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Author: Edsger W. Dijkstra
Publisher: Springer Science & Business Media
ISBN: 1461232287
Category : Computers
Languages : en
Pages : 234
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Book Description
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.
Author: Edsger W. Dijkstra
Publisher: Springer Science & Business Media
ISBN: 1461232287
Category : Computers
Languages : en
Pages : 234
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Book Description
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.
Author: Glynn Winskel
Publisher: MIT Press
ISBN: 9780262731034
Category : Computers
Languages : en
Pages : 388
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Book Description
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.
Author: Simon Gay
Publisher: Cambridge University Press
ISBN: 052151374X
Category : Computers
Languages : en
Pages : 497
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Book Description
Explores quantum computation from the perspective of the branch of theoretical computer science known as semantics.
Author: Gabriel Ciobanu
Publisher: Springer Science & Business Media
ISBN: 3540664122
Category : Computational complexity
Languages : en
Pages : 582
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Book Description
This book constitutes the refereed proceedings of the 12th International Symposium on Fundamentals of Computation Theory, FCT '99, held in Iasi, Romania in August/September 1999. The 42 revised full papers presented together with four invited papers were carefully selected from a total of 102 submissions. Among the topics addressed are abstract data types, algorithms and data structures, automata and formal languages, categorical and topological approaches, complexity, computational geometry, concurrency, cryptology, distributed computing, logics in computer science, process algebras, symbolic computation, molecular computing, quantum computing, etc.
Author: Manfred Broy
Publisher: Springer Science & Business Media
ISBN: 3662028808
Category : Computers
Languages : en
Pages : 418
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Book Description
The development of information processing systems requires models, calculi, and theories for the analysis of computations. It is well understood by now that more complex software systems cannot and should not be constructed in one step. A careful, systematic, and disciplined structuring of the development process is most adequate. It should start from basic requirement specifications in which aU the relevant details of the problem to be solved are formalized. The envisaged solution should be developed step by step by adding more and more details and giving evidence-in the best case by formal proof-to show the correctness of the developed steps. The development ends if a description of a solution is obtained that has aU the required properties. The Summer School in Marktoberdorf 1992 showed significant approaches in this area to refinement calculi, to models of computation, and as a special issue to the treatment of reactive timed systems. Like in the many summer schools before, the success of the 1992 Summer School was not only due to the excellent lectures, but even more due to the brilliant students taking part in the discussions at the summer school, the exchange of different views, and the recognition of the similarity of a number of different view points. These were some of the most important contributions of the summer school. fu the following the proceedings of the summer school are collected. They show the maturity of the field in an impressive way.
Author: Jan van Eijck
Publisher: Cambridge University Press
ISBN: 1139490907
Category : Language Arts & Disciplines
Languages : en
Pages : 422
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Book Description
Computational semantics is the art and science of computing meaning in natural language. The meaning of a sentence is derived from the meanings of the individual words in it, and this process can be made so precise that it can be implemented on a computer. Designed for students of linguistics, computer science, logic and philosophy, this comprehensive text shows how to compute meaning using the functional programming language Haskell. It deals with both denotational meaning (where meaning comes from knowing the conditions of truth in situations), and operational meaning (where meaning is an instruction for performing cognitive action). Including a discussion of recent developments in logic, it will be invaluable to linguistics students wanting to apply logic to their studies, logic students wishing to learn how their subject can be applied to linguistics, and functional programmers interested in natural language processing as a new application area.
Author: Roland Backhouse
Publisher: Springer
ISBN: 3540477977
Category : Computers
Languages : en
Pages : 401
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Book Description
Program construction is about turning specifications of computer software into implementations. Recent research aimed at improving the process of program construction exploits insights from abstract algebraic tools such as lattice theory, fixpoint calculus, universal algebra, category theory, and allegory theory. This textbook-like tutorial presents, besides an introduction, eight coherently written chapters by leading authorities on ordered sets and complete lattices, algebras and coalgebras, Galois connections and fixed point calculus, calculating functional programs, algebra of program termination, exercises in coalgebraic specification, algebraic methods for optimization problems, and temporal algebra.
Author: Jayadev Misra
Publisher: Springer Science & Business Media
ISBN: 144198528X
Category : Computers
Languages : en
Pages : 430
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Book Description
In this book, a programming model is developed that addresses the fundamental issues of 'large-scale programming'. The approach unifies several concepts from database theory, object-oriented programming and designs of reactive systems. The model and the associated theory has been christened "Seuss." The major goal of Seuss is to simplify multiprogramming. To this end, the concern of concurrent implementation is separated from the core program design problem. A program execution is understood as a single thread of control - sequential executions of actions that are chosen according to some scheduling policy. As a consequence, it is possible to reason about the properties of a program from its single execution thread.
Author: Andrew Butterfield
Publisher: Springer Science & Business Media
ISBN: 3642145205
Category : Computers
Languages : en
Pages : 286
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Book Description
This book constitutes the thoroughly refereed post-proceedings of the Second International Symposium on Unifying Theories of Programming, UTP 2008, held at Trinity College, Dublin, Ireland, in September 2008. The 15 revised full papers presented, together with two invited talks, were carefully reviewed and selected from 20 submissions. Based on the pioneering work on unifying theories of programming of Tony Hoare, He Jifeng, and others, the aims of this Symposium series are to continue to reaffirm the significance of the ongoing UTP project, to encourage efforts to advance it by providing a focus for the sharing of results by those already actively contributing, and to raise awareness of the benefits of such a unifying theoretical framework among the wider computer science and software engineering communities.
Author: H.-J. Schek
Publisher: Springer Science & Business Media
ISBN: 9783540642640
Category : Computers
Languages : en
Pages : 536
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Book Description
This book constitutes the refereed proceedings of the 6th International Conference on Extending Database Technology, EDBT '98, held in Valencia, Spain, in March 1998. The 32 revised full papers presented together with one invited keynote were selected from a total of 191 submissions. The book is divided in sections on similarity search and indexing, query optimization on the Web, Algorithms for data mining, modelling in OLAP, query processing and storage management, aggregation and summary data, object-oriented and active databases, view maintenance and integrity, databases and the Web, workflow and scientific databases.
