Talk:Critical pair

The usage in term rewriting

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)

Yes, it should be split.

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)

Fixed the entry for order theory

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)

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)