Typed Lambda Calculi and Applications: International Conference on Typed Lambda Calculi and Applications, TLCA '93, March 16-18, 1993, Utrecht, The...

Typed Lambda Calculi and Applications: International Conference on Typed Lambda Calculi and Applications, TLCA '93, March 16-18, 1993, Utrecht, The...
ISBN-10
3540565175
ISBN-13
9783540565178
Series
Typed Lambda Calculi and Applications
Category
Computers
Pages
432
Language
English
Published
1993-03-03
Publisher
Springer Science & Business Media
Authors
Marc Bezem, Jan F. Groote

Description

The lambda calculus was developed in the 1930s by Alonzo Church. The calculus turned out to be an interesting model of computation and became theprototype for untyped functional programming languages. Operational and denotational semantics for the calculus served as examples for otherprogramming languages. In typed lambda calculi, lambda terms are classified according to their applicative behavior. In the 1960s it was discovered that the types of typed lambda calculi are in fact appearances of logical propositions. Thus there are two possible views of typed lambda calculi: - as models of computation, where terms are viewed as programs in a typed programming language; - as logical theories, where the types are viewed as propositions and the terms as proofs. The practical spin-off from these studies are: - functional programming languages which are mathematically more succinct than imperative programs; - systems for automated proof checking based on lambda caluli. This volume is the proceedings of TLCA '93, the first international conference on Typed Lambda Calculi and Applications,organized by the Department of Philosophy of Utrecht University. It includes29 papers selected from 51 submissions.

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