A set W of strings of symbols is defined recursively by 1. a, b, and c belong to W. 2. If x belongs to W, so does a(x)c. Which of the following strings belong to W ? a. a(b)c b. a(a(b)c)c c. a(abc)c d. a(a(a(a)c)c)c e. a(aacc)c

a. a(b)c  

b. a(a(b)c)c  

d. a(a(a(a)c)c)c          

Step-by-step explanation:

We are given the following in the question:

a. a(b)c

It is given b belongs to W.

b. a(a(b)c)c

c. a(abc)c

a(abc)c does not belong to W because we cannot find x in W such that a(abc)c belongs to W.

d. a(a(a(a)c)c)c

e. a(aacc)c

a(aacc)c does not belong to W because we cannot find x in W such that a(aacc)c belongs to W.

step-by-step explanation:

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