I have solved for the Functor: instance Functor Expr where: --fmap :: (a->b) -> Expr a -> Expr b fmap g (Var x) = Var (g x) fmap _ (Val y) = Val y fmap (Add l r) = Add (fmap g l) (fmap g r). I hope this is correct, but im having a hard time solving the applicative this is my try: instance Applicative Expr where: -- pure :: Expr -> a pure a = Expr a      -- <*> :: Expr (a->b) -> Expr a -> Expr b <*> = can you please help correct the functor and solve the applicative. Thank you very much!

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Given the following type of expressions
data Expr a = Var a | Val Int | Add (Expr a) (Expr a)
                      deriving Show

that contain variables of some type a, show how to make this type into instances of the Functor, Applicative and Monad classes. With the aid of an
example, explain what the >>= operator for this type does

I have solved for the Functor:

instance Functor Expr where:

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

fmap g (Var x) = Var (g x)

fmap _ (Val y) = Val y

fmap (Add l r) = Add (fmap g l) (fmap g r).

I hope this is correct, but im having a hard time solving the applicative this is my try:

instance Applicative Expr where:

-- pure :: Expr -> a

pure a = Expr a 

 

 

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

<*> =


can you please help correct the functor and solve the applicative. Thank you very much!

 

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