Excerpt from A Simple Lambda-Calculus Model of Programming Languages
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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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Paperback. Etat : New. Print on Demand. This book explores programming languages through the lens of lambda calculus, a foundational mathematical system for computation. The author argues that lambda calculus provides a simple yet powerful framework for understanding the structure and behavior of programming languages. The book covers a wide range of topics, including: - The representation of programs as lambda expressions - The interpretation of lambda expressions as functions - The use of lambda calculus to model programming language features such as variables, constants, expressions, assignments, and control structures - The application of lambda calculus to the problems of proving program equivalence and correctness This book is a valuable resource for anyone interested in the foundations of programming languages or the use of lambda calculus in computer science. The author's clear and concise exposition makes this book accessible to readers with a variety of backgrounds, from students to experienced researchers. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781332196029_0
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