Titlebook: Isomorphisms of Types; from ?-calculus to i Roberto Cosmo Book 1995 Birkh?user Boston 1995 Mathematica.Permutation.calculus.logic.mathemati

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fleeting

Occupation

Confluence Results,In the λ-calculus there are plenty of programs (or λ-terms) where it is pos-sible to apply the reduction rule ., introduced in 1.3.4, in more than one position. The λ-calculus does not specify a unique evaluation order, or ., that associates to each program or term a unique position where the reduction will proceed.

Excise

,Strong normalization for subsystems of λ,,?,Our proof of confluence in Theorem 2.4.5 relies upon the strong normalization of . over the set of . normal forms, while we need the strong normalization of . less .. and .. over the full set of terms in order to provide an effective weakly normalizing strategy for . in Theorem 2.5.2.

STELL

Second-Order Isomorphic Types,This chapter is dedicated to the proof of completeness of Th.. for iso-morphisms in λ..?. This proof is by far the most complex present in this book, because in the second-order case we have to face the problem of invertibility of terms almost anew, and we can no longer avoid it as we did for the first-order systems.

不能約

Introduction,l relevance. A . is simply seen as a useful means of classification of the objects that a program manipulates: types help to understand better what a program does, and they also provide a valuable firewall against many common programming errors.

observatory

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