3. Consider the abstract syntax for the following expression language. The constant Zero denotes 0, and the operation Succ computes successors. The operation Sum takes a list of expressions as arguments and computes its sum. IfPos returns the value of the first expression if its value is greater than 0. Otherwise, it returns the value of the second expression. You may use the function sum :: [Int] -> Int in your solution. data Expr = Zero | Succ Expr | Sum [Expr] | IfPos Expr Expr Define the semantics of the expression language as a function sem of the following type. sem :: Expr -> Int

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
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3. Consider the abstract syntax for the following expression language. The constant Zero
denotes 0, and the operation Succ computes successors. The operation Sum takes a list of
expressions as arguments and computes its sum. IfPos returns the value of the first
expression if its value is greater than 0. Otherwise, it returns the value of the second
expression. You may use the function sum :: [Int] -> Int in your solution.
data Expr = Zero
| Succ Expr
| Sum [Expr]
| IfPos Expr Expr
Define the semantics of the expression language as a function sem of the following type.
sem :: Expr -> Int
Transcribed Image Text:3. Consider the abstract syntax for the following expression language. The constant Zero denotes 0, and the operation Succ computes successors. The operation Sum takes a list of expressions as arguments and computes its sum. IfPos returns the value of the first expression if its value is greater than 0. Otherwise, it returns the value of the second expression. You may use the function sum :: [Int] -> Int in your solution. data Expr = Zero | Succ Expr | Sum [Expr] | IfPos Expr Expr Define the semantics of the expression language as a function sem of the following type. sem :: Expr -> Int
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