Practice Cardinality of Sets of Functions and Programs - 8.3 | 8. Uncomputable Functions | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a computable function?

💡 Hint: Think about functions that can be executed by writing code.

Question 2

Easy

Define an uncomputable function.

💡 Hint: Consider functions for which no program can yield outputs for all inputs.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the definition of a computable function?

  • A function that can be approximated
  • A function for which there exists a program
  • A function that always runs fast

💡 Hint: Think about how functions are executed in programming.

Question 2

True or False: Every computable function is also uncomputable.

  • True
  • False

💡 Hint: Consider the definitions of both types of functions.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Discuss the implications of uncomputable functions in practical applications such as software development.

💡 Hint: Think about tasks you might wish to automate that involve complex decision-making.

Question 2

Create a scenario that illustrates a function you believe would be uncomputable. Justify your reasoning.

💡 Hint: Consider the chess game's extensive possible moves.

Challenge and get performance evaluation