Practice Non-closure Of Turing Recognizable Languages Under Complement (9)
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Engineering Courses
Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Certifications
Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Non-Closure of Turing Recognizable Languages under Complement

Practice - Non-Closure of Turing Recognizable Languages under Complement

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define Turing recognizable language.

💡 Hint: Think about what the Turing machine does with strings not in the language.

Question 2 Easy

What is a decidable language?

💡 Hint: Consider the behavior of Turing machines in terms of halting.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a Turing recognizable language?

A language that a TM can accept and halts for all inputs.
A language that a TM may loop for non-members.
A language that always rejects all inputs.

💡 Hint: Consider how Turing machines behave with valid vs. invalid inputs.

Question 2

Is the complement of a Turing recognizable language also Turing recognizable?

True
False

💡 Hint: Recall the implications of decidability and recognizability.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a Turing recognizable language L, provide an example of a string not in L and discuss its possible outcomes.

💡 Hint: Reflect on why incorrect syntax affects recognition.

Challenge 2 Hard

Prove that if a language is Turing recognizable, its complement is not necessarily recognizable by constructing an example.

💡 Hint: Utilize properties of the Halting Problem to illustrate non-closure.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.