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.
An Introduction To Functional Programming Through Lambda Calculus
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Author : Greg Michaelson
language : en
Publisher: Courier Corporation
Release Date : 2013-04-10
An Introduction To Functional Programming Through Lambda Calculus written by Greg Michaelson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.
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
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Author : Henk Barendregt
language : en
Publisher: Cambridge University Press
Release Date : 2013-06-20
Lambda Calculus With Types written by Henk Barendregt 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 2013-06-20 with Mathematics categories.
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
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Author : Raymond M. Smullyan
language : en
Publisher: Oxford University Press, USA
Release Date : 2000
To Mock A Mockingbird written by Raymond M. Smullyan and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Games & Activities categories.
In this entertaining and challenging collection of logic puzzles, Raymond Smullyan -- author of Forever Undecided -- 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. In the first part of the book, he transports us once again to that wonderful realm where knights, knaves, twin sisters, quadruplet brothers, gods, demons, and mortals either always tell the truth or always lie, and where truth-seekers are set a variety of fascinating problems. The section culminates in an enchanting and profound metapuzzle in which Inspector Craig of Scotland Yard gets involved in a search for the Fountain of Youth on the Island of Knights and Knaves. In the second part of To Mock a Mockingbird, we accompany the Inspector on a summer-long adventure into the field of combinatory logic (a branch of logic that plays an important role in computer science and artificial intelligence). His adventure, which includes enchanted forests, talking birds, bird sociologists, and a classic quest, provides for us along the way the pleasure of solving puzzles of increasing complexity until we reach the Master Forest and -- thanks to Godel's famous theorem -- the final revelation.
Computational Semantics With Functional Programming
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Author : Jan van Eijck
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-23
Computational Semantics With Functional Programming written by Jan van Eijck 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 2010-09-23 with Language Arts & Disciplines categories.
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.
The Implementation Of Functional Programming Languages
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Author : Simon L. Peyton Jones
language : en
Publisher: Prentice Hall
Release Date : 1987
The Implementation Of Functional Programming Languages written by Simon L. Peyton Jones and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Functional programming languages categories.
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.
Functional Programming Languages And Computer Architecture
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Author : John Hughes
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-08-07
Functional Programming Languages And Computer Architecture written by John Hughes 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 1991-08-07 with Computers categories.
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.
Lecture Notes On The Lambda Calculus
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Author : Peter Selinger
language : en
Publisher:
Release Date : 2018-10-04
Lecture Notes On The Lambda Calculus written by Peter Selinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-04 with Science categories.
This is a set of lecture notes that developed out of courses on the lambda calculus that the author taught at the University of Ottawa in 2001 and at Dalhousie University in 2007 and 2013. Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, polymorphism, type inference, denotational semantics, complete partial orders, and the language PCF.
Head Order Techniques And Other Pragmatics Of Lambda Calculus Graph Reduction
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Author : Nikos B. Troullinos
language : en
Publisher: Universal-Publishers
Release Date : 2011-10
Head Order Techniques And Other Pragmatics Of Lambda Calculus Graph Reduction written by Nikos B. Troullinos and has been published by Universal-Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10 with Computers categories.
Available in Paperback Available in eBook editions (PDF format) Institution: Syracuse University (Syracuse, NY, USA) Advisor(s): Prof. Klaus J. Berkling Degree: Ph.D. in Computer and Information Science Year: 1993 Book Information: 248 pages Publisher: Dissertation.com ISBN-10: 1612337570 ISBN-13: 9781612337579 View First 25 pages: (free download) Abstract The operational aspects of Lambda Calculus are studied as a fundamental basis for high-order functional computation. We consider systems having full reduction semantics, i.e., equivalence-preserving transformations of functions. The historic lineage from Eval-Apply to SECD to RTNF/RTLF culminates in the techniques of normal-order graph Head Order Reduction (HOR). By using a scalar mechanism to artificially bind relatively free variables, HOR makes it relatively effortless to reduce expressions beyond weak normal form and to allow expression-level results while exhibiting a well-behaved linear self-modifying code structure. Several variations of HOR are presented and compared to other efficient reducers, with and without sharing, including a conservative breadth-first one which mechanically takes advantage of the inherent, fine-grained parallelism of the head normal form. We include abstract machine and concrete implementations of all the reducers in pure functional code. Benchmarking comparisons are made through a combined time-space efficiency metric. The original results indicate that circa 2010 reduction rates of 10-100 million reductions per second can be achieved in software interpreters and a billion reductions per second can be achieved by a state-of-the art custom VLSI implementation.