Here are 15 multiple choice questions at the university level about theory of computation:
General
1. What is theory of computation?
o (A) The study of the fundamental concepts and limitations of computation.
o (B) The development of algorithms and data structures for solving computational problems.
o (C) The design and implementation of programming languages and compilers.
o (D) All of the above.
2. What are the different types of automata?
o (A) Finite state automata, pushdown automata, and Turing machines.
o (B) Deterministic automata and non-deterministic automata.
o (C) Mealy machines and Moore machines.
o (D) All of the above.
3. What is the Chomsky hierarchy?
o (A) A classification of formal languages based on their expressive power.
o (B) A model for understanding the different types of automata.
o (C) A framework for designing and analyzing algorithms.
o (D) None of the above.
Computability and Complexity 4. What is the halting problem?
o (A) The problem of determining whether a given computer program will eventually halt or run forever.
o (B) The problem of finding the most efficient algorithm for solving a given computational problem.
o (C) The problem of proving that a given computational problem is unsolvable.
o (D) All of the above.
5. What are the different types of complexity classes?
o (A) P, NP, and NP-complete.
o (B) Logarithmic, polynomial, and exponential.
o (C) Sequential, parallel, and distributed.
o (D) All of the above.
Challenge Questions
6. Discuss the different types of formal languages.
7. Explain how to use Turing machines to simulate other types of automata.
8. Discuss the different ways to prove that a computational problem is NP-complete.
9. Explain how to use approximation algorithms to solve NP-hard problems.
10.Discuss the challenges of designing and implementing efficient algorithms for real-world problems.
I hope these questions are helpful!
