Practice - Set of Valid Programs in a Programming Language
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Practice Questions
Test your understanding with targeted questions
What does it mean for a set to be countable?
💡 Hint: Think about how you could list natural numbers.
Define a valid program in programming languages.
💡 Hint: Consider the beginning and end instructions of a program.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
A set is countable if:
💡 Hint: Recall our definition of countability.
True or False: All strings over a finite alphabet form a countable set.
💡 Hint: Think about how we listed the strings.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Design a valid program using a made-up programming language that includes at least three distinct commands.
💡 Hint: Focus on ensuring your program has a start and a syntax that makes sense.
Prove that there are infinitely many programs even within a constrained limited programming language.
💡 Hint: Consider how you can add new steps between the start and end.
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