The Parametric Lambda Calculus

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The Parametric Lambda Calculus

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Author : Simona Ronchi Della Rocca
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-05

The Parametric Lambda Calculus written by Simona Ronchi Della Rocca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-05 with Mathematics categories.

The parametric lambda calculus is a metamodel for reasoning about various kinds of computations. Its syntactic definition is based on the notion of "sets of input values", and different lambda calculi can be obtained from it by instantiating such sets in suitable ways. The parametric lambda calculus is used as a tool for presenting in a uniform way basic notions of programming languages, and for studying with a uniform approach some lambda calculi modeling different kinds of computations, such as call-by-name, both in its lazy and non-lazy versions, and call-by-value. The parametric presentation allows us both to prove in one step all the fundamental properties of different calculi, and to compare them with each other. The book includes some classical results in the field of lambda calculi, but completely rephrased using the parametric approach, together with some new results. The lambda calculi are presented from a computer science viewpoint, with particular emphasis on their semantics, both operational and denotational. This book is dedicated to researchers, and can be used as a textbook for masters or Ph.D. courses on the foundations of computer science.

The Parametric Lambda Calculus

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Author : Simona Ronchi Della Rocca
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

The Parametric Lambda Calculus written by Simona Ronchi Della Rocca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

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.

An Introduction To Functional Programming Through Lambda Calculus

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Author : Greg Michaelson
language : en
Publisher: Courier Corporation
Release Date : 2013-04-10

An Introduction To Functional Programming Through Lambda Calculus written by Greg Michaelson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.

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

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Author : Henk Barendregt
language : en
Publisher: Cambridge University Press
Release Date : 2013-06-20

Lambda Calculus With Types written by Henk Barendregt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-20 with Mathematics categories.

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.

Foundations Of Software Science And Computation Structures

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Author : Stefan Kiefer
language : en
Publisher: Springer Nature
Release Date : 2021-03-22

Foundations Of Software Science And Computation Structures written by Stefan Kiefer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-22 with Mathematics categories.

This open access book constitutes the proceedings of the 24th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2021, which was held during March 27 until April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The 28 regular papers presented in this volume were carefully reviewed and selected from 88 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.

Algebraic Methods Ii Theory Tools And Applications

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Author : Jan A. Bergstra
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-04-10

Algebraic Methods Ii Theory Tools And Applications written by Jan A. Bergstra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-10 with Computers categories.

The proper treatment and choice of the basic data structures is an important and complex part in the process of program construction. Algebraic methods provide techniques for data abstraction and the structured specification, validation and analysis of data structures. This volume originates from a workshop organized within ESPRIT Project 432 METEOR, An Integrated Formal Approach to Industrial Software Development, held in Mierlo, The Netherlands, September 1989. The volume includes five invited contributions based on workshop talks given by A. Finkelstein, P. Klint, C.A. Middelburg, E.-R. Olderog, and H.A. Partsch. Ten further papers by members of the METEOR team are based on talks given at the workshop. The workshop was a successor to an earlier one held in Passau, Germany, June 1987, the proceedings of which were published as Lecture Notes in Computer Science, Vol. 394.

Practical Foundations For Programming Languages

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Author : Robert Harper
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-04

Practical Foundations For Programming Languages written by Robert Harper and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-04 with Computers categories.

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

An Introduction To The Calculus Of Variations

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Author : L.A. Pars
language : en
Publisher: Courier Corporation
Release Date : 2013-12-10

An Introduction To The Calculus Of Variations written by L.A. Pars and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-10 with Mathematics categories.

Clear, rigorous introductory treatment covers applications to geometry, dynamics, and physics. It focuses upon problems with one independent variable, connecting abstract theory with its use in concrete problems. 1962 edition.

Algebraic Methods Theory Tools And Applications

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Author : Martin Wirsing
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-09-20

Algebraic Methods Theory Tools And Applications written by Martin Wirsing and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-09-20 with Computers categories.

Sofsem 2008 Theory And Practice Of Computer Science

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Author : Viliam Geffert
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-11

Sofsem 2008 Theory And Practice Of Computer Science written by Viliam Geffert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Computers categories.

This volume contains the invited and the contributed papers selected for p- th sentation at SOFSEM 2008, the 34 Conference on Current Trends in Theory and Practice of Computer Science, which was held January 19-25, 2008, in the Atrium Hotel, Novy þ Smokovec, High Tatras in Slovakia. SOFSEM (originally SOFtware SEMinar), as an annual international c- ference devoted to the theory and practice of computer science, aims to foster cooperationamongprofessionalsfromacademiaandindustryworkinginallareas in this?eld. Developing over the years from a local event to a fully international and well-established conference, contemporary SOFSEM continues to maintain the best of its original Winter School aspects, such as a high number of invited talks and in-depth coverage of novel research results in selected areas within computer science. SOFSEM 2008 was organized around the following tracks: - Foundations of Computer Science (Chair: Juhani Karhum· aki) - Computing by Nature (Chair: Alberto Bertoni) - Networks, Security, and Cryptography (Chair: Bart Preneel) - Web Technologies (Chair: Pavol Nþ avrat) The SOFSEM 2008 Program Committee consisted of 75 international - perts, representing active areas of the SOFSEM 2008 tracks with outstanding expertise and an eye for current developments, evaluating the submissions with the help of 169 additional reviewers. An integral part of SOFSEM 2008 was the traditional Student Research - rum (chaired by Ma þria Bielikovþ a), organized with the aim of presenting student projectsinthetheoryandpracticeofcomputerscienceandtogivestudentsfe- back on both originality of their scienti?c results and on their work in progress.