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The Lambda Calculus

The Lambda Calculus
Author: H.P. Barendregt
Publisher: North Holland
Total Pages: 648
Release: 1984
Genre: Mathematics
ISBN:

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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.


Lambda Calculus with Types

Lambda Calculus with Types
Author: Henk Barendregt
Publisher: Cambridge University Press
Total Pages: 969
Release: 2013-06-20
Genre: Mathematics
ISBN: 1107276349

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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.


An Introduction to Functional Programming Through Lambda Calculus

An Introduction to Functional Programming Through Lambda Calculus
Author: Greg Michaelson
Publisher: Courier Corporation
Total Pages: 336
Release: 2013-04-10
Genre: Mathematics
ISBN: 0486280292

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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.


Lambda-Calculus and Combinators

Lambda-Calculus and Combinators
Author: J. Roger Hindley
Publisher:
Total Pages: 359
Release: 2008
Genre: Combinatory logic
ISBN: 9780511414909

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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.


The Parametric Lambda Calculus

The Parametric Lambda Calculus
Author: Simona Ronchi Della Rocca
Publisher: Springer Science & Business Media
Total Pages: 254
Release: 2013-03-09
Genre: Mathematics
ISBN: 366210394X

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The book contains a completely new presentation of classical results in the field of Lambda Calculus, together with new results. The text is unique in that it presents a new calculus (Parametric Lambda Calculus) which can be instantiated to obtain already known lambda-calculi. Some properties, which in the literature have been proved separately for different calculi, can be proved once for the Parametric one. The lambda calculi are presented from a Computer Science point of view, with a particular emphasis on their semantics, both operational and denotational.


Abstract Computing Machines

Abstract Computing Machines
Author: Werner Kluge
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 2005-02-18
Genre: Computers
ISBN: 3540211462

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The book emphasizes the design of full-fledged, fully normalizing lambda calculus machinery, as opposed to the just weakly normalizing machines.


Lambda-calculus, Combinators and Functional Programming

Lambda-calculus, Combinators and Functional Programming
Author: G. E. Revesz
Publisher: Cambridge University Press
Total Pages: 0
Release: 2009-06-25
Genre: Computers
ISBN: 9780521114295

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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.


From Lambda Calculus to Cybersecurity Through Program Analysis

From Lambda Calculus to Cybersecurity Through Program Analysis
Author: Alessandra Di Pierro
Publisher: Springer Nature
Total Pages: 300
Release: 2020-02-14
Genre: Mathematics
ISBN: 3030411036

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This Festschrift is in honor of Chris Hankin, Professor at the Imperial College in London, UK, on the Occasion of His 65th Birthday. Chris Hankin is a Fellow of the Institute for Security Science and Technology and a Professor of Computing Science. His research is in cyber security, data analytics and semantics-based program analysis. He leads multidisciplinary projects focused on developing advanced visual analytics and providing better decision support to defend against cyber attacks. This Festschrift is a collection of scientific contributions related to the topics that have marked the research career of Professor Chris Hankin. The contributions have been written to honour Chris' career and on the occasion of his retirement.


Domains and Lambda-Calculi

Domains and Lambda-Calculi
Author: Roberto M. Amadio
Publisher: Cambridge University Press
Total Pages: 504
Release: 1998-07-02
Genre: Computers
ISBN: 0521622778

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Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.


Practical Foundations for Programming Languages

Practical Foundations for Programming Languages
Author: Robert Harper
Publisher: Cambridge University Press
Total Pages: 513
Release: 2016-04-04
Genre: Computers
ISBN: 1107150302

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This book unifies a broad range of programming language concepts under the framework of type systems and structural operational semantics.