RGPV June 2020 TOC

CS-501-CBGS
B.Tech., V Semester
Examination, June 2020
Choice Based Grading System (CBGS)
Theory of Computation

1. a) Differentiate Mealy machine and Moore machine with diagram.

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b) Design Turing machine to add two number a and b.

2. a) State Pumping Lemma and show that L 1 { aⁱbⁱ i>=1} is not a regular language. 

b) Explain types of Turing machine in detail. 

3. a) Prove that CFL are not closed under intersection. 

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b) Construct Moore machine for the following Mealy machine.

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4. a) Explain P class problems in detail.

b) What is a trap state in FA? Explain the properties of transition function.

Ans. 

• Trap state
• Properties of transition function

5. a) Define DFA, List three household applications of finite automata. 

Ans.

• Define DFA
• Equivalent of DFA and NFA
• Applications of finite automata

b) What are leftmost and rightmost derivations? Explain with suitable example. 

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6. a) What is PDA? Explain instantaneous description of PDA.

b) Show that the following grammar is ambiguous. 

S → aSbS|bSaS|∈

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7. a) How can we construct regular grammar from regular expression? 

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b) Write given CFG for R.E (011 + 1)*(01)*. 

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8. Write short note on any three of the following.

i) Undecidable problem

ii) Two way finite automata

iii) UTM

iv) Multitape

v) Recursively enumerable set