Which one of the following statement is true for a regular language L over {a} whose minimal finite state automation has two states?
A)L must be either {an I n is odd} or {an I n is even}
B)L must be {an I n is odd}
C)L must be {an I n is even}
D)L must be {an I n = 0}

Question

Quizplus · Accepted Answer

A regular language L over {a} with a minimal finite state automaton of two states can represent languages where the string lengths meet certain criteria based on the states and transitions. Both {a^n | n is odd} and {a^n | n is even} can be represented with two states: one state (including the initial state) can represent strings of even length (including the empty string for n=0), and the other state can represent strings of odd length. This setup allows for the automaton to switch between these two states with each additional 'a' character, thus accommodating both possibilities.

Which One of the Following Statement Is True for a Regular