› › Lambda Calculus Combinators And Functional Programming

Lambda-calculus, Combinators and Functional Programming

Author : G. E. Revesz

Publisher : Cambridge University Press

Page : 0 pages

File Size : 23,20 MB

Release : 2009-06-25

Category : Computers

ISBN : 9780521114295

Get eBook

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.



Lambda-Calculus and Combinators

Author : J. Roger Hindley

Publisher : Cambridge University Press

Page : 358 pages

File Size : 25,31 MB

Release : 2008-07-24

Category : Computers

ISBN : 9780521898850

Get eBook

Book Description

Combinatory logic and lambda-calculus, originally devised in the 1920's, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the main reference for introductory courses on lambda-calculus for over 20 years: this long-awaited new version is thoroughly revised and offers a fully up-to-date account of the subject, with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambda-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.



Introduction to Combinators and (lambda) Calculus

Author : J. R. Hindley

Publisher : CUP Archive

Page : 376 pages

File Size : 30,25 MB

Release : 1986-05-29

Category : Mathematics

ISBN : 9780521318396

Get eBook

Book Description

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.



An Introduction to Functional Programming Through Lambda Calculus

Author : Greg Michaelson

Publisher : Courier Corporation

Page : 338 pages

File Size : 38,81 MB

Release : 2013-04-10

Category : Mathematics

ISBN : 0486280292

Get eBook

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.



Lambda Calculus with Types

Author : Henk Barendregt

Publisher : Cambridge University Press

Page : 969 pages

File Size : 33,48 MB

Release : 2013-06-20

Category : Mathematics

ISBN : 1107276349

Get eBook

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.



To Mock a Mockingbird

Author : Raymond M. Smullyan

Publisher : Oxford University Press, USA

Page : 258 pages

File Size : 11,6 MB

Release : 2000

Category : Games & Activities

ISBN : 0192801422

Get eBook

Book Description

The author of Forever Undecided, Raymond Smullyan continues to delight and astonish us with his gift for making available, in the thoroughly pleasurable form of puzzles, some of the most important mathematical thinking of our time.



The Lambda Calculus

Author : H.P. Barendregt

Publisher : North Holland

Page : 648 pages

File Size : 27,44 MB

Release : 1984

Category : Mathematics

ISBN :

Get eBook

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.





Understanding Computation

Author : Tom Stuart

Publisher : "O'Reilly Media, Inc."

Page : 389 pages

File Size : 35,68 MB

Release : 2013-05-15

Category : Computers

ISBN : 144933010X

Get eBook

Book Description

Finally, you can learn computation theory and programming language design in an engaging, practical way. Understanding Computation explains theoretical computer science in a context you’ll recognize, helping you appreciate why these ideas matter and how they can inform your day-to-day programming. Rather than use mathematical notation or an unfamiliar academic programming language like Haskell or Lisp, this book uses Ruby in a reductionist manner to present formal semantics, automata theory, and functional programming with the lambda calculus. It’s ideal for programmers versed in modern languages, with little or no formal training in computer science. Understand fundamental computing concepts, such as Turing completeness in languages Discover how programs use dynamic semantics to communicate ideas to machines Explore what a computer can do when reduced to its bare essentials Learn how universal Turing machines led to today’s general-purpose computers Perform complex calculations, using simple languages and cellular automata Determine which programming language features are essential for computation Examine how halting and self-referencing make some computing problems unsolvable Analyze programs by using abstract interpretation and type systems



Basic Simple Type Theory

Author : J. Roger Hindley

Publisher : Cambridge University Press

Page : 200 pages

File Size : 16,6 MB

Release : 1997

Category : Computers

ISBN : 0521465184

Get eBook

Book Description

Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. By concentrating on the principles that make the theory work in practice, the author covers all the key ideas without getting involved in the complications of more advanced systems. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm that lies at the heart of every such system. Also featured are two other interesting algorithms that until now have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making it the first book at this level that can be used as an introduction to type theory for computer scientists.