J.Y. Girard. Une extension de l`interpr'etation de Godel `a l`analyse, et son application `a l`'elimination des coupures dans l`analyse et la th'eorie des types. In J.E. Fenstad, editor, Proceedings of the Second Scandinavian Logic Symposium, pages 63--92. North-Holland Publishing Co., 1971.

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The Cut Rule and Explicit Substitutions - Vestergaard (1998)   (3 citations)  (Correct)

....we are concerned with. They have done so in roughly speaking two different ways: Using either an extensional or an intensional construction of the calculus of proof terms. The extensional approach uses meta level substitution, rather than unique syntax constructors, when constructing proof terms [21, 42, 43, 53]. Hence, these have studied many to one correspondences between derivations and terms thus side stepping the (object level) computational meaning of the cut rule. As for the intensional approach, the tutorial by Gallier [19] is the first comprehensive exposition in the case of L systems. It spells ....

J.Y. Girard. Une extension de l`interpr'etation de Godel `a l`analyse, et son application `a l`'elimination des coupures dans l`analyse et la th'eorie des types. In J.E. Fenstad, editor, Proceedings of the Second Scandinavian Logic Symposium, pages 63--92. North-Holland Publishing Co., 1971.

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