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Summary

Description
English: This is a deterministic finite automata, equivalent to a relatively small nondeterministic finite automata.

It is the result of using the Powerset Construction algorithm on this NFA:

Created with https://github.com/nielstron/powerset_construction_nfa and GraphViz. Source code (GraphViz):

digraph {

    "__init" [shape = point];
    "{0, X}" [shape = circle];
    "{1, X}" [shape = circle];
    "{2, X}" [shape = circle];
    "{0, 1, 2, X}" [shape = circle];
    "{3, X}" [shape = doublecircle];
    "{0, 1, 3, X}" [shape = doublecircle];
    "{0, 2, 3, X}" [shape = doublecircle];
    "{1, 2, 3, X}" [shape = doublecircle];
    "{X}" [shape = circle];
    "{0, 1, X}" [shape = circle];
    "{0, 2, X}" [shape = circle];
    "{1, 2, X}" [shape = circle];
    "{0, 3, X}" [shape = doublecircle];
    "{1, 3, X}" [shape = doublecircle];
    "{2, 3, X}" [shape = doublecircle];
    "{0, 1, 2, 3, X}" [shape = doublecircle];

    __init -> "{X}";

    "{0, X}" -> "{1, X}" [label = "0"];
    "{0, X}" -> "{0, 1, X}" [label = "1"];
    "{1, X}" -> "{2, X}" [label = "0"];
    "{1, X}" -> "{0, 2, X}" [label = "1"];
    "{2, X}" -> "{3, X}" [label = "0"];
    "{2, X}" -> "{0, 3, X}" [label = "1"];
    "{0, 1, 2, X}" -> "{1, 2, 3, X}" [label = "0"];
    "{0, 1, 2, X}" -> "{0, 1, 2, 3, X}" [label = "1"];
    "{3, X}" -> "{X}" [label = "0"];
    "{3, X}" -> "{0, X}" [label = "1"];
    "{0, 1, 3, X}" -> "{1, 2, X}" [label = "0"];
    "{0, 1, 3, X}" -> "{0, 1, 2, X}" [label = "1"];
    "{0, 2, 3, X}" -> "{1, 3, X}" [label = "0"];
    "{0, 2, 3, X}" -> "{0, 1, 3, X}" [label = "1"];
    "{1, 2, 3, X}" -> "{2, 3, X}" [label = "0"];
    "{1, 2, 3, X}" -> "{0, 2, 3, X}" [label = "1"];
    "{X}" -> "{X}" [label = "0"];
    "{X}" -> "{0, X}" [label = "1"];
    "{0, 1, X}" -> "{1, 2, X}" [label = "0"];
    "{0, 1, X}" -> "{0, 1, 2, X}" [label = "1"];
    "{0, 2, X}" -> "{1, 3, X}" [label = "0"];
    "{0, 2, X}" -> "{0, 1, 3, X}" [label = "1"];
    "{1, 2, X}" -> "{2, 3, X}" [label = "0"];
    "{1, 2, X}" -> "{0, 2, 3, X}" [label = "1"];
    "{0, 3, X}" -> "{1, X}" [label = "0"];
    "{0, 3, X}" -> "{0, 1, X}" [label = "1"];
    "{1, 3, X}" -> "{2, X}" [label = "0"];
    "{1, 3, X}" -> "{0, 2, X}" [label = "1"];
    "{2, 3, X}" -> "{3, X}" [label = "0"];
    "{2, 3, X}" -> "{0, 3, X}" [label = "1"];
    "{0, 1, 2, 3, X}" -> "{1, 2, 3, X}" [label = "0"];
    "{0, 1, 2, 3, X}" -> "{0, 1, 2, 3, X}" [label = "1"];
}
Date
Source Own work
Author Niels Mündler

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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26 February 2018

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b740889335079d10a868c38b310bf5e76d40a6ce

21,214 byte

1,426 pixel

1,489 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current22:06, 26 February 2018Thumbnail for version as of 22:06, 26 February 20181,489 × 1,426 (21 KB)NmndlrUser created page with UploadWizard
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