File:Deterministicfiniteautomaton.svg

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Summary

DescriptionDeterministicfiniteautomaton.svg	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	18 April 2009
Source	Own work, created with Inkscape
Author	Vevek

Transition monoid

	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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File history

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	Date/Time	Dimensions	User	Comment
current	19:54, 18 April 2009	310 × 300 (14 KB)	Vevek	Arrow corected.
	19:45, 18 April 2009	310 × 300 (13 KB)	Vevek	Reverted to version as of 19:38, 18 April 2009
	19:44, 18 April 2009	310 × 300 (14 KB)	Vevek	An arrow added, stating the start state.
	19:38, 18 April 2009	310 × 300 (13 KB)	Vevek	Even larger image. This is the wanted size.
	19:33, 18 April 2009	140 × 130 (13 KB)	Vevek	Larger image
	19:22, 18 April 2009	64 × 64 (13 KB)	Vevek	{{Information \|Description={{en\|1=DFA example}} {{el\|1=Παράδειγμα ενός ντετερμινιστικού πεπερασμένου αυτόματου}} \|Source=Own work, created with Inkscape \|Author=Vevek \|Date=2009-04-18 \|Perm