Practice Listing Valid Programs (5.2.4) - Countability of the set of all strings over a finite alphabet
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Listing valid programs

Practice - Listing valid programs

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a finite alphabet? Provide an example.

💡 Hint: Think of a simple set of characters.

Question 2 Easy

Define Π* in your own words.

💡 Hint: Link it with the concept of string formation.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Π* represent?

Set of all programming languages
Set of all possible strings from an alphabet
Set of valid programs

💡 Hint: Remember the definitions regarding finite sets.

Question 2

True or False: The set of valid programs is uncountable.

True
False

💡 Hint: Reflect on the properties of subsets in mathematics.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a finite alphabet {x, y}, list all possible strings of length 3 and state how many such strings exist.

💡 Hint: Consider combinations of each character arranged in different orders.

Challenge 2 Hard

Create a valid program using a finite alphabet composed of basic arithmetic operations and variables. Explain why your program is valid.

💡 Hint: Use starting and ending keywords with correct syntax.

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