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The Church-Rosser Theorem I

For all E, E1, E2, such that E ->*E1 and E ->* E2,
there exists an E3 such that E1 ->* E3 and E2 ->* E3.

In other words, -> is confluent,

or has the diamond property , as shown in this figure:

    

Hence, normal forms are unique.



Alan Bond
1998-10-12