Question: I WILL GIVE DISLIKES ! ! ! IF ANYTHING WRONG HAPPENS IN MY QUESTION, BETTER SKIP IT ! ! ! ( a ) For a

I WILL GIVE DISLIKES

!!!

IF ANYTHING WRONG HAPPENS IN MY QUESTION, BETTER SKIP IT

!!! (

)

For a language

L,

define DROPFIRST

(L)

to be the language containing all strings that can be obtained by removing the first symbol of a string in

L V H 12 .

Thus, DROPFIRST

L),

for some bin

{0, 1} .

Show that the class of regular languages is closed under DROPFIRST. That is if

L

is regular, then so is DROPFIRST

(L) . [. 5] (

Hint: It might be easier to do a NFA here. In particular, think of adding appropriate o transitions from the start. Also, bo careful and add a new start state instead of reusing old start state.

I WILL GIVE DISLIKES !!! IF ANYTHING WRONG HAPPENS IN MY

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