An Introduction to Functional Programming Through Lambda Calculus

Author: Greg Michaelson
Publisher: Courier Corporation
ISBN: 0486280292
Format: PDF, ePub, Docs
Download and Read
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: Courier Corporation
ISBN: 0486478831
Format: PDF, Mobi
Download and Read
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.

Lambda Calculus with Types

Author: Henk Barendregt
Publisher: Cambridge University Press
ISBN: 1107276349
Format: PDF
Download and Read
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.

Introduction to Combinators and lambda Calculus

Author: J. R. Hindley
Publisher: CUP Archive
ISBN: 9780521268967
Format: PDF, ePub, Mobi
Download and Read
Combinatory logic and lambda-conversion were originally devised in the 1920s for investigating the foundations of mathematics using the basic concept of 'operation' instead of 'set'. They have now developed into linguistic tools, useful in several branches of logic and computer science, especially in the study of programming languages. These notes form a simple introduction to the two topics, suitable for a reader who has no previous knowledge of combinatory logic, but has taken an undergraduate course in predicate calculus and recursive functions. The key ideas and basic results are presented, as well as a number of more specialised topics, and man), exercises are included to provide manipulative practice.

The Lambda Calculus

Author: H.P. Barendregt
Publisher: Elsevier
ISBN: 9780080933757
Format: PDF
Download and Read
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.

Functional Programming

Author: Bruce J. MacLennan
Publisher: Addison-Wesley Professional
ISBN: 9780201137446
Format: PDF, ePub, Mobi
Download and Read
This book is more than an introduction to programming in functional languages; it introduces functional programming as a new programming paradigm. Its focus is on functional programming methodology--what it is, and how it can be used to good effect. In particular, the book shows how this methodology can be used effectively in deriving, analyzing, and proving the correctness of programs. In as much as this book emphasizes general methodology over any particular language, the author has chosen standard mathematical notation for his examples.

Purely Functional Data Structures

Author: Chris Okasaki
Publisher: Cambridge University Press
ISBN: 9780521663502
Format: PDF, Docs
Download and Read
This book describes data structures and data structure design techniques for functional languages.

Type Theory Functional Programming

Author: Simon Thompson
Publisher: Addison Wesley Publishing Company
ISBN: 9780201416671
Format: PDF, Kindle
Download and Read
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.