Church-Rosser property

Etymology
Alonzo Church and J. Barkley Rosser proved in 1936 that lambda calculus has this property.

Noun

 * 1)  The property of a rewriting system for which $$x \stackrel{*}{\leftrightarrow} y$$ implies $$x\mathbin\downarrow y$$ for all objects $$x$$, $$y$$.