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Turing Machines and Computability: Exercises and Questions, Exercises of Theory of Computation

important questions on the subject of theory of computation or automata theory and formal languages

Typology: Exercises

2019/2020

Uploaded on 04/03/2020

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UNIT=5
TURING MACHINES
1) Write about Churches hypothesis and Computable function in
Turing Machines with an example
2) Why a Turing machine is called Linear Bounded Automata?
Discuss the
Advantages of Linear Bounded Automata
3) Discuss the variants of Turing machines.
4) Explain the differences between Halt, Accept, and Decidable in
the context of Turing machines
5) Explain the differences between Turing Machine and Universal
Turing Machine.
6) Explain the general structure of multi tape and non-
deterministic Turing
Machines and show that these are equivalent to basic Turing
machines.
7) Explain about types of Turing Machine?
8) Discuss in brief about church hypothesis?
9) Explain about Universal Turing Machine?
10) Define Turing Machine? Explain about the Model of Turing
Machine?
UNIT-6
COMPUTABILITY
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UNIT=

TURING MACHINES

  1. Write about Churches hypothesis and Computable function in Turing Machines with an example 2) Why a Turing machine is called Linear Bounded Automata? Discuss the Advantages of Linear Bounded Automata 3) Discuss the variants of Turing machines. 4) Explain the differences between Halt, Accept, and Decidable in the context of Turing machines 5) Explain the differences between Turing Machine and Universal Turing Machine. 6) Explain the general structure of multi tape and non- deterministic Turing Machines and show that these are equivalent to basic Turing machines. 7) Explain about types of Turing Machine? 8) Discuss in brief about church hypothesis? 9) Explain about Universal Turing Machine?
  2. Define Turing Machine? Explain about the Model of Turing Machine? UNIT- COMPUTABILITY

1) Write the general working principle of post correspondence theorem? How it is modified? Explain. 2) Find whether post correspondence problem P= {(10,101), (011, 11), (101,011)} has match? Give the solution

  1. Explain in detail about P, NP, NP-complete and NP-hard problems with real time examples for each. 4) Explain the halting problem and demonstrate that it is undecidable.
  2. What is meant by Reducibility in NP-problems and why it is required? Explain
  3. Show that the Post Correspondence Problem is decidable over unary alphabet
  4. How to determine a problem L is NP-complete? Explain with an example.
  5. Show that the Post correspondence problem is undecidable over the binary Alphabet.
  6. Explain about recursive and recursively enumerable language.
  7. Write about Boolean Satisfiability Problem.
  8. What are P and NP class of Languages? What is NP Complete and give examples?
  9. Discuss in brief about Turing reducibility?
  10. Explain in detail about NP Complete and NP hard problems?
  11. Define Post Correspondence Problem? Explain in brief about PCP with an example?
  12. Explain about the Decidability and Undecidability Problems?
  1. Show that the Post correspondence problem is undecidable over the binary Alphabet A)