Task Assignment: Below you will find a question the areas of automata. Solve the problem showing all steps. Thoroughly explain how and why you performed each step with complete sentences.
A finite-state automaton is given by the 5-tuple (Q, ∑, δ, q, F), where
Q = the finite set of states = {A, B, C}
∑ = the Alphabet (inputs) = {x, y}
δ = the transition function using the alphabet as inputs to the states
q = the initial state = {A}
F = Accepting (or final) state = {C}
The transition table for the automaton is given by:
δ
δ
x
y
A
A
B
B
A
C
C
A
C
(i). Draw the corresponding transition diagram (digraph).
(ii). Provide 5 strings that are in the language generated by the automaton.
(iii). Provide 5 strings, that use the same inputs, which are not in the language generated by the automata.
(iv). Write a general statement that describes when a string is part of the language generated by the above automata and when that string is not in the language.
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