For example, in the term rewriting system with rules
When one side of the critical pair reduces to the other, we say that the critical pair is convergent. Where one side of the critical pair is identical to the other, we say that the critical pair is trivial.
Note that if the term rewriting system is not confluent, the critical pair may not converge, so critical pairs are potential sources where confluence will fail. In fact, we have the critical pair lemma, which states that a term rewriting system is weakly confluent if all critical pairs are convergent. Weak confluence implies convergent critical pairs clearly as if any critical pair, say (a, b) arises, then a and b have common reduct and thus the critical pair is convergent.
Patent Issued for Automatic Designing System, Automatic Designing Method and Automatic Designing Program for Automatically Designing Architecture for System Components
Mar 27, 2013; International Business Machines Corporation (Armonk, NY) has been issued patent number 8396823, according to news reporting...