Talk:Critical pair

This disambiguation page is within the scope of WikiProject Disambiguation, an attempt to structure and organize all disambiguation pages on Wikipedia. If you wish to help, you can edit the page attached to this talk page, or visit the project page, where you can join the project or contribute to the discussion.DisambiguationWikipedia:WikiProject DisambiguationTemplate:WikiProject DisambiguationDisambiguation articles

Computer science

This disambiguation page is within the scope of WikiProject Computer science, a collaborative effort to improve the coverage of Computer science related articles on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.Computer scienceWikipedia:WikiProject Computer scienceTemplate:WikiProject Computer scienceComputer science articles

Things you can help WikiProject Computer science with:

Here are some tasks awaiting attention:

Article requests :
- Requested articles/Applied arts and sciences/Computer science, computing, and Internet
Cleanup :
- Computer science articles needing attention
- Computer science articles needing expert attention
Copyedit :
- Computing
Expand :
- Computer science
Infobox :
- Computer science articles without infoboxes
Maintain :
- Timeline of computing 2020–present
Photo :
- Find pictures for the biographies of computer scientists (see List of computer scientists)
- Computing articles needing images
Stubs :
- Computer science stubs
Unreferenced :
- WikiProject Computer science/Unreferenced BLPs
Project-related :
- Tag all relevant articles in Category:Computer science and sub-categories with {{WikiProject Computer science}}

The usage in term rewriting[edit]

The section that describes the usage in term rewriting does not define what a CP is in a way which I could understand (I do understand all the terms that appear in the text). A clear and precise definition would be an important contribution to this page. AmirOnWiki (talk) 16:13, 20 April 2011 (UTC)[reply]

Yes, it should be split.[edit]

The two senses of critical pair have so little in common that retaining them together on a single page seems to me nearly indefensible. Separating them and creating a disambiguation page definitely gets my vote as the way to go.—PaulTanenbaum (talk) 00:21, 22 April 2011 (UTC)[reply]

Fixed the entry for order theory[edit]

The new description I've just put in is less than ideal in that, though it is brief, it does lack rigor. But its minor vagueness and its colloquialism are a small price to pay for actual correctness. The replaced description was wrong, as is shown by the following example: for the set {{a}, {a, A}, {b}, {b, B}} ordered by set containment, ({a}, {b, B}) is a critical pair but {a} and {b, B} do not "have the same order relation to all other elements."—PaulTanenbaum (talk) 18:25, 3 January 2014 (UTC)[reply]

I used your example for an illustration in the Critical pair (order theory) article, also indicating that "is a critical pair" is not a symmetric relation (as the replaced description suggested). - Jochen Burghardt (talk) 20:11, 3 January 2014 (UTC)[reply]