Type Theory And Functional Programming

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Type Theory and Functional Programming

Author: Simon Thompson
language: en
Publisher: Addison Wesley Publishing Company
Release Date: 1991
This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to reinforce understanding.
Types and Programming Languages

A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.
Advanced Functional Programming

Author: Varmo Vene
language: en
Publisher: Springer Science & Business Media
Release Date: 2005-09-15
This tutorial book presents nine carefully revised lectures given at the 5th International School on Functional Programming, AFP 2004, in Tartu, Estonia in August 2004. The book presents the following nine, carefully cross-reviewed chapters, written by leading authorities in the field: Typing Haskell with an Attribute Grammar, Programming with Arrows, Epigram: Practical Programming with Dependent Types, Combining Datatypes and Effects, GEC: a toolkit for Generic Rapid Prototyping, A Functional Shell that Operates on Typed and Compiled Applications, Declarative Debugging with Buddha, Server-Side Web Programming in WASH, and Refactoring Functional Programs.