<*theory*> A property of a reduction system that states that
if an expression can be reduced by zero or more reduction
steps to either expression M or expression N then there exists
some other expression to which both M and N can be reduced.
This implies that there is a unique normal form for any
expression since M and N cannot be different normal forms
because the theorem says they can be reduced to some other
expression and normal forms are irreducible by definition. It
does not imply that a normal form is reachable, only that if
reduction terminates it will reach a unique normal form.

Last updated: 1995-01-25

Try this search on Wikipedia, OneLook, Google

**Nearby terms:**
Church, Alonzo « Church integer « Church of the SubGenius « **Church-Rosser Theorem** » ci » CI$ » CICERO

Loading

Copyright Denis Howe 1985