Introduction to Type® - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Type® write by . This book was released on . Introduction to Type® available in PDF, EPUB and Kindle.
The Little Typer
The Little Typer - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Little Typer write by Daniel P. Friedman. This book was released on 2018-09-18. The Little Typer available in PDF, EPUB and Kindle. An introduction to dependent types, demonstrating the most beautiful aspects, one step at a time. A program's type describes its behavior. Dependent types are a first-class part of a language, and are much more powerful than other kinds of types; using just one language for types and programs allows program descriptions to be as powerful as the programs they describe. The Little Typer explains dependent types, beginning with a very small language that looks very much like Scheme and extending it to cover both programming with dependent types and using dependent types for mathematical reasoning. Readers should be familiar with the basics of a Lisp-like programming language, as presented in the first four chapters of The Little Schemer. The first five chapters of The Little Typer provide the needed tools to understand dependent types; the remaining chapters use these tools to build a bridge between mathematics and programming. Readers will learn that tools they know from programming—pairs, lists, functions, and recursion—can also capture patterns of reasoning. The Little Typer does not attempt to teach either practical programming skills or a fully rigorous approach to types. Instead, it demonstrates the most beautiful aspects as simply as possible, one step at a time.
Introduction to Typing
Introduction to Typing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Typing write by . This book was released on 2015-07-01. Introduction to Typing available in PDF, EPUB and Kindle.
Type Theory and Formal Proof
Type Theory and Formal Proof - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Type Theory and Formal Proof write by Rob Nederpelt. This book was released on 2014-11-06. Type Theory and Formal Proof available in PDF, EPUB and Kindle. Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarise themselves with the material.
Types and Programming Languages
Types and Programming Languages - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Types and Programming Languages write by Benjamin C. Pierce. This book was released on 2002-01-04. Types and Programming Languages available in PDF, EPUB and Kindle. 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.
