World Library  
Flag as Inappropriate
Email this Article

Moore reduction procedure

Article Id: WHEBN0008433215
Reproduction Date:

Title: Moore reduction procedure  
Author: World Heritage Encyclopedia
Language: English
Subject: Finite-state machine
Publisher: World Heritage Encyclopedia

Moore reduction procedure

In computer science, the Moore reduction procedure is a method used for DFA minimization.

The concept is to start assuming that every state may be able to combine with every other state, then separate distinguishable states into separate groups called equivalence partitions. When no more equivalence partitions contain distinguishable states, the states remaining in the same group as other states are combined. Equivalence partitions are numbered by the number of steps it took to get to that point. The 0th partition contains all the states in one group, the 1st partition contains states grouped by their outputs only. Every partition from then on has groupings that are based on which group from the previous partition those states' next state fell under. The procedure is complete when partition n is the same as partition n+1.

States that are distinguishable on the kth partition are called k-distinguishable states. States that are in the same group on the kth partition are called k-equivalent. Note that states that are k-equivalent at one point are not necessarily equivalent states, as they may be separated into separate groups in a higher partition.

The procedure is as follows:

  1. separate states into groups that have the same immediate output for the same current input,
  2. distinguish states whose next state(s) are in different groups.
  3. regroup the states and repeat the above step until no more states are distinguishable.

See also

This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.

Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.