Title: A Simple Lambda-Calculus Model of Programming Languages (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1332196020
ISBN 13: 9781332196029
Binding: PAP
Condition: New
Weight: 175 grams

About this title

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.

"About this title" may belong to another edition of this title.

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