerificationResult
callLean _ _ _ = pure (VR_Proven "rfl")

-- =====================================================================
-- PHASE 4: DYNAMIC REWRITER (MLIR + FFI)
-- =====================================================================

data MLIRPass
  = Canonicalize
  | CSE
  | QuantumGateFusion
  | PulseScheduling
  deriving (Show)

data RewriteStrategy = RewriteStrategy
  { rsName         :: Text
  , rsTrigger      :: RewriteTrigger
  , rsTransform    :: Kernel -> IO (Either String Kernel)
  , rsPrecondition :: Kernel -> IO Bool
  }

data RewriteTrigger
  = RT_HotPath Text
  | RT_PerformanceRegression Double
  | RT_ProfileChange
  | RT_InvariantChange
  | RT_Manual
  | RT_Schedule Word64
  deriving (Show)

triggerName :: RewriteTrigger -> Text
triggerName (RT_HotPath n)              = "mlir-" <> n
triggerName (RT_PerformanceRegression _) = "pgo-optimize"
triggerName RT_ProfileChange            = "pgo-optimize"
triggerName RT_InvariantChange          = "pulse-reschedule"
triggerName _                           = "unknown"

hasMLIR :: Kernel -> Bool
hasMLIR k = kIRLevel k `elem` [IR_MLIR_Quantum, IR_MLIR_Pulse, IR_MLIR_LLVM]

hasQuantumDialect :: Kernel -> Bool
hasQuantumDialect k = kIRLevel k == IR_MLIR_Quantum

hasPulseDialect :: Kernel -> Bool
hasPulseDialect k = kIRLevel k == IR_MLIR_Pulse

hasProfilingData :: Kernel -> Bool
hasProfilingData k = isJust (kProfilingData k)

rewriteMLIRPass :: MLIRPass -> Kernel -> IO (Either String Kernel)
rewriteMLIRPass pass kernel = pure $ Right kernel
  { kVersion  = kVersion kernel + 1
  , kIRLevel  = IR_MLIR_Quantum
  , kMetadata = (kMetadata kernel)
      { kmTransform    = TF_MLIROptimization (T.pack (show pass))
      , kmVerification = Unverified } }

rewritePGO :: Kernel -> IO (Either String Kernel)
rewritePGO kernel = pure $ Right kernel
  { kVersion  = kVersion kernel + 1
  , kIRLevel  = IR_LLVM
  , kMetadata = (kMetadata kernel)
      { kmTransform    = TF_PGOOptimization
      , kmVerification = Unverified } }

rewritePulseSchedule :: Kernel -> IO (Either String Kernel)
rewritePulseSchedule kernel = pure $ Right kernel
  { kVersion  = kVersion kernel + 1
  , kIRLevel  = IR_MLIR_Pulse
  , kMetadata = (kMetadata kernel)
      { kmTransform    = TF_PulseScheduling
      , kmVerification = Unverified } }

builtinStrategies :: Map Text RewriteStrategy
builtinStrategies = Map.fromList
  [ ("mlir-canonicalize", RewriteStrategy
      "mlir-canonicalize"
      (RT_HotPath "main")
      (rewriteMLIRPass Canonicalize)
      (pure . hasMLIR))
  , ("mlir-gate-fusion", RewriteStrategy
      "mlir-gate-fusion"
      (RT_HotPath "main")
      (rewriteMLIRPass QuantumGateFusion)
      (pure . hasQuantumDialect))
  , ("pgo-optimize", RewriteStrategy
      "pgo-optimize"
      RT_ProfileChange
      rewritePGO
      (pure . hasProfilingData))
  , ("pulse-reschedule", RewriteStrategy
      "pulse-reschedule"
      RT_InvariantChange
      rewritePulseSchedule
      (pure . hasPulseDialect))
  ]

-- =====================================================================
-- PHASE 5: ADAPTIVE CONTROLLER (The Evolution Loop)
-- =====================================================================

data EvolutionPolicy = EvolutionPolicy
  { epAutoRewrite          :: Bool
  , epRequireProof         :: Bool
  , epMinSpeedup           :: Double
  , epMaxRollbacks         :: Int
  , epVerificationTimeout  :: Int
  , epCanaryPercent        :: Double
  } deriving (Show)

defaultEvolutionPolicy :: EvolutionPolicy
defaultEvolutionPolicy = EvolutionPolicy
  { epAutoRewrite         = True
  , epRequireProof        = True
  , epMinSpeedup          = 1.05
  , epMaxRollbacks        = 3
  , epVerificationTimeout = 300
  , epCanaryPercent       = 0.1
  }

data EvolutionMetrics = EvolutionMetrics
  { emTotalRewrites  :: Word64
  , emSuccessful     :: Word64
  , emFailed         :: Word64
  , emRollbacks      :: Word64
  } deriving (Show)

data AdaptiveController = AdaptiveController
  { acKernelStore  :: TVar (Map KernelId Kernel)
  , acActiveKernel :: TVar (Map KernelId KernelId)
  , acInvariants   :: TVar (Map KernelId InvariantContext)
  , acLeanVerifier :: LeanVerifier
  , acStrategies   :: TVar (Map Text RewriteStrategy)
  , acPolicy       :: EvolutionPolicy
  , acMetrics      :: TVar EvolutionMetrics
  }

runEvolutionLoop :: AdaptiveController -> IO ()
runEvolutionLoop controller = forever $ do
  threadDelay 1000000
  activeKernels <- readTVarIO (acActiveKernel controller)
  forM_ (Map.toList activeKernels) $ \(_, activeId) -> do
    kernelStore <- readTVarIO (acKernelStore controller)
    case Map.lookup activeId kernelStore of
      Just kernel -> do
        triggers <- checkTriggers controller kernel
        forM_ triggers $ \trigger -> do
          result <- executeRewrite controller kernel trigger
          case result of
            Right newKernel -> do
              ok <- verifyAndDeploy controller newKernel
              if ok then recordSuccess controller else recordFailure controller
            Left _ -> recordFailure controller
      Nothing -> pure ()

checkTriggers :: AdaptiveController -> Kernel -> IO [RewriteTrigger]
checkTriggers controller kernel = do
  strategies <- readTVarIO (acStrategies controller)
  catMaybes <$> forM (Map.elems strategies) $ \strat -> do
    ok <- rsPrecondition strat kernel
    pure $ if ok then Just (rsTrigger strat) else Nothing

executeRewrite :: AdaptiveController -> Kernel -> RewriteTrigger -> IO (Either String Kernel)
executeRewrite controller kernel trigger = do
  strategies <- readTVarIO (acStrategies controller)
  case Map.lookup (triggerName trigger) strategies of
    Just strat -> rsTransform strat kernel
    Nothing    -> pure (Left $ "No strategy for: " <> T.unpack (triggerName trigger))

verifyAndDeploy :: AdaptiveController -> Kernel -> IO Bool
verifyAndDeploy controller newKernel = do
  invariants <- readTVarIO (acInvariants controller)
  let invCtx  = Map.findWithDefault emptyInvCtx (kId newKernel) invariants
      invList = Map.elems (icInvariants invCtx)
  results <- verifyKernel (acLeanVerifier controller) newKernel invList
  let allProven = all isProven (Map.elems results)
  if not allProven then pure False else do
    speedup <- checkSpeedup controller newKernel
    if speedup < epMinSpeedup (acPolicy controller) then pure False else do
      deployKernel controller newKernel
      pure True

emptyInvCtx :: InvariantContext
emptyInvCtx = InvariantContext "" Map.empty Map.empty 0

checkSpeedup :: AdaptiveController -> Kernel -> IO Double
checkSpeedup controller newKernel = do
  active <- readTVarIO (acActiveKernel controller)
  case Map.lookup (kId newKernel) active of
    Just aid -> do
      store <- readTVarIO (acKernelStore controller)
      case Map.lookup aid store of
        Just oldKernel ->
          let old = ppCycles (kmPerformance (kMetadata oldKernel))
              new = ppCycles (kmPerformance (kMetadata newKernel))
          in pure $ if new == 0 then 1.0 else fromIntegral old / fromIntegral new
        Nothing -> pure 1.0
    Nothing -> pure 1.0

deployKernel :: AdaptiveController -> Kernel -> IO ()
deployKernel controller kernel = atomically $ do
  modifyTVar' (acKernelStore controller)  (Map.insert (kId kernel) kernel)
  modifyTVar' (acActiveKernel controller) (Map.insert (kId kernel) (kId kernel))

recordSuccess :: AdaptiveController -> IO ()
recordSuccess c = atomically $ modifyTVar' (acMetrics c) $ \m ->
  m { emTotalRewrites = emTotalRewrites m + 1, emSuccessful = emSuccessful m + 1 }

recordFailure :: AdaptiveController -> IO ()
recordFailure c = atomically $ modifyTVar' (acMetrics c) $ \m ->
  m { emTotalRewrites = emTotalRewrites m + 1, emFailed = emFailed m + 1 }

-- =====================================================================
-- PHASE 6: FFI HOT-SWAP MECHANISM
-- =====================================================================

data FFIBinding = FFIBinding
  { fbName      :: Text
  , fbKernelId  :: KernelId
  , fbVersion   :: Word64
  , fbIsActive  :: Bool
  } deriving (Show)

data FFIBindingManager = FFIBindingManager
  { fbmBindings :: TVar (Map Text FFIBinding)
  , fbmLock     :: MVar ()
  }

-- Atomic hot-swap: deactivate old binding, register new version
hotSwapBinding :: FFIBindingManager -> Kernel -> Text -> IO (Either String ())
hotSwapBinding manager kernel entryName = do
  _ <- takeMVar (fbmLock manager)
  bindings <- readTVarIO (fbmBindings manager)
  case Map.lookup entryName bindings of
    Nothing -> do
      putMVar (fbmLock manager) ()
      pure (Left $ "No binding for: " <> T.unpack entryName)
    Just old -> do
      let new = old { fbKernelId = kId kernel, fbVersion = kVersion kernel, fbIsActive = True }
          updated = Map.insert entryName new
                  $ Map.map (\b -> if fbName b == entryName then b { fbIsActive = False } else b) bindings
      atomically $ writeTVar (fbmBindings manager) updated
      putMVar (fbmLock manager) ()
      pure (Right ())

-- =====================================================================
-- PHASE 7: ROLLBACK MECHANISM
-- =====================================================================

data KernelVersion = KernelVersion
  { kvKernel    :: Kernel
  , kvTimestamp :: Word64
  , kvReason    :: Text
  } deriving (Show)

data RollbackManager = RollbackManager
  { rbHistory    :: TVar (Map KernelId [KernelVersion])
  , rbMaxHistory :: Int
  }

recordVersion :: RollbackManager -> Kernel -> Text -> IO ()
recordVersion mgr kernel reason = atomically $ modifyTVar' (rbHistory mgr) $ \hist ->
  let versions    = Map.findWithDefault [] (kId kernel) hist
      newVersion  = KernelVersion kernel 0 reason
      newVersions = take (rbMaxHistory mgr) (newVersion : versions)
  in Map.insert (kId kernel) newVersions hist

rollbackKernel :: AdaptiveController -> RollbackManager -> KernelId -> IO (Either String Kernel)
rollbackKernel controller mgr kernelId = do
  history <- readTVarIO (rbHistory mgr)
  case Map.lookup kernelId history of
    Just (v:_) -> do
      invariants <- readTVarIO (acInvariants controller)
      let invCtx  = Map.findWithDefault emptyInvCtx kernelId invariants
          invList = Map.elems (icInvariants invCtx)
      results <- verifyKernel (acLeanVerifier controller) (kvKernel v) invList
      if all isProven (Map.elems results)
        then do
          deployKernel controller (kvKernel v)
          atomically $ modifyTVar' (acMetrics controller) $ \m ->
            m { emRollbacks = emRollbacks m + 1 }
          pure (Right (kvKernel v))
        else pure (Left "Rollback target failed verification")
    _ -> pure (Left "No rollback history")

-- =====================================================================
-- PHASE 8: META-LEARNER
-- =====================================================================

data MetaModel = MetaModel
  { mmStrategyWeights :: Map Text Double
  } deriving (Show)

data TrainingExample = TrainingExample
  { teKernelId :: KernelId
  , teStrategy :: Text
  , teSpeedup  :: Double
  , teVerified :: Bool
  } deriving (Show)

data MetaLearner = MetaLearner
  { mlModel        :: TVar MetaModel
  , mlTrainingData :: TVar [TrainingExample]
  }

recordOutcome :: MetaLearner -> KernelId -> Text -> Double -> Bool -> IO ()
recordOutcome learner kernelId strategy speedup verified = do
  let ex = TrainingExample kernelId strategy speedup verified
  atomically $ modifyTVar' (mlTrainingData learner) (ex :)
  examples <- readTVarIO (mlTrainingData learner)
  when (length examples > 100) $ updateModel learner

updateModel :: MetaLearner -> IO ()
updateModel learner = do
  atomically $ modifyTVar' (mlModel learner) $ \m ->
    m { mmStrategyWeights = Map.map (* 0.9) (mmStrategyWeights m) }
  putStrLn "[AVR] Meta-model updated"

selectStrategy :: MetaLearner -> [Text] -> IO Text
selectStrategy learner available = do
  model <- readTVarIO (mlModel learner)
  let weights = mmStrategyWeights model
      scored  = [ (s, Map.findWithDefault 0 s weights) | s <- available ]
      best    = foldl' (\(ba,bv) (a,v) -> if v > bv then (a,v) else (ba,bv)) ("", -1) scored
  pure $ if null available then "" else fst best

-- =====================================================================
-- PHASE 8b: RUNTIME STATE + REWRITE ALGEBRA (Ahmad's formalization)
-- =====================================================================

-- | Complete runtime state — everything the evolution loop needs
data RuntimeState = RuntimeState
  { rsKernel      :: Kernel           -- current active kernel
  , rsInvariants  :: ProofContext      -- proven invariant set
  , rsOptimizer   :: MLIRPipeline     -- available passes
  , rsReceipts    :: WORMLedger       -- immutable audit trail
  , rsGeneration  :: Natural          -- monotone generation counter
  } deriving (Show)

-- | Proof context: invariants with their Lean proofs
data ProofContext = ProofContext
  { pcInvariants  :: Map InvariantId Invariant
  , pcProofs      :: Map InvariantId LeanProof
  , pcComplete    :: Bool             -- True iff all invariants proven
  } deriving (Show)

-- | MLIR pipeline: ordered sequence of passes
data MLIRPipeline = MLIRPipeline
  { mpPasses      :: [MLIRPass]
  , mpTarget      :: Text             -- x86_64 | arm64-sve2 | ptx-sm89
  , mpOptLevel    :: Int              -- 0..3
  } deriving (Show)

-- | WORM ledger: append-only receipt chain
data WORMLedger = WORMLedger
  { wlReceipts    :: [WORMReceipt]
  , wlHeight      :: Natural
  } deriving (Show)

data WORMReceipt = WORMReceipt
  { wrGeneration  :: Natural
  , wrKernelId    :: KernelId
  , wrVersion     :: Word64
  , wrBlake3      :: Text             -- blake3(kernel artifact)
  , wrEd25519     :: Text             -- ed25519 sig over blake3
  , wrRewrite     :: Text             -- which Rewrite was applied
  , wrInvProofs   :: [InvariantId]    -- invariants proven for this version
  } deriving (Show)

type Natural = Word64

emptyLedger :: WORMLedger
emptyLedger = WORMLedger [] 0

appendReceipt :: WORMLedger -> WORMReceipt -> WORMLedger
appendReceipt ledger receipt = WORMLedger
  { wlReceipts = wlReceipts ledger ++ [receipt]
  , wlHeight   = wlHeight ledger + 1 }

-- | Rewrite algebra — six primitive kernel transformations
data Rewrite
  = Inline        -- inline hot call sites
  | Fuse          -- fuse adjacent loop nests (polyhedral)
  | Specialize    -- specialize on runtime-constant arguments
  | Vectorize     -- SIMD vectorization (SVE2/AVX-512/PTX)
  | Parallelize   -- OpenMP/OpenACC parallelization
  | ReplaceKernel -- full kernel replacement (nuclear option)
  deriving (Show, Eq, Ord, Enum, Bounded)

-- | Rewrite semantics: each Rewrite maps to an MLIR pass pipeline
rewriteToPasses :: Rewrite -> [MLIRPass]
rewriteToPasses Inline      = [Canonicalize, CSE]
rewriteToPasses Fuse        = [QuantumGateFusion, Canonicalize]
rewriteToPasses Specialize  = [Canonicalize, CSE]
rewriteToPasses Vectorize   = [QuantumGateFusion, PulseScheduling]
rewriteToPasses Parallelize = [PulseScheduling]
rewriteToPasses ReplaceKernel = [Canonicalize, CSE, QuantumGateFusion, PulseScheduling]

-- | Apply a Rewrite to a RuntimeState, producing a candidate next state
applyRewrite :: RuntimeState -> Rewrite -> IO (Either String RuntimeState)
applyRewrite state rw = do
  let passes   = rewriteToPasses rw
      pipeline = (rsOptimizer state) { mpPasses = passes }
  -- Apply each pass in sequence
  result <- foldl applyPass (pure (Right (rsKernel state))) passes
  case result of
    Left err  -> pure (Left err)
    Right k'  -> pure $ Right state
      { rsKernel     = k'
      , rsOptimizer  = pipeline
      , rsGeneration = rsGeneration state + 1
      }
  where
    applyPass acc pass = do
      r <- acc
      case r of
        Left err -> pure (Left err)
        Right k  -> rewriteMLIRPass pass k

-- | Verify a RuntimeState: check all invariants, seal to ledger
verifyAndSeal :: LeanVerifier -> RuntimeState -> IO (Either String RuntimeState)
verifyAndSeal verifier state = do
  let invList = Map.elems (pcInvariants (rsInvariants state))
  results <- verifyKernel verifier (rsKernel state) invList
  let allProven = all isProven (Map.elems results)
  if not allProven
    then pure (Left "invariant verification failed")
    else do
      let proofs   = Map.fromList [(k, p) | (k, VR_Proven p) <- Map.toList results]
          newCtx   = (rsInvariants state)
            { pcProofs   = proofs
            , pcComplete = True }
          receipt  = WORMReceipt
            { wrGeneration = rsGeneration state
            , wrKernelId   = kId (rsKernel state)
            , wrVersion    = kVersion (rsKernel state)
            , wrBlake3     = "blake3-mock-" <> kId (rsKernel state)
            , wrEd25519    = "ed25519-mock"
            , wrRewrite    = "verified"
            , wrInvProofs  = Map.keys proofs }
          newLedger = appendReceipt (rsReceipts state) receipt
      pure $ Right state
        { rsInvariants = newCtx
        , rsReceipts   = newLedger }

-- | Full evolution step: rewrite → verify → seal
evolveStep :: LeanVerifier -> EvolutionPolicy -> RuntimeState -> Rewrite -> IO (Either String RuntimeState)
evolveStep verifier policy state rw = do
  candidate <- applyRewrite state rw
  case candidate of
    Left err -> pure (Left err)
    Right s' -> do
      verified <- verifyAndSeal verifier s'
      case verified of
        Left err -> pure (Left err)
        Right s'' -> do
          let speedup = fromIntegral (ppCycles (kmPerformance (kMetadata (rsKernel state))))
                      / fromIntegral (max 1 (ppCycles (kmPerformance (kMetadata (rsKernel s'')))))
          if speedup < epMinSpeedup policy
            then pure (Left $ "insufficient speedup: " <> show speedup)
            else pure (Right s'')

-- =====================================================================
-- PHASE 9: BOOTSTRAP
-- =====================================================================

initAVR :: IO (AdaptiveController, FFIBindingManager, RollbackManager, MetaLearner)
initAVR = do
  kernelStore  <- newTVarIO Map.empty
  activeKernel <- newTVarIO Map.empty
  invariants   <- newTVarIO Map.empty
  verifyCache  <- newTVarIO Map.empty
  strategies   <- newTVarIO builtinStrategies
  metrics      <- newTVarIO (EvolutionMetrics 0 0 0 0)
  ffiBindings  <- newTVarIO Map.empty
  ffiLock      <- newMVar ()
  rbHistory    <- newTVarIO Map.empty
  mlModel      <- newTVarIO (MetaModel Map.empty)
  mlData       <- newTVarIO []

  let verifier = LeanVerifier "http://localhost:8080" 300 verifyCache
      controller = AdaptiveController
        { acKernelStore  = kernelStore
        , acActiveKernel = activeKernel
        , acInvariants   = invariants
        , acLeanVerifier = verifier
        , acStrategies   = strategies
        , acPolicy       = defaultEvolutionPolicy
        , acMetrics      = metrics }
      ffiMgr = FFIBindingManager ffiBindings ffiLock
      rbMgr  = RollbackManager rbHistory 10
      learner = MetaLearner mlModel mlData

  pure (controller, ffiMgr, rbMgr, learner)

runAVR :: IO ()
runAVR = do
  putStrLn "[AVR] Initializing Adaptive Verified Runtime..."
  (controller, ffiMgr, rbMgr, learner) <- initAVR
  _ <- async $ runEvolutionLoop controller
  putStrLn "[AVR] Evolution loop running. Kernels self-modifying under Lean invariants."
  forever $ do
    threadDelay 5000000
    metrics <- readTVarIO (acMetrics controller)
    putStrLn $ "[AVR] " <> show metrics

-- =====================================================================
-- PHASE 10: LEAN INVARIANT DEFINITIONS (Companion .lean file)
-- =====================================================================
{-
See: lean/SovMonster.lean and lean/AdaptiveVerifiedRuntime.lean

Proof obligations for this module:

THEOREM (Verification Soundness):
  For every kernel K and invariant I,
    verifyKernel verifier K [I] = {i: VR_Proven p} implies K |= I

THEOREM (Rewrite Preservation):
  For every strategy S with rsPrecondition S K = True,
    rsTransform S K = Right K' implies
    (forall I in icInvariants (kInvariants K), K' |= I) /\
    kVersion K' = kVersion K + 1

THEOREM (Deployment Safety):
  verifyAndDeploy controller K = True implies
    (forall I in active invariants, K |= I) /\
    checkSpeedup controller K >= epMinSpeedup (acPolicy controller)

THEOREM (Hot-Swap Atomicity):
  hotSwapBinding mgr K entry = Right () implies
    the old binding is marked inactive and new binding is active,
    with no window where both are active simultaneously.

THEOREM (Rollback Safety):
  rollbackKernel controller mgr kid = Right K_old implies
    (forall I in active invariants, K_old |= I) /\
    kVersion K_old < kVersion K_current
-}