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381hw7solns

# 381hw7solns - CS 381 Homework#7 Problem 1 S S1 | S2 S1 AC A...

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CS 381 Homework #7 Problem 1 S S 1 | S 2 S1 AC case where i = j A aAb A ε C cC C ε S 2 aS 2 c case where i = k S 2 B B bB B ε

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Write a cfg for the complement of {ww R | w (a + b)*} S barb2right a S a | b S b | a E b | b E a | a | b E barb2right a E | b E | ε Course 381 Homework 7 Problem 2
CS 381 Homework #7 Problem 3 Twice as many b’s as a’s S SaSbSbS | SbSaSbS | SbSbSaS | ε

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CS 381 Homework #7 Problem 4 Convert regular set to its corresponding DFA, M and have all its states be variables in the CFL, G. The alphabet of G is that of M. For every δ (q n , a) = p, there’s a corresponding Q n aP For every q f F in the DFA, there’s a corresponding Q f ε Let S Q 0