Practice - The Relationship and Strict Inclusions
Practice Questions
Test your understanding with targeted questions
What class does the language of arithmetic expressions belong to?
💡 Hint: Think of the structure of arithmetic expressions.
Is the set of all strings ending with 'ab' a regular language?
💡 Hint: Consider how you might express this with a finite automaton.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What class of languages is a proper subset of recursively enumerable languages?
💡 Hint: Think about the hierarchy from simpler to more complex types of languages.
The Halting Problem is classified as which type of problem?
💡 Hint: Recall what the Halting Problem aims to determine.
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Challenge Problems
Push your limits with advanced challenges
Construct a proof to show the relationship between recursive languages and their complements.
💡 Hint: Consider defining a TM that decides for L and how it can be adapted for Lˉ.
Explain through examples how a language could be RE but not recursive. Provide a specific example.
💡 Hint: Think about what the characteristics of Turing Machines accepting versus never halting tell us about net inclusion.
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Reference links
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