Download or read book Algebraic Approaches to Program Semantics written by Ernest G. Manes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Algebraic Methods in Semantics written by M. Nivat and published by CUP Archive. This book was released on 1985 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which contains contributions from leading researchers in France, USA and Great Britain, gives detailed accounts of a variety of methods for describing the semantics of programming languages, i.e. for attaching to programs mathematical objects that encompass their meaning. Consideration is given to both denotational semantics, where the meaning of a program is regarded as a function from inputs to outputs, and operational semantics, where the meaning includes the sequence of states or terms generated internally during the computation. The major problems considered include equivalence relations between operational and denotational semantics, rules for obtaining optimal computations (especially for nondeterministic programs), equivalence of programs, meaning-preserving transformations of programs and program proving by assertions. Such problems are discussed for a variety of programming languages and formalisms, and a wealth of mathematical tools is described.
Download or read book Semantics and Algebraic Specification written by Jens Palsberg and published by Springer Science & Business Media. This book was released on 2009-08-28 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: proceedings of the symposium. Somecontributorswereunabletoattendthe event.
Download or read book Algebraic Semantics of Imperative Programs written by Joseph Goguen and published by . This book was released on 1996 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Algebraic Approach to Compiler Design written by Augusto Sampaio and published by World Scientific. This book was released on 1997-04-19 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contents:IntroductionBackgroundThe Reasoning LanguageA Simple CompilerProcedures, Recursion and ParametersMachine SupportConclusions Readership: Computer scientists. keywords:Compiler Design;Compiler Correctness;Compilation;Algebraic Laws;Algebraic Transformations;Algebraic Semantics;Refinement Algebra;Refinement Laws;Term Rewriting;OBJ3
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.
Download or read book Algebraic System Specification and Development written by Michel Bidoit and published by Springer Science & Business Media. This book was released on 1991-06-26 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods for the algebraic specification of abstract data types were proposed in the early 1970s in the USA and Canada and became a major research issue in Europe shortly afterwards. Since then the algebraic approach has come to play a central role in research on formal specification and development, as its range of applications was extended to the specification of complete software systems, to the formal description of the program development process, and to the uniform definition of syntax and semantics of programming languages. Today this approach extends beyond just software to the development of integrated hardware and software systems. These flourishing activities in the area of algebraic specifications have led to an abundance of approaches, theories and concepts, which have universal algebra, category theory and logic as a common mathematical basis. This volume is an annotated bibliography which provides an up-to-date overview of past and present work on algebraic specification. No attempt is made to provide a coherent introduction to the topic for beginners; the intention is rather to provide a guide to the current literature for researchers in algebraic specification and neighboring fields. Some indications of how the different approaches are related are included, together with some ideas concerning possible future directions.
Download or read book An Algebraic Approach to Compiler Design written by Augusto Sampaio and published by World Scientific. This book was released on 1997 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Algebraic Specification Techniques And Tools For Software Development The Act Approach written by Claben Ingo and published by World Scientific Publishing Company. This book was released on 1993-11-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this book is to show how algebraic specification methods can be used for software development to support reliability, modifiability and reusability. These methods are introduced by parameterized and module specifications through practical examples and case studies using algebraic specification languages and tools developed at TU Berlin.
Download or read book Predicate Calculus and Program Semantics written by Edsger W. Dijkstra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This booklet presents a reasonably self-contained theory of predicate trans former semantics. Predicate transformers were introduced by one of us (EWD) as a means for defining programming language semantics in a way that would directly support the systematic development of programs from their formal specifications. They met their original goal, but as time went on and program derivation became a more and more formal activity, their informal introduction and the fact that many of their properties had never been proved became more and more unsatisfactory. And so did the original exclusion of unbounded nondeterminacy. In 1982 we started to remedy these shortcomings. This little monograph is a result of that work. A possible -and even likely- criticism is that anyone sufficiently versed in lattice theory can easily derive all of our results himself. That criticism would be correct but somewhat beside the point. The first remark is that the average book on lattice theory is several times fatter (and probably less self contained) than this booklet. The second remark is that the predicate transformer semantics provided only one of the reasons for going through the pains of publication.
Download or read book Relational and Algebraic Methods in Computer Science written by Jules Desharnais and published by Springer. This book was released on 2018-10-22 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 17th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2018, held in Groningen, The Netherlands, in October/November 2018. The 21 full papers and 1 invited paper presented together with 2 invited abstracts and 1 abstract of a tutorial were carefully selected from 31 submissions. The papers are organized in the following topics: Theoretical foundations; reasoning about computations and programs; and applications and tools.
Download or read book Programming Languages and Systems written by Luís Caires and published by Springer. This book was released on 2019-04-05 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceedings of the 28th European Symposium on Programming, ESOP 2019, which took place in Prague, Czech Republic, in April 2019, held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2019.
Download or read book Static Analysis written by David Pichardie and published by Springer Nature. This book was released on 2021-01-12 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 27th International Symposium on Static Analysis, SAS 2020, held in Chicago, IL, USA, in November 2020. The 14 regular papers presented in this book together with 2 invited talks and 1 extended abstract, were carefully reviewed and selected from 34 submissions. The papers cover topics such as abstract domains; abstract interpretation; automated deduction; data flow analysis; debugging; deductive methods; emerging applications; model-checking; program transformations; predicate abstraction; security analysis; tool environments and architectures; and type checking. Due to the Corona pandemic this event was held virtually.
Download or read book Network Algebra written by Gheorghe Stefanescu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network algebra considers the algebraic study of networks and their behavior. It approaches the models in a sharp and simple manner. This book takes an integrated view of a broad range of applications, varying from concrete hardware-oriented models to high-level software-oriented models.
Download or read book Logic and Algebraic Structures in Quantum Computing written by Jennifer Chubb and published by Cambridge University Press. This book was released on 2016-02-26 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experts in the field explore the connections across physics, quantum logic, and quantum computing.
Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2000-04-06 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra
