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Church-Rosser property of a simple reduction for full first-order classical natural deduction. (English) Zbl 1016.03006
Summary: A system of typed terms which corresponds with the classical natural deduction with one conclusion and full logical symbols is defined. The Church-Rosser property of the system is proved using an extended method of parallel reduction.

##### MSC:
 03B10 Classical first-order logic 03B40 Combinatory logic and lambda calculus 03F05 Cut-elimination and normal-form theorems
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##### References:
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