Lambda Calculus Combinators And Functional Programming
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Lambda Calculus Combinators And Functional Programming
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Author : G. E. Revesz
language : en
Publisher: Cambridge University Press
Release Date : 2009-06-25
Lambda Calculus Combinators And Functional Programming written by G. E. Revesz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-25 with Computers categories.
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
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Author : J. Roger Hindley
language : en
Publisher:
Release Date : 2008
Lambda Calculus And Combinators written by J. Roger Hindley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Combinatory logic categories.
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.
Categorical Combinators Sequential Algorithms And Functional Programming
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Author : P.-L. Curien
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-01-01
Categorical Combinators Sequential Algorithms And Functional Programming written by P.-L. Curien and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Computers categories.
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 And Combinators
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Author : J. Roger Hindley
language : en
Publisher:
Release Date : 2008
Lambda Calculus And Combinators written by J. Roger Hindley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Combinatory logic categories.
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.
Introduction To Combinators And Lambda Calculus
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Author : J. Roger Hindley
language : en
Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press
Release Date : 1986
Introduction To Combinators And Lambda Calculus written by J. Roger Hindley and has been published by Cambridge [Cambridgeshire] ; New York : Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
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.
Combinators And Functional Programming Languages
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Author : Guy Cousineau
language : en
Publisher: Springer
Release Date : 1986
Combinators And Functional Programming Languages written by Guy Cousineau and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Computers categories.
Basic Simple Type Theory
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Author : J. Roger Hindley
language : en
Publisher: Cambridge University Press
Release Date : 1997
Basic Simple Type Theory written by J. Roger Hindley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
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.
Logic For Applications
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Author : Anil Nerode
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Logic For Applications written by Anil Nerode and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical logic. We indicate how it can easily be adapted to various other special types of modal logics. A number of more advanced topics (includ ing nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.
Intelligent Computing
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Author : Kohei Arai
language : en
Publisher: Springer Nature
Release Date : 2021-07-05
Intelligent Computing written by Kohei Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-05 with Technology & Engineering categories.
This book is a comprehensive collection of chapters focusing on the core areas of computing and their further applications in the real world. Each chapter is a paper presented at the Computing Conference 2021 held on 15-16 July 2021. Computing 2021 attracted a total of 638 submissions which underwent a double-blind peer review process. Of those 638 submissions, 235 submissions have been selected to be included in this book. The goal of this conference is to give a platform to researchers with fundamental contributions and to be a premier venue for academic and industry practitioners to share new ideas and development experiences. We hope that readers find this volume interesting and valuable as it provides the state-of-the-art intelligent methods and techniques for solving real-world problems. We also expect that the conference and its publications is a trigger for further related research and technology improvements in this important subject.
Term Rewriting And Applications
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Author : Franz Baader
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-21
Term Rewriting And Applications written by Franz Baader and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-21 with Computers categories.
The 18th International Conference on Rewriting Techniques and Applications, held in Paris, France in June 2007, featured presentations and discussions centering on some of the latest advances in the field. This volume presents the proceedings from that meeting. Papers cover current research on all aspects of rewriting, including applications, foundational issues, frameworks, implementations, and semantics.