Problem 3
Say that string x is a prefix of string y if a string z exists where xz
= y and that x is a proper prefix of y if in addition x ( y. In each of
the following parts we define an operation on a language A. Show that
the class of regular languages is closed under that operation.
NOPREFIX (A) = {w ( A| no proper prefix of w is a member of A}
NOEXTEND (A) = {w ( A| w is not the proper prefix of any string in A}
Computer Science Homework Solutions
#113140
Automata and Computability (A13)
Say that string x is a prefix of string y if a string z exists where xz = y and that x is a proper prefix of y if in addition x y. In each of the following parts we define an operation on a language A. Show that the class of regular languages is closed under that operation.
a. NOPREFIX (A) = {w A| no proper prefix of w is a member of A}
b. NOEXTEND (A) = {w A| w is not the proper prefix of any string in A}
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