Introduction To Combinators And Lambda Calculus
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Introduction to Combinators and lambda Calculus
Author | : J. R. Hindley,J. P. Seldin |
Publsiher | : CUP Archive |
Total Pages | : 376 |
Release | : 1986-05-29 |
Genre | : Mathematics |
ISBN | : 0521318394 |
Download Introduction to Combinators and lambda Calculus Book in PDF, Epub and Kindle
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 |
Publsiher | : Courier Corporation |
Total Pages | : 336 |
Release | : 2013-04-10 |
Genre | : Mathematics |
ISBN | : 9780486280295 |
Download An Introduction to Functional Programming Through Lambda Calculus Book in PDF, Epub and Kindle
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 Combinators and Functional Programming
Author | : G. E. Revesz |
Publsiher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2009-06-25 |
Genre | : Computers |
ISBN | : 0521114292 |
Download Lambda calculus Combinators and Functional Programming Book in PDF, Epub and Kindle
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.
Introduction to Combinators and lambda calculus
![Introduction to Combinators and lambda calculus](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : J. Roger Hindley,J. P. Seldin |
Publsiher | : Cambridge [Cambridgeshire] ; New York : Cambridge University Press |
Total Pages | : 360 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 0521318394 |
Download Introduction to Combinators and lambda calculus Book in PDF, Epub and Kindle
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.
Lambda Calculus and Combinators
![Lambda Calculus and Combinators](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : J. Roger Hindley |
Publsiher | : Unknown |
Total Pages | : 359 |
Release | : 2008 |
Genre | : Combinatory logic |
ISBN | : 0511412363 |
Download Lambda Calculus and Combinators Book in PDF, Epub and Kindle
Combinatory logic and lambda-calculus, originally devised in the 1920s, 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 version is thoroughly revised and offers an 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 c.
Lambda Calculus with Types
Author | : Henk Barendregt,Wil Dekkers,Richard Statman |
Publsiher | : Cambridge University Press |
Total Pages | : 969 |
Release | : 2013-06-20 |
Genre | : Mathematics |
ISBN | : 9781107276345 |
Download Lambda Calculus with Types Book in PDF, Epub and Kindle
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.
Lambda Calculus and Combinators
Author | : J. Roger Hindley,Jonathan P. Seldin |
Publsiher | : Cambridge University Press |
Total Pages | : 346 |
Release | : 2008-07-24 |
Genre | : Computers |
ISBN | : 9781139473248 |
Download Lambda Calculus and Combinators Book in PDF, Epub and Kindle
Combinatory logic and lambda-calculus, originally devised in the 1920s, 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 version is thoroughly revised and offers an 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.
Combinatory Logic
Author | : Katalin Bimbó |
Publsiher | : CRC Press |
Total Pages | : 359 |
Release | : 2011-07-27 |
Genre | : Computers |
ISBN | : 9781439800003 |
Download Combinatory Logic Book in PDF, Epub and Kindle
Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Functioning as a comprehensive source for current developments of combinatory logic, this book is the only one of its kind to cover results of the last four decades. Using a reader-friendly style, the author presents the most up-to-date research studies. She includes an introduction to combinatory logic before progressing to its central theorems and proofs. The text makes intelligent and well-researched connections between combinatory logic and lambda calculi and presents models and applications to illustrate these connections.