DFA Minimization Algorithm + Example

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. Easy Theory Website: https://www.easytheory.org GoFundMe: https://www.gofundme.com/f/easy-theory-video-studio Patreon: https://www.patreon.com/EasyTheoryYT Fourthwall: https://easy-theory-llc-shop.fourthwall.com Problem Solving channel: ​⁠ @easytheoryprobsolve 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 If you like this content, please consider subscribing to my channel: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg?sub_confirmation=1