Practical Foundations for Programming Languages
by Robert Harper
Publisher: Carnegie Mellon University 2016
Number of pages: 580
This is a working draft of a book on the foundations of programming languages. The central organizing principle of the book is that programming language features may be seen as manifestations of an underlying type structure that governs its syntax and semantics. The emphasis, therefore, is on the concept of type, which codiﬁes and organizes the computational universe in much the same way that the concept of set may be seen as an organizing principle for the mathematical universe. The purpose of this book is to explain this remark.
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by Shriram Krishnamurthi - Lulu.com
The textbook for a programming languages course, taken primarily by advanced undergraduate and beginning graduate students. This book assumes that students have modest mathematical maturity, and are familiar with the existence of the Halting Problem.
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This book applies the deductive method to programming by affiliating programs with the abstract mathematical theories. Specification of these theories, algorithms and theorems and lemmas describing their properties are presented together.
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Contents: Basic Categorial Syntax; Shortcomings of Standard Categorial Syntax; Expanded Categorial Syntax; Examples of Expanded Categorial Syntax; Categorial Logic; Basic Categorial Semantics; Lambda-Abstraction; Expanded Categorial Semantics; etc.
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The book presents the typically difficult subject of formal methods in an informal, easy-to-follow manner. Readers with a basic grounding in discreet mathematics will be able to understand the practical applications of these difficult concepts.