Question

1. Consider the deterministic finite automaton (K, Σ, δ, s, F) where K = {p, q,...

1. Consider the deterministic finite automaton (K, Σ, δ, s, F) where K =

{p, q, r}, Σ = {a, b, c}, s = p, F = {q} and δ is given by the following chart:

x       y     δ(x, y)

p       a         q

p       b         q

p       c          r

q       a         r

q       b         p

q       c         p

r        a          r

r        b          r

r        c           r

Find a regular expression for the language recognized by this automaton

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Answer #1

By Arden's theorem :

p is the initial state and q is the final state

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