Type Theory And Functional Programming

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Type Theory And Functional Programming

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Author : Simon Thompson
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1991

Type Theory And Functional Programming written by Simon Thompson and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.

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.

Basic Category Theory For Computer Scientists

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Author : Benjamin C. Pierce
language : en
Publisher: MIT Press
Release Date : 1991-08-07

Basic Category Theory For Computer Scientists written by Benjamin C. Pierce and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-07 with Computers categories.

Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading

Type Theory And Formal Proof

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Author : Rob Nederpelt
language : en
Publisher: Cambridge University Press
Release Date : 2014-11-06

Type Theory And Formal Proof written by Rob Nederpelt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-06 with Computers categories.

A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.

Category Theory For Programmers New Edition Hardcover

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Author : Bartosz Milewski
language : en
Publisher:
Release Date : 2019-08-24

Category Theory For Programmers New Edition Hardcover written by Bartosz Milewski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-24 with categories.

Category Theory is one of the most abstract branches of mathematics. It is usually taught to graduate students after they have mastered several other branches of mathematics, like algebra, topology, and group theory. It might, therefore, come as a shock that the basic concepts of category theory can be explained in relatively simple terms to anybody with some experience in programming.That's because, just like programming, category theory is about structure. Mathematicians discover structure in mathematical theories, programmers discover structure in computer programs. Well-structured programs are easier to understand and maintain and are less likely to contain bugs. Category theory provides the language to talk about structure and learning it will make you a better programmer.

Programming In Martin L F S Type Theory

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Author : Bengt Nordström
language : en
Publisher:
Release Date : 1990

Programming In Martin L F S Type Theory written by Bengt Nordström and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.

In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Löf. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples.

An Introduction To Functional Programming Through Lambda Calculus

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Author : Greg Michaelson
language : en
Publisher: Courier Corporation
Release Date : 2013-04-10

An Introduction To Functional Programming Through Lambda Calculus written by Greg Michaelson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.

Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforcement. Includes solutions. 1989 edition.

Types And Programming Languages

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Author : Benjamin C. Pierce
language : en
Publisher: MIT Press
Release Date : 2002-01-04

Types And Programming Languages written by Benjamin C. Pierce and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-04 with Computers categories.

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.

The Optimal Implementation Of Functional Programming Languages

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Author : Andrea Asperti
language : en
Publisher: Cambridge University Press
Release Date : 1998-12-03

The Optimal Implementation Of Functional Programming Languages written by Andrea Asperti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-03 with Computers categories.

First account of the subject by two of its leading exponents. Essentially self-contained.

Programming With Types

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Author : Vlad Riscutia
language : en
Publisher: Simon and Schuster
Release Date : 2019-10-31

Programming With Types written by Vlad Riscutia and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-31 with Computers categories.

Summary Programming with Types teaches you to design safe, resilient, correct software that’s easy to maintain and understand by taking advantage of the power of strong type systems. Designed to provide practical, instantly useful techniques for working developers, this clearly written tutorial introduces you to using type systems to support everyday programming tasks. About the technology Common bugs often result from mismatched data types. By precisely naming and controlling which data are allowable in a calculation, a strong type system can eliminate whole classes of errors and ensure data integrity throughout an application. As a developer, skillfully using types in your everyday practice leads to better code and saves time tracking down tricky data-related errors. About the book Programming with Types teaches type-based techniques for writing software that’s safe, correct, easy to maintain, and practically self-documenting. Designed for working developers, this clearly written tutorial sticks with the practical benefits of type systems for everyday programming tasks. Following real-world examples coded in TypeScript, you’ll build your skills from primitive types up to more-advanced concepts like functors and monads. What's inside Building data structures with primitive types, arrays, and references How types affect functions, inheritance, and composition Object-oriented programming with types Applying generics and higher-kinded types About the reader You’ll need experience with a mainstream programming language like TypeScript, Java, JavaScript, C#, or C++. About the author Vlad Riscutia is a principal software engineer at Microsoft. He has headed up several major software projects and mentors up-and-coming software engineers.