Practice - Non-constructive Proofs
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Practice Questions
Test your understanding with targeted questions
Define a computable function.
💡 Hint: Think about whether you can write a program for it.
What does it mean if a function is uncomputable?
💡 Hint: Consider the implications of a program not existing for that function.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a computable function?
💡 Hint: Consider if you can find a program for it.
True or False: All functions are computable.
💡 Hint: Think of examples like the Halting Problem.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using Cantor's argument, prove that the set of all functions from {1,2,3,...} to {0,1} is uncountable.
💡 Hint: Reflect on how listing elements could lead to missing at least one function.
Discuss the implications of the Halting Problem within programming and computation limits.
💡 Hint: Consider programming tasks where it's impossible to predict behavior.
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