DFA Minimization Algorithm + Example

Published: 06 February 2022
on channel: Easy Theory

17,279

438

Here we consider the problem of minimizing the number of states in a deterministic finite automaton (DFA). The key here is to identify pairs of states that are "distinguishable", in the sense that reading any string from both of them eventually will lead to an accept state in one case, and a non-accept state in the other case. Then we build the definition of distinguishable states recursively. We conclude with two examples of DFAs: one where no states can be removed, and another where multiple states can be removed.

Timeline:
0:00 - Intro
0:30 - Goals of the Video
1:04 - Distinguishing States Example
4:07 - Distinguishing Strings Example
7:17 - Distinguishing States Definition
9:40 - DFA Minimization Example 1
15:35 - DFA Minimization Example 2
20:18 - Conclusion

Thanks to the following supporters of the channel for helping support this video. If you want to contribute, links are below.
Dolev Abuhazira, Josh Hibschman, Micah Wood, Morgan Jones, Patrik Keinonen, Simone Glinz, Tao Su, Timothy Gorden, unit220, Valentine Eben

Easy Theory Website: https://www.easytheory.org
Become a member:    / @easytheory
Donation (appears on streams): https://streamlabs.com/easytheory1/tip
Paypal: https://paypal.me/easytheory
Patreon:   / easytheory
Discord:   / discord

Merch:
Language Hierarchy Apparel: https://teespring.com/language-hierar...
Pumping Lemma Apparel: https://teespring.com/pumping-lemma-f...

If you like this content, please consider subscribing to my channel:    / @easytheory

▶SEND ME THEORY QUESTIONS◀
ryan.e.dougherty@icloud.com

▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.

On this page of the site you can watch the video online DFA Minimization Algorithm + Example with a duration of hours minute second in good quality, which was uploaded by the user Easy Theory 06 February 2022, share the link with friends and acquaintances, this video has already been watched 17,279 times on youtube and it was liked by 438 viewers. Enjoy your viewing!