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Old January 16th, 2017, 12:49 PM
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Join Date: May 2011
Default Re: Automata Theory Books Mumbai University

Ok, Here I am telling you the books of B.Tech Information Technology of Mumbai University.

Mumbai University B.Tech IT Automata Theory Books

John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman, “Introduction to Automata
Theory, Languages and Computation”, Pearson Education.

Reference book-

N.Chandrashekhar& K.L.P. Mishra, “Theory of Computer Science, Automata Languages & Computations”, PHI publications.

Mumbai University B.Tech IT Automata Theory question paper

TOTAL MARKS: 80

TOTAL TIME: 3 HOURS

(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.

Attempt any four sub-questions.

1 (a) Design a DFA to accept only those strings containing a substring 'aa'.(5 marks)

1 (b) Design a Moore machine for binary adder.(5 marks)

1 (c) Give formal definition of a Push Down Automata.(5 marks)

1 (d) Construct a Context Free Grammar for the language with equal number of a's and b's.(5 marks)

1 (e) Give a regular expression for a language over the alphabet ?={a,b} containing at most two a's.(5 marks)

2 (a) Design a DFA that accepts the strings over a binary alphabet that do not contain the substring 010.(10 marks)

2 (b) Convert the following NFA to a reduced DFA. (10 marks)

3 (a) What is a Mealy machine. Design a mealy machine to determine the residue mod 5 of a binary number.(10 marks)

3 (b) Using pumping lemma prove that the following language is not regular
L={anbncn| n>=0}(10 marks)

4 (a) Find a regular expression RE corresponding to the following FA. (10 marks)

4 (b) Design a Turing machine to recognize the language
L={1n2n3n | n>=1}(10 marks)

5 (a) What is Greibach Normal Form (GNF). Convert the following CFG to GNF.
S→Sab|Sba|ε(10 marks)

5 (b) Design a PDA for the language
L={WWR|W? {a,b}*}(10 marks)

Write short notes on:

6 (a) Variants of Turning Machines.(10 marks)

6 (b) Recursive and Recursively enumerable languages.(10 marks)

6 (c) Chomsky Hierarchy.(10 marks)

6 (d) Halting Problem.(10 marks)

Contact-

University of Mumbai
Kalina, Santacruz East, University of Mumbai,Vidya Nagari, Kalina, Santacruz East, Mumbai, Maharashtra 400098
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