An Introduction to Functional Programming Through Lambda Calculus

Author: Greg Michaelson
Publisher: Courier Corporation
ISBN: 0486478831
Category : Mathematics
Languages : en
Pages : 338

Book Description
This well-respected text offers an accessible introduction to functional programming concepts and techniques for students of mathematics and computer science. The treatment is as nontechnical as possible, assuming no prior knowledge of mathematics or functional programming. Numerous exercises appear throughout the text, and all problems feature complete solutions. 1989 edition.

An Introduction to Functional Programming Through Lambda Calculus

Author: Greg Michaelson
Publisher: Courier Corporation
ISBN: 0486280292
Category : Mathematics
Languages : en
Pages : 338

Book Description
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.

An Introduction to Functional Programming Through Lambda Calculus

Author: Greg Michaelson
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Computers
Languages : en
Pages : 342

Book Description

Functional Programming

Author: Peter Henderson
Publisher: Prentice Hall
ISBN:
Category : Computers
Languages : en
Pages : 374

Book Description

The Lambda Calculus

Author: H.P. Barendregt
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 648

Book Description
The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications are given of those parts of the book which can be used to form a coherent course.

Introduction to Functional Programming Systems Using Haskell

Author: Antony J. T. Davie
Publisher: Cambridge University Press
ISBN: 9780521277242
Category : Computers
Languages : en
Pages : 308

Book Description
Here is an introduction to functional programming and its associated systems. A unique feature is its use of the language Haskell for teaching both the rudiments and the finer points of the functional technique. Haskell is a new, internationally agreed and accepted functional language that is designed for teaching, research and applications, that has a complete formal description, that is freely available, and that is based on ideas that have a wide consensus. Thus it encapsulates some of the main thrusts of functional programming itself, which is a style of programming designed to confront the software crisis directly. Programs written in functional languages can be built up from smaller parts, and they can also be proved correct, important when software has to be reliable. Moreover, a certain amount of parallelism can be extracted from functional languages automatically. This book serves as an introduction both to functional programming and Haskell, and will be most useful to students, teachers and researchers in either of these areas. An especially valuable feature are the chapters on programming and implementation, along with a large number of exercises.

Lambda-calculus, Combinators and Functional Programming

Author: G. E. Revesz
Publisher: Cambridge University Press
ISBN: 9780521114295
Category : Computers
Languages : en
Pages : 0

Book Description
Originally published in 1988, this book presents an introduction to lambda-calculus and combinators without getting lost in the details of mathematical aspects of their theory. Lambda-calculus is treated here as a functional language and its relevance to computer science is clearly demonstrated. The main purpose of the book is to provide computer science students and researchers with a firm background in lambda-calculus and combinators and show the applicabillity of these theories to functional programming. The presentation of the material is self-contained. It can be used as a primary text for a course on functional programming. It can also be used as a supplementary text for courses on the structure and implementation of programming languages, theory of computing, or semantics of programming languages.

Functional Programming

Author: Bruce J. MacLennan
Publisher: Addison-Wesley Professional
ISBN:
Category : Computers
Languages : en
Pages : 616

Book Description

Lambda Calculus with Types

Author: Henk Barendregt
Publisher: Cambridge University Press
ISBN: 1107276349
Category : Mathematics
Languages : en
Pages : 969

Book Description
This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.

An Introduction to Lambda Calculi for Computer Scientists

Author: Chris Hankin
Publisher: College Publications
ISBN: 9780954300654
Category : Computers
Languages : en
Pages : 164

Book Description
The lambda-calculus lies at the very foundations of computer science. Besides its historical role in computability theory it has had significant influence on programming language design and implementation, denotational semantics, and domain theory. The book emphasises the proof theory for the type-free lambda-calculus. The first six chapters concern this calculus and cover the basic theory, reduction, models, computability, and the relationship between the lambda-calculus and combinatory logic. Chapter 7 presents a variety of typed calculi; first the simply typed lambda-calculus, then Milner-style polymorphism and, finally, the polymorphic lambda-calculus. Chapter 8 concerns two variants of the type-free lambda-calculus that have appeared in the research literature: the lazy lambda-calculus, and the lambda sigma-calculus. The final chapter contains references and a guide to further reading. There are exercises throughout. In contrast to earlier books on these topics, which were written by logicians, this book is written from a computer science perspective and emphasises the practical relevance of many of the key theoretical ideas. The book is intended as a course text for final year undergraduates or first year graduate students in computer science. Research students should find it a useful introduction to more specialist literature.