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Lambda Calculus Combinators And Functional Programming
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Book Synopsis Lambda-calculus, Combinators and Functional Programming by : G. E. Revesz
Download or read book Lambda-calculus, Combinators and Functional Programming written by G. E. Revesz and published by Cambridge University Press. This book was released on 2009-06-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lambda-Calculus and Combinators by : J. Roger Hindley
Download or read book Lambda-Calculus and Combinators written by J. Roger Hindley and published by Cambridge University Press. This book was released on 2008-07-24 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to Functional Programming Through Lambda Calculus by : Greg Michaelson
Download or read book An Introduction to Functional Programming Through Lambda Calculus written by Greg Michaelson and published by Courier Corporation. This book was released on 2013-04-10 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Combinators and (lambda) Calculus by : J. R. Hindley
Download or read book Introduction to Combinators and (lambda) Calculus written by J. R. Hindley and published by CUP Archive. This book was released on 1986-05-29 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lambda Calculus with Types by : Henk Barendregt
Download or read book Lambda Calculus with Types written by Henk Barendregt and published by Cambridge University Press. This book was released on 2013-06-20 with total page 969 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lambda-Calculus and Combinators by : J. Roger Hindley
Download or read book Lambda-Calculus and Combinators written by J. Roger Hindley and published by Cambridge University Press. This book was released on 2008-07-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :J. Roger Hindley Publisher :Cambridge [Cambridgeshire] ; New York : Cambridge University Press ISBN 13 :9780521318396 Total Pages :360 pages Book Rating :4.3/5 (183 download)
Book Synopsis Introduction to Combinators and [lambda]-calculus by : J. Roger Hindley
Download or read book Introduction to Combinators and [lambda]-calculus written by J. Roger Hindley and published by Cambridge [Cambridgeshire] ; New York : Cambridge University Press. This book was released on 1986 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Categorical Combinators, Sequential Algorithms, and Functional Programming by : P.-L. Curien
Download or read book Categorical Combinators, Sequential Algorithms, and Functional Programming written by P.-L. Curien and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised edition of the monograph which appeared under the same title in the series Research Notes in Theoretical Computer Science, Pit man, in 1986. In addition to a general effort to improve typography, English, and presentation, the main novelty of this second edition is the integration of some new material. Part of it is mine (mostly jointly with coauthors). Here is brief guide to these additions. I have augmented the account of categorical combinatory logic with a description of the confluence properties of rewriting systems of categor ical combinators (Hardin, Yokouchi), and of the newly developed cal culi of explicit substitutions (Abadi, Cardelli, Curien, Hardin, Levy, and Rios), which are similar in spirit to the categorical combinatory logic, but are closer to the syntax of A-calculus (Section 1.2). The study of the full abstraction problem for PCF and extensions of it has been enriched with a new full abstraction result: the model of sequential algorithms is fully abstract with respect to an extension of PCF with a control operator (Cartwright, Felleisen, Curien). An order extensional model of error-sensitive sequential algorithms is also fully abstract for a corresponding extension of PCF with a control operator and errors (Sections 2.6 and 4.1). I suggest that sequential algorithms lend themselves to a decomposition of the function spaces that leads to models of linear logic (Lamarche, Curien), and that connects sequentiality with games (Joyal, Blass, Abramsky) (Sections 2.1 and 2.6).
Book Synopsis To Mock a Mockingbird by : Raymond M. Smullyan
Download or read book To Mock a Mockingbird written by Raymond M. Smullyan and published by Oxford University Press, USA. This book was released on 2000 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Lambda Calculus by : H.P. Barendregt
Download or read book The Lambda Calculus written by H.P. Barendregt and published by North Holland. This book was released on 1984 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Implementation of Functional Programming Languages by : Simon L. Peyton Jones
Download or read book The Implementation of Functional Programming Languages written by Simon L. Peyton Jones and published by Prentice Hall. This book was released on 1987 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lambda Calculus with Types by : Hendrik Pieter Barendregt
Download or read book Lambda Calculus with Types written by Hendrik Pieter Barendregt and published by . This book was released on 2013 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."--Publisher's website.
Book Synopsis Essentials of Programming Languages, third edition by : Daniel P. Friedman
Download or read book Essentials of Programming Languages, third edition written by Daniel P. Friedman and published by MIT Press. This book was released on 2008-04-18 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a textbook that provides students with a deep, working understanding of the essential concepts of programming languages, completely revised, with significant new material. This book provides students with a deep, working understanding of the essential concepts of programming languages. Most of these essentials relate to the semantics, or meaning, of program elements, and the text uses interpreters (short programs that directly analyze an abstract representation of the program text) to express the semantics of many essential language elements in a way that is both clear and executable. The approach is both analytical and hands-on. The book provides views of programming languages using widely varying levels of abstraction, maintaining a clear connection between the high-level and low-level views. Exercises are a vital part of the text and are scattered throughout; the text explains the key concepts, and the exercises explore alternative designs and other issues. The complete Scheme code for all the interpreters and analyzers in the book can be found online through The MIT Press web site. For this new edition, each chapter has been revised and many new exercises have been added. Significant additions have been made to the text, including completely new chapters on modules and continuation-passing style. Essentials of Programming Languages can be used for both graduate and undergraduate courses, and for continuing education courses for programmers.
Book Synopsis Combinators and Functional Programming Languages by : Guy Cousineau
Download or read book Combinators and Functional Programming Languages written by Guy Cousineau and published by Springer. This book was released on 1986 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Semantics with Functional Programming by : Jan van Eijck
Download or read book Computational Semantics with Functional Programming written by Jan van Eijck and published by Cambridge University Press. This book was released on 2010-09-23 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational semantics is the art and science of computing meaning in natural language. The meaning of a sentence is derived from the meanings of the individual words in it, and this process can be made so precise that it can be implemented on a computer. Designed for students of linguistics, computer science, logic and philosophy, this comprehensive text shows how to compute meaning using the functional programming language Haskell. It deals with both denotational meaning (where meaning comes from knowing the conditions of truth in situations), and operational meaning (where meaning is an instruction for performing cognitive action). Including a discussion of recent developments in logic, it will be invaluable to linguistics students wanting to apply logic to their studies, logic students wishing to learn how their subject can be applied to linguistics, and functional programmers interested in natural language processing as a new application area.
Book Synopsis Understanding Computation by : Tom Stuart
Download or read book Understanding Computation written by Tom Stuart and published by "O'Reilly Media, Inc.". This book was released on 2013-05-15 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Typed Lambda Calculi and Applications by : Marc Bezem
Download or read book Typed Lambda Calculi and Applications written by Marc Bezem and published by Springer Science & Business Media. This book was released on 1993-03-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lambda calculus was developed in the 1930s by Alonzo Church. The calculus turned out to be an interesting model of computation and became theprototype for untyped functional programming languages. Operational and denotational semantics for the calculus served as examples for otherprogramming languages. In typed lambda calculi, lambda terms are classified according to their applicative behavior. In the 1960s it was discovered that the types of typed lambda calculi are in fact appearances of logical propositions. Thus there are two possible views of typed lambda calculi: - as models of computation, where terms are viewed as programs in a typed programming language; - as logical theories, where the types are viewed as propositions and the terms as proofs. The practical spin-off from these studies are: - functional programming languages which are mathematically more succinct than imperative programs; - systems for automated proof checking based on lambda caluli. This volume is the proceedings of TLCA '93, the first international conference on Typed Lambda Calculi and Applications,organized by the Department of Philosophy of Utrecht University. It includes29 papers selected from 51 submissions.
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