A state monad parameterized by the type s of the state to carry.
The return function leaves the state unchanged, while >>= uses
the final state of the first computation as the initial state of
the second.
:: a typeCtrl KGHC 9.10.3 · lts/ghc-9.10.x · 248f8f0 · 2026-10-05
Modulererebase-1.21.2Haskell2010
A state monad parameterized by the type s of the state to carry.
The return function leaves the state unchanged, while >>= uses
the final state of the first computation as the initial state of
the second.
Gets specific component of the state, using a projection function supplied.
Monadic state transformer.
Maps an old state to a new state inside a state monad. The old state is thrown away.
Main> :t modify ((+1) :: Int -> Int)
modify (...) :: (MonadState Int a) => a ()This says that modify (+1) acts over any
Monad that is a member of the MonadState class,
with an Int state.
A variant of modify in which the computation is strict in the new state.
Evaluate a state computation with the given initial state and return the final value, discarding the final state.
evalStateT m s = liftM fst (runStateT m s)Evaluate a state computation with the given initial state and return the final state, discarding the final value.
execStateT m s = liftM snd (runStateT m s)runState :: State s astate-passing computation to execute
-> sinitial state
-> (a, s)return value and final state
Unwrap a state monad computation as a function. (The inverse of state.)
withStateT f m executes action m on a state modified by
applying f.
withStateT f m = modify f >> mMonads in which IO computations may be embedded. Any monad built by applying a sequence of monad transformers to the IO monad will be an instance of this class.
Instances should satisfy the following laws, which state that liftIO is a transformer of monads:
liftIO :: IO a -> m aLift a computation from the IO monad. This allows us to run IO computations in any monadic stack, so long as it supports these kinds of operations (i.e. IO is the base monad for the stack).
import Control.Monad.Trans.State -- from the "transformers" library
printState :: Show s => StateT s IO ()
printState = do
state <- get
liftIO $ print stateHad we omitted liftIO, we would have ended up with this error:
• Couldn't match type ‘IO’ with ‘StateT s IO’
Expected type: StateT s IO ()
Actual type: IO ()The important part here is the mismatch between StateT s IO () and IO ().
Luckily, we know of a function that takes an IO a and returns an (m a): liftIO,
enabling us to run the program and see the expected results:
> evalStateT printState "hello"
"hello"
> evalStateT printState 3
3
MonadIO IODefined in base-4.20.2.0 · Control.Monad.IO.ClassMonadIO QDefined in template-haskell-2.22.0.0 · Language.Haskell.TH.SyntaxMonadIO m => MonadIO (CatchT m)Defined in exceptions-0.10.9 · Control.Monad.Catch.PureMonadIO m => MonadIO (IterT m)Defined in free-5.2 · Control.Monad.Trans.IterMonadIO m => MonadIO (MaybeT m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.MaybeMonadIO m => MonadIO (FT f m)Defined in free-5.2 · Control.Monad.Trans.Free.ChurchMonadIO m => MonadIO (ExceptT e m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.ExceptMonadIO m => MonadIO (IdentityT m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.IdentityMonadIO m => MonadIO (ReaderT r m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.ReaderMonadIO m => MonadIO (SelectT r m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.SelectMonadIO m => MonadIO (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyMonadIO m => MonadIO (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.StrictMonadIO m => MonadIO (WriterT w m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Writer.CPS(Representable f, MonadIO m) => MonadIO (ReaderT f m)Defined in adjunctions-4.4.3 · Control.Monad.Representable.Reader(Applicative f, MonadIO m) => MonadIO (FreeT f m)Defined in free-5.2 · Control.Monad.Trans.Free.Ap(Functor f, MonadIO m) => MonadIO (FreeT f m)Defined in free-5.2 · Control.Monad.Trans.Free(Monoid w, MonadIO m) => MonadIO (WriterT w m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Writer.Lazy(Monoid w, MonadIO m) => MonadIO (WriterT w m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Writer.Strict(Monoid w, Functor m, MonadIO m) => MonadIO (AccumT w m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Accum(Selective f, MonadIO f) => MonadIO (ExceptT e f)Defined in selective-0.7.0.1 · Control.Selective.Trans.ExceptMonadIO m => MonadIO (ContT r m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Cont(Comonad w, MonadIO m) => MonadIO (CoT w m)Defined in kan-extensions-5.2.7 · Control.Monad.Co(m ~~ m', MonadIO m') => MonadIO (Codensity m)Defined in kan-extensions-5.2.7 · Control.Monad.CodensityMonadIO m => MonadIO (RWST r w s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.RWS.CPS(Monoid w, MonadIO m) => MonadIO (RWST r w s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.RWS.Lazy(Monoid w, MonadIO m) => MonadIO (RWST r w s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.RWS.StrictMinimal definition is either both of get and put or just state
MonadState s m => MonadState s (CatchT m)Defined in exceptions-0.10.9 · Control.Monad.Catch.PureMonadState s m => MonadState s (Free m)Defined in free-5.2 · Control.Monad.FreeMonadState s m => MonadState s (Free m)Defined in free-5.2 · Control.Monad.Free.ApMonadState s m => MonadState s (F m)Defined in free-5.2 · Control.Monad.Free.ChurchMonadState s m => MonadState s (IterT m)Defined in free-5.2 · Control.Monad.Trans.IterMonadState s m => MonadState s (MaybeT m)Defined in mtl-2.3.1 · Control.Monad.State.ClassMonad m => MonadState s (StateT s m)Defined in mtl-2.3.1 · Control.Monad.State.ClassMonad m => MonadState s (StateT s m)Defined in mtl-2.3.1 · Control.Monad.State.ClassMonadState s m => MonadState s (FT f m)Defined in free-5.2 · Control.Monad.Trans.Free.ChurchMonadState s m => MonadState s (ExceptT e m)Defined in mtl-2.3.1 · Control.Monad.State.ClassMonadState s m => MonadState s (IdentityT m)Defined in mtl-2.3.1 · Control.Monad.State.ClassMonadState s m => MonadState s (ReaderT r m)Defined in mtl-2.3.1 · Control.Monad.State.ClassMonadState s m => MonadState s (SelectT r m)Defined in mtl-2.3.1 · Control.Monad.State.Class(Representable g, Monad m, Rep g ~ s) => MonadState s (StateT g m)Defined in adjunctions-4.4.3 · Control.Monad.Representable.State(Applicative f, MonadState s m) => MonadState s (FreeT f m)Defined in free-5.2 · Control.Monad.Trans.Free.Ap(Functor f, MonadState s m) => MonadState s (FreeT f m)Defined in free-5.2 · Control.Monad.Trans.Free(Monoid w, MonadState s m) => MonadState s (AccumT w m)Defined in mtl-2.3.1 · Control.Monad.State.Class(Monoid w, MonadState s m) => MonadState s (WriterT w m)Defined in mtl-2.3.1 · Control.Monad.State.Class(Monoid w, MonadState s m) => MonadState s (WriterT w m)Defined in mtl-2.3.1 · Control.Monad.State.Class(Monoid w, MonadState s m) => MonadState s (WriterT w m)Defined in mtl-2.3.1 · Control.Monad.State.ClassMonadState s m => MonadState s (ContT r m)Defined in mtl-2.3.1 · Control.Monad.State.Class(Comonad w, MonadState s m) => MonadState s (CoT w m)Defined in kan-extensions-5.2.7 · Control.Monad.Co(m ~~ m', MonadReader r m') => MonadState r (Codensity m)Defined in kan-extensions-5.2.7 · Control.Monad.Codensity(Monad m, Monoid w) => MonadState s (RWST r w s m)Defined in mtl-2.3.1 · Control.Monad.State.Class(Monad m, Monoid w) => MonadState s (RWST r w s m)Defined in mtl-2.3.1 · Control.Monad.State.Class(Monad m, Monoid w) => MonadState s (RWST r w s m)Defined in mtl-2.3.1 · Control.Monad.State.Classclass (forall (m :: Type -> Type). Monad m => Monad (t m)) => MonadTrans (t :: (Type -> Type) -> Type -> Type) whereThe class of monad transformers.
For any monad m, the result t m should also be a monad,
and lift should be a monad transformation from m to t m,
i.e. it should satisfy the following laws:
Since 0.6.0.0 and for GHC 8.6 and later, the requirement that t m
be a Monad is enforced by the implication constraint
forall m. Monad m => Monad (t m) enabled by the
QuantifiedConstraints extension.
These versions of GHC have a bug (https://gitlab.haskell.org/ghc/ghc/-/issues/20582) which causes constraints like
(MonadTrans t, forall m. Monad m => Monad (t m)) => ...
to be reported as ambiguous. For transformers 0.6 and later, this can be fixed by removing the second constraint, which is implied by the first.
MonadTrans CatchTDefined in exceptions-0.10.9 · Control.Monad.Catch.PureMonadTrans FreeDefined in free-5.2 · Control.Monad.FreeThis is not a true monad transformer. It is only a monad transformer "up to retract".
MonadTrans FreeDefined in free-5.2 · Control.Monad.Free.ApThis is not a true monad transformer. It is only a monad transformer "up to retract".
MonadTrans FDefined in free-5.2 · Control.Monad.Free.ChurchMonadTrans IterTDefined in free-5.2 · Control.Monad.Trans.IterMonadTrans CoyonedaDefined in kan-extensions-5.2.7 · Data.Functor.CoyonedaMonadTrans YonedaDefined in kan-extensions-5.2.7 · Data.Functor.YonedaMonadTrans MaybeTDefined in transformers-0.6.1.1 · Control.Monad.Trans.MaybeRepresentable f => MonadTrans (ReaderT f)Defined in adjunctions-4.4.3 · Control.Monad.Representable.ReaderRepresentable f => MonadTrans (StateT f)Defined in adjunctions-4.4.3 · Control.Monad.Representable.StateAlternative f => MonadTrans (CofreeT f)Defined in free-5.2 · Control.Comonad.Trans.CofreeApplicative f => MonadTrans (FreeT f)Defined in free-5.2 · Control.Monad.Trans.Free.ApFunctor f => MonadTrans (FreeT f)Defined in free-5.2 · Control.Monad.Trans.FreeMonoid w => MonadTrans (AccumT w)Defined in transformers-0.6.1.1 · Control.Monad.Trans.AccumMonoid w => MonadTrans (WriterT w)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Writer.LazyMonoid w => MonadTrans (WriterT w)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Writer.StrictMonadTrans IdentityTDefined in transformers-0.6.1.1 · Control.Monad.Trans.IdentityMonadTrans (FT f)Defined in free-5.2 · Control.Monad.Trans.Free.ChurchMonadTrans (ExceptT e)Defined in transformers-0.6.1.1 · Control.Monad.Trans.ExceptMonadTrans (ReaderT r)Defined in transformers-0.6.1.1 · Control.Monad.Trans.ReaderMonadTrans (SelectT r)Defined in transformers-0.6.1.1 · Control.Monad.Trans.SelectMonadTrans (StateT s)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyMonadTrans (StateT s)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.StrictMonadTrans (WriterT w)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Writer.CPSComonad w => MonadTrans (ContsT r w)Defined in adjunctions-4.4.3 · Control.Monad.Trans.ContsComonad w => MonadTrans (CoT w)Defined in kan-extensions-5.2.7 · Control.Monad.CoMonadTrans CodensityDefined in kan-extensions-5.2.7 · Control.Monad.CodensityMonadTrans (ContT r)Defined in transformers-0.6.1.1 · Control.Monad.Trans.Cont(Adjunction f g, Traversable f) => MonadTrans (AdjointT f g)Defined in adjunctions-4.4.3 · Control.Monad.Trans.AdjointExploiting this instance requires that we have the missing Traversables for Identity, (,)e and IdentityT
Monoid w => MonadTrans (RWST r w s)Defined in transformers-0.6.1.1 · Control.Monad.Trans.RWS.LazyMonoid w => MonadTrans (RWST r w s)Defined in transformers-0.6.1.1 · Control.Monad.Trans.RWS.StrictMonadTrans (RWST r w s)Defined in transformers-0.6.1.1 · Control.Monad.Trans.RWS.CPSA state transformer monad parameterized by:
s - The state.
m - The inner monad.
The return function leaves the state unchanged, while >>= uses
the final state of the first computation as the initial state of
the second.
MonadAccum w m => MonadAccum w (StateT s m)Defined in mtl-2.3.1 · Control.Monad.AccumMonadError e m => MonadError e (StateT s m)Defined in mtl-2.3.1 · Control.Monad.Error.ClassMonadReader r m => MonadReader r (StateT s m)Defined in mtl-2.3.1 · Control.Monad.Reader.ClassMonad m => MonadState s (StateT s m)Defined in mtl-2.3.1 · Control.Monad.State.ClassMonadWriter w m => MonadWriter w (StateT s m)Defined in mtl-2.3.1 · Control.Monad.Writer.ClassMonadSelect w m => MonadSelect w (StateT s m)Defined in mtl-2.3.1 · Control.Monad.Select'Readerizes' the state: the 'ranking' function can see a value of
type s, but not modify it. Effectively, can be thought of as 'extending'
the 'ranking' by all values in s, but which s gets given to any rank
calls is predetermined by the 'outer state' (and cannot change).
MonadBase b m => MonadBase b (StateT s m)Defined in transformers-base-0.4.6 · Control.Monad.Base(Functor f, MonadFree f m) => MonadFree f (StateT s m)Defined in free-5.2 · Control.Monad.Free.ClassMonadTrans (StateT s)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyBindTrans (StateT s)Defined in semigroupoids-6.0.1 · Data.Functor.Bind.TransMonad m => Monad (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyFunctor m => Functor (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyMonadFix m => MonadFix (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyMonadFail m => MonadFail (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.Lazy(Functor m, Monad m) => Applicative (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.Lazy(Functor m, MonadPlus m) => Alternative (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyMonadPlus m => MonadPlus (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyMonadIO m => MonadIO (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyContravariant m => Contravariant (StateT s m)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.LazyMonadCont m => MonadCont (StateT s m)Defined in mtl-2.3.1 · Control.Monad.Cont.ClassMonadCatch m => MonadCatch (StateT s m)Defined in exceptions-0.10.9 · Control.Monad.CatchMonadMask m => MonadMask (StateT s m)Defined in exceptions-0.10.9 · Control.Monad.CatchMonadThrow m => MonadThrow (StateT s m)Defined in exceptions-0.10.9 · Control.Monad.CatchPrimMonad m => PrimMonad (StateT s m)Defined in primitive-0.9.1.0 · Control.Monad.PrimitiveDecidable m => Decidable (StateT s m)Defined in contravariant-1.5.5 · Data.Functor.Contravariant.DivisibleDivisible m => Divisible (StateT s m)Defined in contravariant-1.5.5 · Data.Functor.Contravariant.DivisibleAlt f => Alt (StateT e f)Defined in semigroupoids-6.0.1 · Data.Functor.AltBind m => Apply (StateT s m)Defined in semigroupoids-6.0.1 · Data.Functor.Bind.ClassBind m => Bind (StateT s m)Defined in semigroupoids-6.0.1 · Data.Functor.Bind.ClassConclude m => Conclude (StateT s m)Defined in semigroupoids-6.0.1 · Data.Functor.Contravariant.ConcludeDecide m => Decide (StateT s m)Defined in semigroupoids-6.0.1 · Data.Functor.Contravariant.DecideDivise m => Divise (StateT s m)Defined in semigroupoids-6.0.1 · Data.Functor.Contravariant.DivisePlus f => Plus (StateT e f)Defined in semigroupoids-6.0.1 · Data.Functor.PlusInvariant m => Invariant (StateT s m)Defined in invariant-0.6.4 · Data.Functor.Invariantfrom the transformers package
Monad m => Selective (StateT s m)Defined in selective-0.7.0.1 · Control.SelectivePointed m => Pointed (StateT s m)Defined in pointed-5.0.4 · Data.PointedGeneric (StateT s m a)Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.Lazytype Rep (StateT s m a) = D1 ('MetaData "StateT"
"Control.Monad.Trans.State.Lazy"
"transformers-0.6.1.1-a11a"
'True) (C1 ('MetaCons "StateT"
'PrefixI 'True) (S1 ('MetaSel ('Just "runStateT"
) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (s -> m (a, s)))))Defined in transformers-0.6.1.1 · Control.Monad.Trans.State.Lazytype PrimState (StateT s m) = PrimState mDefined in primitive-0.9.1.0 · Control.Monad.Primitive