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The Parametric Lambda Calculus

A Metamodel for Computation

Simona Ronchi Della Rocca, Luca Paolini
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Description

The A-calculus was invented by Church in the 1930s with the purpose of sup- plying a logical foundation for logic and mathematics [25]. Its use by Kleene as a coding for computable functions makes it the first programming lan- guage, in an abstract sense, exactly as the Thring machine can be considered the first computer machine [57]. The A-calculus has quite a simple syntax (with just three formation rules for terms) and a simple operational seman- tics (with just one operation, substitution), and so it is a very basic setting for studying computation properties. The first contact between A-calculus and real programming languages was in the years 1956-1960, when McCarthy developed the LISP programming language, inspired from A-calculus, which is the first "functional" program- ming language, Le., where functions are first-dass citizens [66]. But the use of A-calculus as an abstract paradigm for programming languages started later as the work of three important scientists: Strachey, Landin and B6hm.

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Contenu

Nombre de pages :
248
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9783642057465
Date de parution :
04-12-10
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
156 mm x 234 mm
Poids :
385 g

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