Algebraic Approach To Program Semantics

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Algebraic Approaches To Program Semantics

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Author : Ernest G. Manes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Algebraic Approaches To Program Semantics written by Ernest G. Manes 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 2012-12-06 with Computers categories.

In the 1930s, mathematical logicians studied the notion of "effective comput ability" using such notions as recursive functions, A-calculus, and Turing machines. The 1940s saw the construction of the first electronic computers, and the next 20 years saw the evolution of higher-level programming languages in which programs could be written in a convenient fashion independent (thanks to compilers and interpreters) of the architecture of any specific machine. The development of such languages led in turn to the general analysis of questions of syntax, structuring strings of symbols which could count as legal programs, and semantics, determining the "meaning" of a program, for example, as the function it computes in transforming input data to output results. An important approach to semantics, pioneered by Floyd, Hoare, and Wirth, is called assertion semantics: given a specification of which assertions (preconditions) on input data should guarantee that the results satisfy desired assertions (postconditions) on output data, one seeks a logical proof that the program satisfies its specification. An alternative approach, pioneered by Scott and Strachey, is called denotational semantics: it offers algebraic techniques for characterizing the denotation of (i. e. , the function computed by) a program-the properties of the program can then be checked by direct comparison of the denotation with the specification. This book is an introduction to denotational semantics. More specifically, we introduce the reader to two approaches to denotational semantics: the order semantics of Scott and Strachey and our own partially additive semantics.

An Algebraic Approach To Compiler Design

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Author : Augusto Sampaio
language : en
Publisher: World Scientific
Release Date : 1997

An Algebraic Approach To Compiler Design written by Augusto Sampaio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.

This book investigates the design of compilers for procedural languages, based on the algebraic laws which these languages satisfy. The particular strategy adopted is to reduce an arbitrary source program to a general normal form, capable of representing an arbitrary target machine. This is achieved by a series of normal form reduction theorems which are proved algebraically from the more basic laws. The normal form and the related reduction theorems can then be instantiated to design compilers for distinct target machines. This constitutes the main novelty of the author's approach to compilation, together with the fact that the entire process is formalised within a single and uniform semantic framework of a procedural language and its algberaic laws. Furthermore, by mechanising the approach using the OBJ3 term rewriting system it is shown that a prototype compiler is developed as a byproduct of its own proof of correctness.

Algebraic Approach To Program Semantics

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Author : Ernest G. Manes
language : en
Publisher:
Release Date : 1986

Algebraic Approach To Program Semantics written by Ernest G. Manes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.

Mathematical Foundations Of Programming Semantics

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Author : Stephen Brookes
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-05-20

Mathematical Foundations Of Programming Semantics written by Stephen Brookes 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 1994-05-20 with Computers categories.

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.

Unconventional Programming Paradigms

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Author : Jean-Pierre Banâtre
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-15

Unconventional Programming Paradigms written by Jean-Pierre Banâtre 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 2005-07-15 with Computers categories.

Unconventional approaches to programming have long been developed, in various niches and out of curiosity, and they constitute a reservoir of alternative avenues to deal with unknown programming challenges. New paradigms of programming are currently experiencing a renewed period of interest and growth to cope with problems from specific application domains. This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Unconventional Programming Paradigms, UPP 2004, held at Le Mont Saint Michel, France, in September 2004. The 26 revised full papers presented together with an invited paper on quantum computing were carefully reviewed for presentation in the book. The papers are organized in topical sections on chemical computing, amorphous computing, bio-inspired computing, autonomic computing, and generative programming.

Don Pigozzi On Abstract Algebraic Logic Universal Algebra And Computer Science

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Author : Janusz Czelakowski
language : en
Publisher: Springer
Release Date : 2018-03-20

Don Pigozzi On Abstract Algebraic Logic Universal Algebra And Computer Science written by Janusz Czelakowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-20 with Philosophy categories.

This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.

Concrete Semantics

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Author : Tobias Nipkow
language : en
Publisher: Springer
Release Date : 2014-12-03

Concrete Semantics written by Tobias Nipkow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-03 with Computers categories.

Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.

Categories And Computer Science

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Author : R. F. C. Walters
language : en
Publisher: Cambridge University Press
Release Date : 1991

Categories And Computer Science written by R. F. C. Walters 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 1991 with Computers categories.

Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on a course given over the last few years at the University of Sydney. The theory is developed in a straightforward way, and is enriched with many examples from computer science. Thus this book meets the needs of undergradute computer scientists, and yet retains a level of mathematical correctness that will broaden its appeal to include students of mathematics new to category theory.

Coalgebraic Methods In Computer Science

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Author : Barbara König
language : en
Publisher: Springer Nature
Release Date : 2024-07-25

Coalgebraic Methods In Computer Science written by Barbara König and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-25 with Mathematics categories.

This book constitutes the post-conference proceedings of the 17th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2024, colocated with ETAPS 2024, held in Luxembourg in April 2024. The 10 papers included in these proceedings were carefully reviewed and selected from 15 submissions. The papers cover a wide range of topics on theory, logics, and applications of coalgebras.

Formal Description Of Programming Concepts

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Author : Erich Neuhold
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-10-04

Formal Description Of Programming Concepts written by Erich Neuhold 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 1991-10-04 with Computers categories.

In software engineering there is a growing need for formalization as a basis for developing powerful computer assisted methods. This volume contains seven extensive lectures prepared for a series of IFIP seminars on the Formal Description of Programming Concepts. The authors are experts in their fields and have contributed substantially to the state of the art in numerous publications. The lectures cover a wide range in the theoretical foundations of programming and give an up-to-date account of the semantic models and the related tools which have been developed in order to allow a rigorous discussion of the problems met in the construction of correct programs. In particular, methods for the specification and transformation of programs are considered in detail. One lecture is devoted to the formalization of concurrency and distributed systems and reflects their great importance in programming. Further topics are the verification of programs and the use of sophisticated type systems in programming. This compendium on the theoretical foundations of programming is also suitable as a textbook for special seminars on different aspects of this broad subject.