The Mathematical Foundations Of Programming Semantics

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Mathematical Foundations of Programming Semantics

Author : Stephen Brookes
Publisher : Springer Science & Business Media
ISBN 13 : 9783540580270
Total Pages : 664 pages
Book Rating : 4.5/5 (82 download)

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Book Synopsis Mathematical Foundations of Programming Semantics by : Stephen Brookes

Download or read book Mathematical Foundations of Programming Semantics written by Stephen Brookes and published by Springer Science & Business Media. This book was released on 1994-05-20 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the Ninth International Conference on the Mathematical Foundations of Programming Semantics, held in New Orleans in April 1993. The focus of the conference series is the semantics of programming languages and the mathematics which supports the study of the semantics. The semantics is basically denotation. The mathematics may be classified as category theory, lattice theory, or logic. Recent conferences and workshops have increasingly emphasized applications of the semantics and mathematics. The study of the semantics develops with the mathematics and the mathematics is inspired by the applications in semantics. The volume presents current research in denotational semantics and applications of category theory, logic, and lattice theory to semantics.

Semantics of Programming Languages

Author : Carl A. Gunter
Publisher : MIT Press
ISBN 13 : 9780262570954
Total Pages : 450 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis Semantics of Programming Languages by : Carl A. Gunter

Download or read book Semantics of Programming Languages written by Carl A. Gunter and published by MIT Press. This book was released on 1992 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semantics of Programming Languages exposes the basic motivations and philosophy underlying the applications of semantic techniques in computer science. It introduces the mathematical theory of programming languages with an emphasis on higher-order functions and type systems. Designed as a text for upper-level and graduate-level students, the mathematically sophisticated approach will also prove useful to professionals who want an easily referenced description of fundamental results and calculi. Basic connections between computational behavior, denotational semantics, and the equational logic of functional programs are thoroughly and rigorously developed. Topics covered include models of types, operational semantics, category theory, domain theory, fixed point (denotational). semantics, full abstraction and other semantic correspondence criteria, types and evaluation, type checking and inference, parametric polymorphism, and subtyping. All topics are treated clearly and in depth, with complete proofs for the major results and numerous exercises.

The Formal Semantics of Programming Languages

Author : Glynn Winskel
Publisher : MIT Press
ISBN 13 : 9780262731034
Total Pages : 388 pages
Book Rating : 4.7/5 (31 download)

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Book Synopsis The Formal Semantics of Programming Languages by : Glynn Winskel

Download or read book The Formal Semantics of Programming Languages written by Glynn Winskel and published by MIT Press. This book was released on 1993-02-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Formal Semantics of Programming Languages provides the basic mathematical techniques necessary for those who are beginning a study of the semantics and logics of programming languages. These techniques will allow students to invent, formalize, and justify rules with which to reason about a variety of programming languages. Although the treatment is elementary, several of the topics covered are drawn from recent research, including the vital area of concurency. The book contains many exercises ranging from simple to miniprojects.Starting with basic set theory, structural operational semantics is introduced as a way to define the meaning of programming languages along with associated proof techniques. Denotational and axiomatic semantics are illustrated on a simple language of while-programs, and fall proofs are given of the equivalence of the operational and denotational semantics and soundness and relative completeness of the axiomatic semantics. A proof of Godel's incompleteness theorem, which emphasizes the impossibility of achieving a fully complete axiomatic semantics, is included. It is supported by an appendix providing an introduction to the theory of computability based on while-programs. Following a presentation of domain theory, the semantics and methods of proof for several functional languages are treated. The simplest language is that of recursion equations with both call-by-value and call-by-name evaluation. This work is extended to lan guages with higher and recursive types, including a treatment of the eager and lazy lambda-calculi. Throughout, the relationship between denotational and operational semantics is stressed, and the proofs of the correspondence between the operation and denotational semantics are provided. The treatment of recursive types - one of the more advanced parts of the book - relies on the use of information systems to represent domains. The book concludes with a chapter on parallel programming languages, accompanied by a discussion of methods for specifying and verifying nondeterministic and parallel programs.

Mathematical Aspects of Logic Programming Semantics

Author : Pascal Hitzler
Publisher : CRC Press
ISBN 13 : 1000218724
Total Pages : 307 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Mathematical Aspects of Logic Programming Semantics by : Pascal Hitzler

Download or read book Mathematical Aspects of Logic Programming Semantics written by Pascal Hitzler and published by CRC Press. This book was released on 2016-04-19 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.

Foundations for Programming Languages

Author : John C. Mitchell
Publisher : Mit Press
ISBN 13 : 9780262133210
Total Pages : 846 pages
Book Rating : 4.1/5 (332 download)

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Book Synopsis Foundations for Programming Languages by : John C. Mitchell

Download or read book Foundations for Programming Languages written by John C. Mitchell and published by Mit Press. This book was released on 1996 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Programming languages embody the pragmatics of designing software systems, and also the mathematical concepts which underlie them. Anyone who wants to know how, for example, object-oriented programming rests upon a firm foundation in logic should read this book. It guides one surefootedly through the rich variety of basic programming concepts developed over the past forty years." -- Robin Milner, Professor of Computer Science, The Computer Laboratory, Cambridge University "Programming languages need not be designed in an intellectual vacuum; John Mitchell's book provides an extensive analysis of the fundamental notions underlying programming constructs. A basic grasp of this material is essential for the understanding, comparative analysis, and design of programming languages." -- Luca Cardelli, Digital Equipment Corporation Written for advanced undergraduate and beginning graduate students, "Foundations for Programming Languages" uses a series of typed lambda calculi to study the axiomatic, operational, and denotational semantics of sequential programming languages. Later chapters are devoted to progressively more sophisticated type systems.

Mathematical Foundations of Programming Language Semantics

Author : Michael Main
Publisher : Springer Science & Business Media
ISBN 13 : 9783540190202
Total Pages : 652 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis Mathematical Foundations of Programming Language Semantics by : Michael Main

Download or read book Mathematical Foundations of Programming Language Semantics written by Michael Main and published by Springer Science & Business Media. This book was released on 1988-03-09 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 3rd Workshop on the Mathematical Foundations of Programming Language Semantics held at Tulane University, New Orleans, Louisiana, April 8-10, 1987. The 1st Workshop was at Kansas State University, Manhattan, Kansas in April, 1985 (see LNCS 239), and the 2nd Workshop with a limited number of participants was at Kansas State in April, 1986. It was the intention of the organizers that the 3rd Workshop survey as many areas of the Mathematical Foundations of Programming Language Semantics as reasonably possible. The Workshop attracted 49 submitted papers, from which 28 papers were chosen for presentation. The papers ranged in subject from category theory and Lambda-calculus to the structure theory of domains and power domains, to implementation issues surrounding semantics.

Mathematical Foundations of Programming Semantics

Author : Stephen D. Brookes
Publisher : Springer
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Foundations of Programming Semantics by : Stephen D. Brookes

Download or read book Mathematical Foundations of Programming Semantics written by Stephen D. Brookes and published by Springer. This book was released on 1992 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume contains the proceedings of the Seventh International Conferenceon the Mathematical Foundations of Programming Semantics, held at Carnegie Mellon University, March 1991. The conference continued a series of annual meetings, alternating between workshop and conference formats, intended to bring together computer scientists and mathematicians for discussion of research problems, results and directions in programming language semantics and related areas. A major goalof the series is to improve communication and interaction between researchers in these areas and to establish ties between related areas of research. The volume contains revised and refereed versions of each of the contributed papers and refereed papers by three invited speakers:Jon Barwise, John Reynolds, and Mitchell Wand."--PUBLISHER'S WEBSITE.

Mathematical Foundations of Computer Science

Author : Peter A. Fejer
Publisher : Springer Science & Business Media
ISBN 13 : 1461230861
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Foundations of Computer Science by : Peter A. Fejer

Download or read book Mathematical Foundations of Computer Science written by Peter A. Fejer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a set-theoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upper-undergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary reading material in computer science courses, particularly those courses which involve the semantics of programming languages, formal languages and automata, and logic programming.

Foundations of Object-oriented Languages

Author : Kim B. Bruce
Publisher : MIT Press
ISBN 13 : 9780262025232
Total Pages : 416 pages
Book Rating : 4.0/5 (252 download)

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Book Synopsis Foundations of Object-oriented Languages by : Kim B. Bruce

Download or read book Foundations of Object-oriented Languages written by Kim B. Bruce and published by MIT Press. This book was released on 2002 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of the formal underpinnings of object-oriented programming languages.

Mathematical Foundation of Programming Semantics

Author : Austin Melton
Publisher : Springer Science & Business Media
ISBN 13 : 9783540168164
Total Pages : 408 pages
Book Rating : 4.1/5 (681 download)

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Book Synopsis Mathematical Foundation of Programming Semantics by : Austin Melton

Download or read book Mathematical Foundation of Programming Semantics written by Austin Melton and published by Springer Science & Business Media. This book was released on 1986-10 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Röntgenbefund und die sich in ihm widerspiegelnde pathologische Anatomie sind neben dem klinischen Bild die wichtigsten Säulen, auf denen die Diagnostik von Knochengeschwülsten und geschwulstähnlichen Läsionen beruht. Radiologen und Pathologen stellen in diesem Buch Klinik, Radiologie und Histolgie der verschiedenen Knochenläsionen am Gliedmaßen- und Achsenskelett umfassend und synoptisch dar. Das umfangreiche Material resultiert aus einer fünfzehnjährigen interdisziplinären Zusammenarbeit. In einem einleitenden Kapitel werden die verschiedenen radiologischen (konventionelles Röntgenbild, CT, Kernspintomographie, Angiographie, transkutane Biopsie) und histologischen Untersuchungstechniken und ihre Wertigkeit beschrieben. Der radiologischen Befundungsmethodik von Knochengeschwülsten u.a. mit Hilfe der Lodwick-Graduierung und einem neueren Staging-System für Knochengeschwülste werden eigene Kapitel gewidmet. Im speziellen Teil des Buches erfolgt die Darstellung der einzelnen benignen und malignen Knochengeschwülste in einer systematischen Untergliederung in ihre Häufigkeit, Lokalisation, Alters- und Geschlechtsprädilektion, Klinik und Prognose, Histologie, Radiologie und Differentialdiagnose. Besonders die unter den Knochengeschwülsten und tumorähnlichen Läsionen häufig vorkommenenden Entitäten sind mit einem umfassenden Bildmaterial ausgestattet, um dem breiten Spektrum ihrer Morphologie gerecht zu werden. Durch das Verständnis klinischer, radiologischer und pathologisch-anatomischer Befunde werden Diagnostik und Therapie der Skelettläsionen sehr erleichtert. Die synoptische Art der Darstellung macht dieses Buch für alle Disziplinen, die sich mit Knochentumoren befassen, zu einem idealen Nachschlagewerk.

Practical Foundations for Programming Languages

Author : Robert Harper
Publisher : Cambridge University Press
ISBN 13 : 1107150302
Total Pages : 513 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Practical Foundations for Programming Languages by : Robert Harper

Download or read book Practical Foundations for Programming Languages written by Robert Harper and published by Cambridge University Press. This book was released on 2016-04-04 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book unifies a broad range of programming language concepts under the framework of type systems and structural operational semantics.

A Practical Introduction to Denotational Semantics

Author : Lloyd Allison
Publisher : Cambridge University Press
ISBN 13 : 9780521314237
Total Pages : 150 pages
Book Rating : 4.3/5 (142 download)

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Book Synopsis A Practical Introduction to Denotational Semantics by : Lloyd Allison

Download or read book A Practical Introduction to Denotational Semantics written by Lloyd Allison and published by Cambridge University Press. This book was released on 1986 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basics - Notation - Lattices - A simple language - Direct semantics - Control - Data structures and data types - A prolog semantics - Miscellaneous.

Foundations of Probabilistic Programming

Author : Gilles Barthe
Publisher : Cambridge University Press
ISBN 13 : 110848851X
Total Pages : 583 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Foundations of Probabilistic Programming by : Gilles Barthe

Download or read book Foundations of Probabilistic Programming written by Gilles Barthe and published by Cambridge University Press. This book was released on 2020-12-03 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the theoretical underpinnings of modern probabilistic programming and presents applications in e.g., machine learning, security, and approximate computing. Comprehensive survey chapters make the material accessible to graduate students and non-experts. This title is also available as Open Access on Cambridge Core.

Programming Languages and Operational Semantics

Author : Maribel Fernández
Publisher : Springer
ISBN 13 : 1447163680
Total Pages : 211 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Programming Languages and Operational Semantics by : Maribel Fernández

Download or read book Programming Languages and Operational Semantics written by Maribel Fernández and published by Springer. This book was released on 2014-07-08 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the essential concepts in programming languages, using operational semantics techniques. It presents alternative programming language paradigms and gives an in-depth analysis of the most significant constructs in modern imperative, functional and logic programming languages. The book is designed to accompany lectures on programming language design for undergraduate students. Each chapter includes exercises which provide the opportunity to apply the concepts and techniques presented.

Mathematical Foundations for Computing

Author : G. P. McKeown
Publisher : Palgrave
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Foundations for Computing by : G. P. McKeown

Download or read book Mathematical Foundations for Computing written by G. P. McKeown and published by Palgrave. This book was released on 1995 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text gives a description of the fundamental mathematical concepts used by computer scientists, while also emphasizing the need for careful justification. It provides proofs of all the major results, and all the algorithms presented are developed carefully and their performance analyzed. Throughout, the aim is to provide a well-balanced treatment of both the discrete and continuous mathematics that should be studied by the serious student of computer science. The book should therefore be most suited to those undergraduate programmes that put the emphasis on such areas as programming language semantics, program correctness, and algorithm analysis and design.

Control Flow Semantics

Author : Jacobus Willem Bakker
Publisher : MIT Press (MA)
ISBN 13 : 9780262041546
Total Pages : 564 pages
Book Rating : 4.0/5 (415 download)

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Book Synopsis Control Flow Semantics by : Jacobus Willem Bakker

Download or read book Control Flow Semantics written by Jacobus Willem Bakker and published by MIT Press (MA). This book was released on 1996-01 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Flow Semantics presents a unified, formal treatment of the semantics of a wide spectrum of control flow notions as found in sequential, concurrent, logic, object-oriented, and functional programming languages. Whereas in more traditional approaches one focuses on input/output behavior, in this work equal attention is devoted to finite and infinite computations, the latter motivated by the growing importance of reactive systems. Knowledge of the comparative semantics of control structures is critical for the designers of programming languages, and it is difficult to choose from today's bewildering variety of control flow concepts (the ways in which a program specifies the successive steps to be taken during execution). Encyclopedic in scope, Control Flow Semantics provides comprehensive coverage of these concepts, developing operational and denotational models for control flow in 27 languages. In all cases, precise statements are given relating these models. A rich body of semantic definitional techniques is presented, including (labeled) transition systems, higher-order definitions, resumptions and continuations, linear or sequence-based models, and models specified by domain equations. Moreover, both symbol-based or schematic languages—prevalent in the study of concurrency—and state-based or interpreted languages are considered. The book is founded on a unifying mathematical basis of metric structures, allowing the full modeling of infinite behavior, as well as the exploitation of some classical results, such as Banach's fixed point theorem. Perspectives on further topics, such as full abstractness, noninterleaving semantics for parallelism, and second-order programming are also included. Foundations of Computing series

The Lambda Calculus

Author : H.P. Barendregt
Publisher : North Holland
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Lambda Calculus by : H.P. Barendregt

Download or read book The Lambda Calculus written by H.P. Barendregt and published by North Holland. This book was released on 1984 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.