Code No. 221251

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II B.Tech. II-Semester Supplementary Examinations November-2003 THEORY OF COMPUTATION (Computer Science and Information Technology) Time: 3 hours Max. Marks:70 Answer any Five questions All questions carry equal marks --1. How is a non-deterministics finite automation specified? Construct a NDFA that accepts the set of all strings over the alphabet {a,b} ending in aba. What is menat by the equivalence of DFA and NDFA. Give the procedure for converting the given NDFA into an equivalent DFA and illustrate with the help of a suitable example.

3.

What are regular sets? Show that {anbn| n>0) is not a regular set.

4.

Construct a regular grammar that can generate the set of all strings starting with a letter (A to Z) followed by a string of letters of digits (0 to 9). Justify your answer.

5.

Given the grammar S  AB, A  a, B  C | b, C  D, D  E, E  a, find an equivalent grammar which is reduced and has no unit productions.

6.

What are the different types of Turing Machines? Construct a Turing machine that can accept the strings over {0,1} containing an even number of 1’s .

7.a) b)

What is Posts correspondence problem and what is its significance? Clearly specify the classes of problems said to be P, NP, NP -complete and NP-hard.

8.

Write short notes on any THREE of the following: a) Moore and Mealy machines b) Normal forms c) Computable functions d) Universal Turing machine.

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Code No. 221251 II B.Tech. II-Semester Supplementary ...

What are the different types of Turing Machines? Construct a Turing machine that · can accept the strings over {0,1} containing an even number of 1's . 7.a) What ...

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