A Simple Lambda-Calculus Model of Programming Languages (Classic Reprint) - Couverture souple

S. Kamal Abdali

Couverture souple

ISBN 10 : 1332196020 ISBN 13 : 9781332196029

Editeur : Forgotten Books, 2018

Synopsis

A clear, lambda-based view of turning programs into math objects you can reason about. This book presents a model where programs are represented by lambda-expressions, so programming semantics become pure lambda-calculus semantics without adding machine details. It aims to show how a program’s input-output behavior can be captured and analyzed purely through functional representations.

The work argues for a model that avoids memory or fetch-and-store concepts, keeping assignments as substitutions within the lambda framework. It also demonstrates how high-level language constructs, like ALGOL 60 features, can be translated directly into lambda-expressions and reduced to meaningful results. The approach emphasizes simplicity and intuitive justification, while offering ways to trace execution steps through a modified reduction process.

• Programs are represented by lambda-expressions that capture input-output behavior as functions.


• Reduction and normal forms show how programs compute, without simulating machine state.


• High-level constructs, including loops, conditionals, and even certain ALGOL 60 features, map to lambda-transforms.


• The model supports tracing execution steps and can extend to other language features.

Ideal for readers of programming language theory and formal models who want a purely functional perspective on program representation.

A propos du livre

Présentation de l'éditeur

Excerpt from A Simple Lambda-Calculus Model of Programming Languages

We present a simple correspondence between a large subset of Algol 60 language and lambda-calculus. With the aid of this correspondence, a program can be translated into a single lambda-expression. In general, the representation of a program is specified by means of a system of simultaneous conversion relations among the representations of the program constituents. High-level programming language features are treated directly, not in terms of the representations of machine-level operations. The model includes input-output in such a way that when the representation of a (convergent) program is applied to the input item representations, the resulting combination reduces to a tuple of the representations of the output items. This model does not introduce any imperative notions into the calculus; the descriptive programming constructs, such as expressions, and the imperative ones, such as assignments and jumps, are translated alike into pure lambda-expressions. The applicability of the model to the problems of proving program equivalence and correctness is illustrated by means of simple examples.

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Présentation de l'éditeur

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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1332196020
• ISBN 13: 9781332196029
• Reliure: Broché
• Nombre de pages: 66
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