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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.



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.



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.



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.



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



Basic Simple Type Theory

Basic Simple Type Theory Author J. Roger Hindley
ISBN-10 0521465184
Release 1997-07-31
Pages 186
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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.



Beginning Functional JavaScript

Beginning Functional JavaScript Author Anto Aravinth
ISBN-10 9781484226568
Release 2017-03-07
Pages 164
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Learn functional programming concepts using JavaScript ES6. You will learn concepts such as currying, partial functions, higher-order functions, and monads. Programming languages have evolved from focusing on procedures to objects and now on function. JavaScript supports functional programming and allows developers to write well-crafted code. What You Will Learn: Master functional programming concepts Identify how functions are treated in JavaScript Understand real-world functional libraries and create a functional library that mimics underscore.js Perform pure-error handling techniques such as functors and monads Discover ES6 functional features such as spread operators and generators Who This Book Is For: JavaScript developers (or beginners) who want to understand functional programming concepts and the functional nature of the language.



Functional Thinking

Functional Thinking Author Neal Ford
ISBN-10 9781449365493
Release 2014-06-30
Pages 180
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If you’re familiar with functional programming basics and want to gain a much deeper understanding, this in-depth guide takes you beyond syntax and demonstrates how you need to think in a new way. Software architect Neal Ford shows intermediate to advanced developers how functional coding allows you to step back a level of abstraction so you can see your programming problem with greater clarity. Each chapter shows you various examples of functional thinking, using numerous code examples from Java 8 and other JVM languages that include functional capabilities. This book may bend your mind, but you’ll come away with a much better grasp of functional programming concepts. Understand why many imperative languages are adding functional capabilities Compare functional and imperative solutions to common problems Examine ways to cede control of routine chores to the runtime Learn how memoization and laziness eliminate hand-crafted solutions Explore functional approaches to design patterns and code reuse View real-world examples of functional thinking with Java 8, and in functional architectures and web frameworks Learn the pros and cons of living in a paradigmatically richer world If you’re new to functional programming, check out Josh Backfield’s book Becoming Functional.



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 ......



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.



An Introduction to Mathematical Logic

An Introduction to Mathematical Logic Author Richard E. Hodel
ISBN-10 9780486497853
Release 2013
Pages 491
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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.



ML for the Working Programmer

ML for the Working Programmer Author Larry C. Paulson
ISBN-10 9781107268494
Release 1996-06-28
Pages
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The new edition of this successful and established textbook retains its two original intentions of explaining how to program in the ML language, and teaching the fundamentals of functional programming. The major change is the early and prominent coverage of modules, which are extensively used throughout. In addition, the first chapter has been totally rewritten to make the book more accessible to those without experience of programming languages. The main features of new Standard Library for the revised version of ML are described and many new examples are given, while references have also been updated. Dr Paulson has extensive practical experience of ML and has stressed its use as a tool for software engineering; the book contains many useful pieces of code, which are freely available (via the Internet) from the author. He shows how to use lists, trees, higher-order functions and infinite data structures. Many illustrative and practical examples are included.. Efficient functional implementations of arrays, queues, priority queues, etc. are described. Larger examples include a general top-down parser, a lambda-calculus reducer and a theorem prover. The combination of careful explanation and practical advice will ensure that this textbook continues to be the preferred text for many courses on ML.