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An Introduction to Functional Programming Through Lambda Calculus

An Introduction to Functional Programming Through Lambda Calculus Author Greg Michaelson
ISBN-10 9780486280295
Release 2013-04-10
Pages 336
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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.



An Introduction to Functional Programming Through Lambda Calculus

An Introduction to Functional Programming Through Lambda Calculus Author Greg Michaelson
ISBN-10 9780486478838
Release 2011
Pages 320
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This well-respected text offers an accessible introduction to functional programming concepts and techniques for students of mathematics and computer science. The treatment is as nontechnical as possible, assuming no prior knowledge of mathematics or functional programming. Numerous exercises appear throughout the text, and all problems feature complete solutions. 1989 edition.



An introduction to functional programming through Lambda calculus

An introduction to functional programming through Lambda calculus Author Greg Michaelson
ISBN-10 STANFORD:36105032466976
Release 1989
Pages 320
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An introduction to functional programming through Lambda calculus has been writing in one form or another for most of life. You can find so many inspiration from An introduction to functional programming through Lambda calculus also informative, and entertaining. Click DOWNLOAD or Read Online button to get full An introduction to functional programming through Lambda calculus book for free.



Lambda Calculus with Types

Lambda Calculus with Types Author Henk Barendregt
ISBN-10 9781107276345
Release 2013-06-20
Pages
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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 Combinators and Functional Programming

Lambda calculus  Combinators and Functional Programming Author G. E. Revesz
ISBN-10 0521114292
Release 2009-06-25
Pages 192
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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.



Pattern Calculus

Pattern Calculus Author Barry Jay
ISBN-10 9783540891857
Release 2009-07-30
Pages 213
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Over time, basic research tends to lead to specialization – increasingly narrow t- ics are addressed by increasingly focussed communities, publishing in increasingly con ned workshops and conferences, discussing increasingly incremental contri- tions. Already the community of programming languages is split into various s- communities addressing different aspects and paradigms (functional, imperative, relational, and object-oriented). Only a few people manage to maintain a broader view, and even fewer step back in order to gain an understanding about the basic principles, their interrelation, and their impact in a larger context. The pattern calculus is the result of a profound re-examination of a 50-year - velopment. It attempts to provide a unifying approach, bridging the gaps between different programming styles and paradigms according to a new slogan – compu- tion is pattern matching. It is the contribution of this book to systematically and elegantly present and evaluate the power of pattern matching as the guiding paradigm of programming. Patterns are dynamically generated, discovered, passed, applied, and automatically adapted, based on pattern matching and rewriting technology, which allows one to elegantly relate things as disparate as functions and data structures. Of course, pattern matching is not new. It underlies term rewriting – it is, for example, inc- porated in, typically functional, programming languages, like Standard ML – but it has never been pursued as the basis of a unifying framework for programming.



Functional Programming

Functional Programming Author Bruce J. MacLennan
ISBN-10 0201137445
Release 1990-01
Pages 596
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This book is more than an introduction to programming in functional languages; it introduces functional programming as a new programming paradigm. Its focus is on functional programming methodology--what it is, and how it can be used to good effect. In particular, the book shows how this methodology can be used effectively in deriving, analyzing, and proving the correctness of programs. In as much as this book emphasizes general methodology over any particular language, the author has chosen standard mathematical notation for his examples.



Purely Functional Data Structures

Purely Functional Data Structures Author Chris Okasaki
ISBN-10 0521663504
Release 1999-06-13
Pages 220
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This book describes data structures and data structure design techniques for functional languages.



The Lambda Calculus

The Lambda Calculus Author H.P. Barendregt
ISBN-10 0080933750
Release 2013-07-10
Pages 654
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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.



Introduction to Combinators and lambda Calculus

Introduction to Combinators and  lambda  Calculus Author J. R. Hindley
ISBN-10 0521268966
Release 1986-05-29
Pages 360
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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.



Practical Foundations for Programming Languages

Practical Foundations for Programming Languages Author Robert Harper
ISBN-10 9781107150300
Release 2016-04-04
Pages 512
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This book unifies a broad range of programming language concepts under the framework of type systems and structural operational semantics.



The Haskell Road to Logic Maths and Programming

The Haskell Road to Logic  Maths and Programming Author Kees Doets
ISBN-10 UCSD:31822030585525
Release 2004-01
Pages 426
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Long ago, when Alexander the Great asked the mathematician Menaechmus for a crash course in geometry, he got the famous reply There is no royal road to mathematics. Where there was no shortcut for Alexander, there is no shortcut for us. Still, the fact that we have access to computers and mature programming languages means that there are avenues for us that were denied to the kings and emperors of yore. The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming in Haskell. Haskell emerged in the 1990s as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvelous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures. This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book, the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others. This is the updated, expanded, and corrected second edition of a much-acclaimed textbook. Praise for the first edition: Doets and van Eijck s The Haskell Road to Logic, Maths and Programming is an astonishingly extensive and accessible textbook on logic, maths, and Haskell. Ralf Laemmel, Professor of Computer Science, University of Koblenz-Landau



Pearls of Functional Algorithm Design

Pearls of Functional Algorithm Design Author Richard Bird
ISBN-10 9781139490603
Release 2010-09-16
Pages
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Richard Bird takes a radical approach to algorithm design, namely, design by calculation. These 30 short chapters each deal with a particular programming problem drawn from sources as diverse as games and puzzles, intriguing combinatorial tasks, and more familiar areas such as data compression and string matching. Each pearl starts with the statement of the problem expressed using the functional programming language Haskell, a powerful yet succinct language for capturing algorithmic ideas clearly and simply. The novel aspect of the book is that each solution is calculated from an initial formulation of the problem in Haskell by appealing to the laws of functional programming. Pearls of Functional Algorithm Design will appeal to the aspiring functional programmer, students and teachers interested in the principles of algorithm design, and anyone seeking to master the techniques of reasoning about programs in an equational style.



Discrete Mathematics and Functional Programming

Discrete Mathematics and Functional Programming Author Thomas VanDrunen
ISBN-10 1590282604
Release 2013
Pages 670
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This book provides a distinct way to teach discrete mathematics. Since discrete mathematics is crucial for rigorous study in computer science, many texts include applications of mathematical topics to computer science or have selected topics of particular interest to computer science. This text fully integrates discrete mathematics with ......



Basic Category Theory for Computer Scientists

Basic Category Theory for Computer Scientists Author Benjamin C. Pierce
ISBN-10 0262660717
Release 1991
Pages 100
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Basic Category Theory for Computer Scientists provides a straightforward presentationof the basic constructions and terminology of category theory, including limits, functors, naturaltransformations, adjoints, and cartesian closed categories.



Type Theory and Formal Proof

Type Theory and Formal Proof Author Rob Nederpelt
ISBN-10 9781316061084
Release 2014-11-06
Pages
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Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate mathematics. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarise themselves with the material.



Introduction to mathematical logic

Introduction to mathematical logic Author Alonzo Church
ISBN-10 CHI:53888672
Release 1944
Pages
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Introduction to mathematical logic has been writing in one form or another for most of life. You can find so many inspiration from Introduction to mathematical logic also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Introduction to mathematical logic book for free.