Each case below gives, a recursive definition of a subset L of {a, b}*. Give a s

Question

Each case below gives, a recursive definition of a subset L of {a, b}*.

Give a simple nonrecursive definition of L in each case.

$ = element

a. a $ L; for any x $ L, xa and xb are in L.

b. a $ L; for any x $ L, bx and xb are in L.

c: a $ L; for any x $ L, ax and xb are in L.

D: a $ L; for any x $ L, xb,xa and bx are in L.

and explain the answer in more detail that chegg does.

http://www.chegg.com/homework-help/case-gives-recursive-definition-subset-l-b-simple-nonrecurs-chapter-1-problem-44-solution-9780073191461-exc

Explanation / Answer

a)

x->x'a|x'b

x'->x|e

b)

x->bx'|ax'

x'->x|e

c)

x->x'b|ax'

x'->x|e

d)

x->xb'|x'a|bx'

x'->x|e

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