ToySolver.Data.BoolExpr

Boolean expression over a given type of atoms

BoolExpr type

data BoolExpr a

Boolean expression over a given type of atoms

Constructors

Atom a

And [BoolExpr a]

Or [BoolExpr a]

Not (BoolExpr a)

Imply (BoolExpr a) (BoolExpr a)

Equiv (BoolExpr a) (BoolExpr a)

ITE (BoolExpr a) (BoolExpr a) (BoolExpr a)

Instances

Monad BoolExpr

Methods

(>>=) :: BoolExpr a -> (a -> BoolExpr b) -> BoolExpr b

(>>) :: BoolExpr a -> BoolExpr b -> BoolExpr b

return :: a -> BoolExpr a

fail :: String -> BoolExpr a

Functor BoolExpr

Methods

fmap :: (a -> b) -> BoolExpr a -> BoolExpr b

(<$) :: a -> BoolExpr b -> BoolExpr a

Applicative BoolExpr

Methods

pure :: a -> BoolExpr a

(<*>) :: BoolExpr (a -> b) -> BoolExpr a -> BoolExpr b

(*>) :: BoolExpr a -> BoolExpr b -> BoolExpr b

(<*) :: BoolExpr a -> BoolExpr b -> BoolExpr a

Foldable BoolExpr

Methods

fold :: Monoid m => BoolExpr m -> m

foldMap :: Monoid m => (a -> m) -> BoolExpr a -> m

foldr :: (a -> b -> b) -> b -> BoolExpr a -> b

foldr' :: (a -> b -> b) -> b -> BoolExpr a -> b

foldl :: (b -> a -> b) -> b -> BoolExpr a -> b

foldl' :: (b -> a -> b) -> b -> BoolExpr a -> b

foldr1 :: (a -> a -> a) -> BoolExpr a -> a

foldl1 :: (a -> a -> a) -> BoolExpr a -> a

toList :: BoolExpr a -> [a]

null :: BoolExpr a -> Bool

length :: BoolExpr a -> Int

elem :: Eq a => a -> BoolExpr a -> Bool

maximum :: Ord a => BoolExpr a -> a

minimum :: Ord a => BoolExpr a -> a

sum :: Num a => BoolExpr a -> a

product :: Num a => BoolExpr a -> a

Traversable BoolExpr

Methods

traverse :: Applicative f => (a -> f b) -> BoolExpr a -> f (BoolExpr b)

sequenceA :: Applicative f => BoolExpr (f a) -> f (BoolExpr a)

mapM :: Monad m => (a -> m b) -> BoolExpr a -> m (BoolExpr b)

sequence :: Monad m => BoolExpr (m a) -> m (BoolExpr a)

Eq a => Eq (BoolExpr a)

Methods

(==) :: BoolExpr a -> BoolExpr a -> Bool

(/=) :: BoolExpr a -> BoolExpr a -> Bool

Data a => Data (BoolExpr a)

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> BoolExpr a -> c (BoolExpr a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (BoolExpr a)

toConstr :: BoolExpr a -> Constr

dataTypeOf :: BoolExpr a -> DataType

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c (BoolExpr a))

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (BoolExpr a))

gmapT :: (forall b. Data b => b -> b) -> BoolExpr a -> BoolExpr a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> BoolExpr a -> r

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> BoolExpr a -> r

gmapQ :: (forall d. Data d => d -> u) -> BoolExpr a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> BoolExpr a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> BoolExpr a -> m (BoolExpr a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> BoolExpr a -> m (BoolExpr a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> BoolExpr a -> m (BoolExpr a)

Ord a => Ord (BoolExpr a)

Methods

compare :: BoolExpr a -> BoolExpr a -> Ordering

(<) :: BoolExpr a -> BoolExpr a -> Bool

(<=) :: BoolExpr a -> BoolExpr a -> Bool

(>) :: BoolExpr a -> BoolExpr a -> Bool

(>=) :: BoolExpr a -> BoolExpr a -> Bool

max :: BoolExpr a -> BoolExpr a -> BoolExpr a

min :: BoolExpr a -> BoolExpr a -> BoolExpr a

Read a => Read (BoolExpr a)

Methods

readsPrec :: Int -> ReadS (BoolExpr a)

readList :: ReadS [BoolExpr a]

readPrec :: ReadPrec (BoolExpr a)

readListPrec :: ReadPrec [BoolExpr a]

Show a => Show (BoolExpr a)

Methods

showsPrec :: Int -> BoolExpr a -> ShowS

show :: BoolExpr a -> String

showList :: [BoolExpr a] -> ShowS

NFData a => NFData (BoolExpr a)

Methods

rnf :: BoolExpr a -> ()

Hashable a => Hashable (BoolExpr a)

Methods

hashWithSalt :: Int -> BoolExpr a -> Int

hash :: BoolExpr a -> Int

Variables a => Variables (BoolExpr a)

Methods

vars :: BoolExpr a -> VarSet

Boolean (BoolExpr a)

Methods

(.=>.) :: BoolExpr a -> BoolExpr a -> BoolExpr a

(.<=>.) :: BoolExpr a -> BoolExpr a -> BoolExpr a

Complement (BoolExpr a)

Methods

notB :: BoolExpr a -> BoolExpr a

MonotoneBoolean (BoolExpr a)

Methods

true :: BoolExpr a

false :: BoolExpr a

(.&&.) :: BoolExpr a -> BoolExpr a -> BoolExpr a

(.||.) :: BoolExpr a -> BoolExpr a -> BoolExpr a

andB :: [BoolExpr a] -> BoolExpr a

orB :: [BoolExpr a] -> BoolExpr a

IsOrdRel (Expr Integer) QFFormula

Methods

(.<.) :: Expr Integer -> Expr Integer -> QFFormula

(.<=.) :: Expr Integer -> Expr Integer -> QFFormula

(.>.) :: Expr Integer -> Expr Integer -> QFFormula

(.>=.) :: Expr Integer -> Expr Integer -> QFFormula

ordRel :: RelOp -> Expr Integer -> Expr Integer -> QFFormula

IsEqRel (Expr Integer) QFFormula

Methods

(.==.) :: Expr Integer -> Expr Integer -> QFFormula

(./=.) :: Expr Integer -> Expr Integer -> QFFormula

IfThenElse (BoolExpr a) (BoolExpr a)

Methods

ite :: BoolExpr a -> BoolExpr a -> BoolExpr a -> BoolExpr a

Operations

fold :: Boolean b => (atom -> b) -> BoolExpr atom -> b

simplify :: BoolExpr a -> BoolExpr a