Combinators And Functional Programming Languages

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Categorical Combinators, Sequential Algorithms, and Functional Programming

Author : P.-L. Curien
Publisher : Springer Science & Business Media
ISBN 13 : 9780817636548
Total Pages : 434 pages
Book Rating : 4.6/5 (365 download)

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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 1993-01-01 with total page 434 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).

Lambda-calculus, Combinators and Functional Programming

Author : G. E. Revesz
Publisher : Cambridge University Press
ISBN 13 : 9780521114295
Total Pages : 0 pages
Book Rating : 4.1/5 (142 download)

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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.

To Mock a Mockingbird

Author : Raymond M. Smullyan
Publisher : Oxford University Press, USA
ISBN 13 : 0192801422
Total Pages : 258 pages
Book Rating : 4.1/5 (928 download)

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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.

Categorical Combinators, Sequential Algorithms, and Functional Programming

Author : Pierre-Louis Curien
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Categorical Combinators, Sequential Algorithms, and Functional Programming by : Pierre-Louis Curien

Download or read book Categorical Combinators, Sequential Algorithms, and Functional Programming written by Pierre-Louis Curien and published by . This book was released on 1986 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinators and Functional Programming Languages

Author : Guy Cousineau
Publisher : Springer
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.3/5 (91 download)

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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:

Lambda-Calculus and Combinators

Author : J. Roger Hindley
Publisher : Cambridge University Press
ISBN 13 : 9780521898850
Total Pages : 358 pages
Book Rating : 4.8/5 (988 download)

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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.

Introduction to Combinators and (lambda) Calculus

Author : J. R. Hindley
Publisher : CUP Archive
ISBN 13 : 9780521318396
Total Pages : 376 pages
Book Rating : 4.3/5 (183 download)

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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.

Two-Level Functional Languages

Author : Flemming Nielson
Publisher : Cambridge University Press
ISBN 13 : 9780521018470
Total Pages : 312 pages
Book Rating : 4.0/5 (184 download)

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Book Synopsis Two-Level Functional Languages by : Flemming Nielson

Download or read book Two-Level Functional Languages written by Flemming Nielson and published by Cambridge University Press. This book was released on 2005-08-22 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors describe here a framework in which the type notation of functional languages is extended to include a notation for binding times (that is run-time and compile-time) that distinguishes between them. Consequently, the ability to specify code and verify program correctness can be improved. Two developments are needed, the first of which introduces the binding time distinction into the lambda calculus in a manner analogous with the introduction of types into the untyped lambda calculus. Methods are also presented for introducing combinators for run-time. The second concerns the interpretation of the resulting language, which is known as the mixed lambda-calculus and combinatory logic. The notion of "parametrized semantics" is used to describe code generation and abstract interpretation. The code generation is for a simple abstract machine designed for the purpose, it is close to the categorical abstract machine. The abstract interpretation focuses on a strictness analysis that generalizes Wadler's analysis for lists. It is also shown how the results of abstract interpretation may be used to improve the code generation.

Functional Programming Languages and Computer Architecture

Author : Jean-Pierre Jouannaud
Publisher : Springer Science & Business Media
ISBN 13 : 9783540159759
Total Pages : 424 pages
Book Rating : 4.1/5 (597 download)

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Book Synopsis Functional Programming Languages and Computer Architecture by : Jean-Pierre Jouannaud

Download or read book Functional Programming Languages and Computer Architecture written by Jean-Pierre Jouannaud and published by Springer Science & Business Media. This book was released on 1985-09 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Programming Languages and Computer Architecture

Author : John Hughes
Publisher : Springer Science & Business Media
ISBN 13 : 9783540543961
Total Pages : 684 pages
Book Rating : 4.5/5 (439 download)

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Book Synopsis Functional Programming Languages and Computer Architecture by : John Hughes

Download or read book Functional Programming Languages and Computer Architecture written by John Hughes and published by Springer Science & Business Media. This book was released on 1991-08-07 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive view of the best and the latest work in functional programming. It is the proceedings of a major international conference and contains 30 papers selected from 126 submitted. A number of themes emerge. One is a growing interest in types: powerful type systems or type checkers supporting overloading, coercion, dynamic types, and incremental inference; linear types to optimize storage, and polymorphic types to optimize semantic analysis. The hot topic of partial evaluation is well represented: techniques for higher-order binding-time analysis, assuring termination of partial evaluation, and improving the residual programs a partial evaluator generates. The thorny problem of manipulating state in functional languages is addressed: one paper even argues that parallel programs with side-effects can be "more declarative" than purely functional ones. Theoretical work covers a new model of types based on projections, parametricity, a connection between strictness analysis and logic, and a discussion of efficient implementations of the lambda-calculus. The connection with computer architecture and a variety of other topics are also addressed.

The Implementation of Functional Programming Languages

Author : Simon L. Peyton Jones
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)

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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:

An Introduction to Functional Programming Through Lambda Calculus

Author : Greg Michaelson
Publisher : Courier Corporation
ISBN 13 : 0486280292
Total Pages : 338 pages
Book Rating : 4.4/5 (862 download)

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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.

Categorical Combinators, Sequential Algorithms, and Functional Programming

Author : P.-L. Curien
Publisher : Springer Science & Business Media
ISBN 13 : 1461203171
Total Pages : 425 pages
Book Rating : 4.4/5 (612 download)

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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).

JavaScript Allongé

Author : Reginald Braithwaite
Publisher : Justin Kelly
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4./5 ( download)

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Book Synopsis JavaScript Allongé by : Reginald Braithwaite

Download or read book JavaScript Allongé written by Reginald Braithwaite and published by Justin Kelly. This book was released on 2013-10-04 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: JavaScript Allongé solves two important problems for the ambitious JavaScript programmer. First, JavaScript Allongé gives you the tools to deal with JavaScript bugs, hitches, edge cases, and other potential pitfalls. There are plenty of good directions for how to write JavaScript programs. If you follow them without alteration or deviation, you will be satisfied. Unfortunately, software is a complex thing, full of interactions and side-effects. Two perfectly reasonable pieces of advice when taken separately may conflict with each other when taken together. An approach may seem sound at the outset of a project, but need to be revised when new requirements are discovered. When you “leave the path” of the directions, you discover their limitations. In order to solve the problems that occur at the edges, in order to adapt and deal with changes, in order to refactor and rewrite as needed, you need to understand the underlying principles of the JavaScript programming language in detail. You need to understand why the directions work so that you can understand how to modify them to work properly at or beyond their original limitations. That’s where JavaScript Allongé comes in. JavaScript Allongé is a book about programming with functions, because JavaScript is a programming language built on flexible and powerful functions. JavaScript Allongé begins at the beginning, with values and expressions, and builds from there to discuss types, identity, functions, closures, scopes, and many more subjects up to working with classes and instances. In each case, JavaScript Allongé takes care to explain exactly how things work so that when you encounter a problem, you’ll know exactly what is happening and how to fix it. Second, JavaScript Allongé provides recipes for using functions to write software that is simpler, cleaner, and less complicated than alternative approaches that are object-centric or code-centric. JavaScript idioms like function combinators and decorators leverage JavaScript’s power to make code easier to read, modify, debug and refactor, thus avoiding problems before they happen. JavaScript Allongé teaches you how to handle complex code, and it also teaches you how to simplify code without dumbing it down. As a result, JavaScript Allongé is a rich read releasing many of JavaScript’s subtleties, much like the Café Allongé beloved by coffee enthusiasts everywhere. License: CC BY-SA 3.0 Source is available from Github * https://github.com/justinkelly/javascript-allonge

Computational Semantics with Functional Programming

Author : Jan van Eijck
Publisher : Cambridge University Press
ISBN 13 : 1139490907
Total Pages : 422 pages
Book Rating : 4.1/5 (394 download)

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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.

Modern Compiler Implementation in ML

Author : Andrew W. Appel
Publisher : Cambridge University Press
ISBN 13 : 1107268540
Total Pages : 673 pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis Modern Compiler Implementation in ML by : Andrew W. Appel

Download or read book Modern Compiler Implementation in ML written by Andrew W. Appel and published by Cambridge University Press. This book was released on 2004-07-08 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, expanded textbook describes all phases of a modern compiler: lexical analysis, parsing, abstract syntax, semantic actions, intermediate representations, instruction selection via tree matching, dataflow analysis, graph-coloring register allocation, and runtime systems. It includes good coverage of current techniques in code generation and register allocation, as well as functional and object-oriented languages, that are missing from most books. In addition, more advanced chapters are now included so that it can be used as the basis for two-semester or graduate course. The most accepted and successful techniques are described in a concise way, rather than as an exhaustive catalog of every possible variant. Detailed descriptions of the interfaces between modules of a compiler are illustrated with actual C header files. The first part of the book, Fundamentals of Compilation, is suitable for a one-semester first course in compiler design. The second part, Advanced Topics, which includes the advanced chapters, covers the compilation of object-oriented and functional languages, garbage collection, loop optimizations, SSA form, loop scheduling, and optimization for cache-memory hierarchies.

A New Kind of Science

Author : Stephen Wolfram
Publisher :
ISBN 13 : 9780713991161
Total Pages : 1197 pages
Book Rating : 4.9/5 (911 download)

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Book Synopsis A New Kind of Science by : Stephen Wolfram

Download or read book A New Kind of Science written by Stephen Wolfram and published by . This book was released on 2002 with total page 1197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the book by striking computer graphics---Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe. Wolfram uses his approach to tackle a remarkable array of fundamental problems in science: from the origin of the Second Law of thermodynamics, to the development of complexity in biology, the computational limitations of mathematics, the possibility of a truly fundamental theory of physics, and the interplay between free will and determinism.