Editing Church–Rosser theorem (section)

==History==
In 1936, [[Alonzo Church]] and [[J. Barkley Rosser]] proved that the theorem holds for β-reduction in the λI-calculus (in which every abstracted variable must appear in the term's body). The proof method is known as "finiteness of developments", and it has additional consequences such as the Standardization Theorem, which relates to a method in which reductions can be performed from left to right to reach a normal form (if one exists). The result for the pure untyped lambda calculus was proved by D. E. Schroer in 1965.{{sfnp|Barendregt|1984|p=283}}