for a language L over Σ, u =N u′
if, for all w in Σ*, uw ∈ L iff u′w ∈ L
and for a function f, u =N u′
if, for all w in Σ*, f(uw) = f(u′w)
Although coarser than the Myhill equivalence, it is finite only if the latter is. Unlike the latter, it gives only a right congruence: u =N u′ implies uv =N u′v
and thus does not give rise to a semigroup. The number of equivalence classes is the number of states in the minimal machine for L.
"Nerode equivalence." A Dictionary of Computing. . Encyclopedia.com. (August 21, 2018). http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/nerode-equivalence
"Nerode equivalence." A Dictionary of Computing. . Retrieved August 21, 2018 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/nerode-equivalence
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:
Modern Language Association
The Chicago Manual of Style
American Psychological Association
- Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
- In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.