(i) Explain why we can take any pair of equivalent regular expressions and replace the letter a...
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(i) Explain why we can take any pair of equivalent regular expressions and replace the letter a in both with any regular expression R and the letter b with any regular expression S and the resulting regular expressions will have the same language. For example, 16(ii), which says
(a*b)*a* = a*(ba*)*
becomes the identity
(R*S)*R* = R*(SR*)*
which is true for all regular expressions R and S. In particular, R = a + bb, S = ba* results in the complicated identity
((a + bb)*(ba*))*(a + bb)* = (a + bb)*((ba*)(a + bb)*)*
(ii) What identity would result from using
R = (ba*)* S = (Λ + b)
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