File:Deterministicfiniteautomaton.svg

Summary

Description
English: DFA example. It accepts the same language as the regular expression a*b(b|a(a|b))*, see Kleene's algorithm.
Ελληνικά: Παράδειγμα ντετερμινιστικού πεπερασμένου αυτόματου
Date
Source Own work, created with Inkscape
Author Vevek
 ε
012
a
021
b
111
ab
222
ε
012
ε
012
a
021
b
111
ab
222
a
021
a
021
ε
012
ab
222
b
111
b
111
b
111
b
111
b
111
b
111
ab
222
ab
222
ab
222
ab
222
ab
222

Numeric entries denote functions mapping a state to a state; e.g. 021 abbreviates the function mapping state 0, 1, and 2 to state 0, 2, and 1, respectively; this is the function for digesting an input "a". The table shows the result of function composition, e.g. 021 ∘ 111 = 222, and 111 ∘ 021 = 111. Grey entries give a shortest input string corresponding to a function.

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