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Lambda-Calculus and Combinators

An Introduction

Author: J. Roger Hindley

Publisher: Cambridge University Press

ISBN:

Category: Computers

Page:

View: 260

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 covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.

Lambda-calculus, Combinators and Functional Programming

Author: G. E. Revesz

Publisher: Cambridge University Press

ISBN:

Category: Computers

Page: 192

View: 572

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.

Introduction to Combinators and (lambda) Calculus

Author: J. R. Hindley

Publisher: CUP Archive

ISBN:

Category: Mathematics

Page: 360

View: 628

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.

An Introduction to Functional Programming Through Lambda Calculus

Author: Greg Michaelson

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 336

View: 610

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

Author: Henk Barendregt

Publisher: Cambridge University Press

ISBN:

Category: Mathematics

Page: 833

View: 490

This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.

Metamathematics, Machines and Gödel's Proof

Author: N. Shankar

Publisher: Cambridge University Press

ISBN:

Category: Computers

Page: 202

View: 484

Describes the use of computer programs to check several proofs in the foundations of mathematics.

Introduction to Combinators and the Lambda-Calculus

Author: J. Roger Hindley

Publisher:

ISBN:

Category: Algorithms

Page: 360

View: 280

An Architecture for Combinator Graph Reduction

Author: Philip John Koopman

Publisher: Elsevier

ISBN:

Category: Computers

Page: 172

View: 215

An Architecture for Combinator Graph Reduction examines existing methods of evaluating lazy functional programs using combinator reduction techniques, implementation, and characterization of a means for accomplishing graph reduction on uniprocessors, and analysis of the potential for special-purpose hardware implementations. Comprised of eight chapters, the book begins by providing a background on functional programming languages and existing implementation technology. Subsequent chapters discuss the TIGRE (Threaded Interpretive Graph Reduction Engine) methodology for implementing combinator graph reduction; the TIGRE abstract machine, which is used to implement the graph reduction methodology; the results of performance measurements of TIGRE on a variety of platforms; architectural metrics for TIGRE executing on the MIPS R2000 processor; and the potential for special-purpose hardware to yield further speed improvements. The final chapter summarizes the results of the research, and suggests areas for further investigation. Computer engineers, programmers, and computer scientists will find the book interesting.

Type Theory and Formal Proof

An Introduction

Author: Rob Nederpelt

Publisher: Cambridge University Press

ISBN:

Category: Computers

Page: 490

View: 402

A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.

Typed Lambda Calculi and Applications

5th International Conference, TLCA 2001 Krakow, Poland, May 2-5, 2001 Proceedings

Author: Samson Abramsky

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 436

View: 973

This book constitutes the refereed proceedings of the 5th International Conference on Typed Lambda Calculi and Applications, TLCA 2001, held in Krakow, Poland in May 2001. The 28 revised full papers presented were carefully reviewed and selected from 55 submissions. The volume reports research results on all current aspects of typed lambda calculi. Among the topics addressed are type systems, subtypes, coalgebraic methods, pi-calculus, recursive games, various types of lambda calculi, reductions, substitutions, normalization, linear logic, cut-elimination, prelogical relations, and mu calculus.