AN INTRODUCTION TO FUNCTIONAL PROGRAMMING THROUGH LAMBDA CALCULUS DOVER BOOKS ON MATHEMATICS

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An Introduction To Functional Programming Through Lambda Calculus

Author : Greg Michaelson
ISBN : 9780486280295
Genre : Mathematics
File Size : 38.49 MB
Format : PDF
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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.
Category: Mathematics

An Introduction To Functional Programming Through Lambda Calculus

Author : Greg Michaelson
ISBN : 9780486478838
Genre : Mathematics
File Size : 30.45 MB
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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.
Category: Mathematics

Lambda Calculus With Types

Author : Henk Barendregt
ISBN : 9781107276345
Genre : Mathematics
File Size : 47.40 MB
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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.
Category: Mathematics

Lambda Calculus Combinators And Functional Programming

Author : G. E. Revesz
ISBN : 0521114292
Genre : Computers
File Size : 39.84 MB
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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.
Category: Computers

The Lambda Calculus

Author : H.P. Barendregt
ISBN : 0080933750
Genre : Mathematics
File Size : 28.64 MB
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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.
Category: Mathematics

Introduction To Functional Programming Systems Using Haskell

Author : Antony J. T. Davie
ISBN : 0521277248
Genre : Computers
File Size : 53.5 MB
Format : PDF
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Here is an introduction to functional programming and its associated systems. A unique feature is its use of the language Haskell for teaching both the rudiments and the finer points of the functional technique. Haskell is a new, internationally agreed and accepted functional language that is designed for teaching, research and applications, that has a complete formal description, that is freely available, and that is based on ideas that have a wide consensus. Thus it encapsulates some of the main thrusts of functional programming itself, which is a style of programming designed to confront the software crisis directly. Programs written in functional languages can be built up from smaller parts, and they can also be proved correct, important when software has to be reliable. Moreover, a certain amount of parallelism can be extracted from functional languages automatically. This book serves as an introduction both to functional programming and Haskell, and will be most useful to students, teachers and researchers in either of these areas. An especially valuable feature are the chapters on programming and implementation, along with a large number of exercises.
Category: Computers

Purely Functional Data Structures

Author : Chris Okasaki
ISBN : 0521663504
Genre : Computers
File Size : 54.15 MB
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This book describes data structures and data structure design techniques for functional languages.
Category: Computers

Functional Programming

Author : Bruce J. MacLennan
ISBN : 0201137445
Genre : Computers
File Size : 78.18 MB
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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.
Category: Computers

Introduction To Combinators And Lambda Calculus

Author : J. R. Hindley
ISBN : 0521268966
Genre : Mathematics
File Size : 83.79 MB
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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.
Category: Mathematics