Introduction to Computational Thinking Discussion
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Questions and Answers

What is the concept of currying functions primarily concerned with?

  • Translating a function that takes a single argument into multiple arguments.
  • Transforming an n-ary function into a series of unary functions. (correct)
  • Converting machine code into Haskell code.
  • Optimizing functions for parallel execution.

    • Which of the following is NOT a valid data type as mentioned?

  • Int⇥Int
  • Enteger (correct)
  • Boolean
  • Integer⇥Integer

    • Given the code snippet a:: Integer; a = “5”, what will happen?

  • The variable 'a' will be assigned the value of '5' as a String.
  • The code will execute without errors as '5' is a numeric character.
  • The variable 'a' will hold the integer value 5.
  • There will be a type error due to assigning a string. (correct)

    • What does the expression denote?

    <p>A syntactic entity that represents a value.</p> Signup and view all the answers

    Which type representation signifies a collection of values of a similar form?

    <p>Data Type</p> Signup and view all the answers

    What does f : Z !Q represent in the context of functions?

    <p>A mapping from integers to rational numbers.</p> Signup and view all the answers

    What is the main function of interpreters in programming languages like Haskell?

    <p>To translate code line-by-line for execution.</p> Signup and view all the answers

    How does the concept of paradoxes relate to computational thinking?

    <p>They illustrate the inconsistencies in logical reasoning.</p> Signup and view all the answers

    What is the type signature for the function defined as f :: (Integer, Integer) -> Integer?

    <p>(Integer, Integer) -&gt; Integer</p> Signup and view all the answers

    For the function f : Integer -> Integer -> Integer, which expression is considered legitimate in Haskell?

    <p>f 2 3</p> Signup and view all the answers

    If the function g :: Integer -> Integer is defined, what is its potential output range?

    <p>All integers</p> Signup and view all the answers

    Which of the following statements about the function f : Z -> Q is correct regarding injectivity?

    <p>It can have identical rational outputs for different integer inputs.</p> Signup and view all the answers

    Which of the following best describes the output of f a b = a^2 + b^2?

    <p>It computes the sum of the squares of a and b.</p> Signup and view all the answers

    What can be inferred about the function h :: Integer -> [Integer]?

    <p>It takes an Integer and returns a list of Integer values.</p> Signup and view all the answers

    Which of these expressions would return a valid output for the function f defined as f a b = a + b?

    <p>f 5 10</p> Signup and view all the answers

    What would the return type of the operation f :: (Integer, Integer) -> Integer on inputs (2,3) be?

    <p>Integer</p> Signup and view all the answers

    Study Notes

    Introduction to Computational Thinking - Discussion Session

    • The session was held on September 12, 2024, at McMaster University.
    • Shahab Asoodeh, from the Department of Computing and Software, led the session.
    • Exercise 01 was due on September 15 at 11:59 pm.

    Last Lecture Review

    • Currying functions are techniques that translate functions with multiple arguments into a sequence of functions each taking a single argument.
    • This essentially transforms an n-ary function into a sequence of unary functions.
    • Interpreters execute Haskell codes line-by-line, while compilers translate them into optimized native machine code.
    • Expressions are syntactic entities that represent values, and all functions qualify as expressions.
    • The session revisited Curry's paradox and the liar paradox.

    Data Types Review

    • Data types are syntactic entities that represent collections of values of similar form.
    • Examples of valid data types include Integer, Boolean, and Int.
    • Invalid data types include a, Integer !Integer, Integer⇥Integer, Integer !Integer!Integer, Integer !Integer!Integer!Integer, and IntX int.
    • The code a:: Integer followed by a = “5” results in a type error.
    • There is a difference between product types and function types.

    Function Review

    • The function f :: (Integer, Integer) !Integer.Integer has input type Integer X Integer and output type Integer for both elements.
    • The function g :: Integer !Integer !Integer.Integer has input type Integer and output type Integer for both elements.
    • The expression f2 in f :: Integer !Integer !Integer is a valid expression in Haskell.

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    Description

    This quiz covers key topics discussed during the 'Introduction to Computational Thinking' session led by Shahab Asoodeh at McMaster University. It includes concepts such as currying functions, interpreters vs. compilers, and data types. Review your understanding of these fundamental ideas and prepare for Exercise 01.

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