I put the translation here. the question is in french but easily read and translated . you can write the answers in english. Either the evaluator below written in Haskell for a similar functional language of the λ-calculus: type Var = … type Env = … data Val = Vnum Int data Exp = Enum Int | Vfun Env Var Exp | Evar Var | Efun Var Exp | Exp Exp. E-mail | Elet Var Exp Exp env_lookup :: Env -> Var -> (Env Exp) env_add :: Env -> Var -> (Env Exp) -> Env eval (env Enum n) = n eval (env Evar x) = env_lookup x env eval (env Ecall real fun) = fun eval case of Vnum _ -> error “A number is not a function” Vfun formal body approx -> eval (env_add env real formal body) Where env_lookup and env_add are presumably predefined functions which respectively allows you to find the information of a variable and add a variable in an environment. 1. Haskell reports typing errors in the evaluation: Indicate them and show how to fix the code. 2. Give the type of eval. 3. Does Eval implement call by name (CBN) or call by value (CBV)? Briefly justify. 4. Does eval implement static scope or dynamic scope? Briefly justify. 5. Indicate concisely how to change the code to get the other kind of scope. 6. Haskell complains that eval is not “exhaustive”: Completing its definition Requirements: 1 | .doc file
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