(i) Let us reconsider the regular expression (a + b)*a(a + b)*b(a + b)* Show that this...
Question:
(i) Let us reconsider the regular expression
(a + b)*a(a + b)*b(a + b)*
Show that this is equivalent to
(a + b)*ab(a + b)*
In the sense that they define the same language.
(ii) Show that
(a + b)*ab(a + b)* + b*a* = (a + b)*
(iii) Show that
(a + b)*ab[(a + b)*ab(a + b)* + b*a* ] + b*a* = (a + b)*
(iv) Is (iii) the last variation of this theme or are there more beasts left in this cave?
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