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Titlebook: Mathematics of Program Construction; Second International R. S. Bird,C. C. Morgan,J. C. P. Woodcock Conference proceedings 1993 Springer-Ve

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發(fā)表于 2025-3-21 16:11:50 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mathematics of Program Construction
副標題Second International
編輯R. S. Bird,C. C. Morgan,J. C. P. Woodcock
視頻videohttp://file.papertrans.cn/627/626967/626967.mp4
叢書名稱Lecture Notes in Computer Science
圖書封面Titlebook: Mathematics of Program Construction; Second International R. S. Bird,C. C. Morgan,J. C. P. Woodcock Conference proceedings 1993 Springer-Ve
描述Not very long ago, the uninhibited use of mathematics in thedevelopment of software was regarded as something foracademics alone. Today, there is moreand more interestfrom industry in formal methods based on mathematics. Thisinterest has come from the success of a number ofexperiments on real industrial applications. Thus, there isnot only a belief, but alsoevidence, that the study ofcomputer programs as mathematical objects leads to moreefficient methods for constructing them.The papers in this volume were presented at the SecondInternational Conference on the Mathematics of ProgramConstruction, held at St. Catherine‘s College, Oxford, June29 - July 3, 1992. The conference was organized by theOxford University Programming Research Group, and continuedthe theme set by the first - the use of crisp, clearmathematics in the discovery and design of algorithms. Thesecond conference gives evidence of the ever-widening impactof precise mathematical methods in program development.There are papers applying mathematics not only tosequentialprograms but also to parallel and on-current applications,real-time and reactive systems, and to designsrealiseddirectly in hardware. The volume includes
出版日期Conference proceedings 1993
關鍵詞Formal Methods; Formal Specification; Formale Methoden; Formale Spezifikation; Graph Algorithms; Graph-Al
版次1
doihttps://doi.org/10.1007/3-540-56625-2
isbn_softcover978-3-540-56625-0
isbn_ebook978-3-540-47613-9Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer-Verlag Berlin Heidelberg 1993
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:24:44 | 只看該作者
An algebraic construction of predicate transformers,ively weaker ones in the categories of relations and predicate transformers. In addition, it has exposed two complete rules for the refinement and composition of specifications in Morgan‘s refinement calculus.
板凳
發(fā)表于 2025-3-22 01:49:36 | 只看該作者
Solving optimisation problems with catamorphisms,n terms of a relational catamorphism, can be solved by means of a functional catamorphism. The result is illustrated with a derivation of Kruskal‘s algorithm for finding a minimum spanning tree in a connected graph.
地板
發(fā)表于 2025-3-22 05:54:06 | 只看該作者
A time-interval calculus,the calculus is compared with Tarski‘s calculus of relations. Then states and duration are introduced and a case study is provided. Finally the connection with the duration calculus and other temporal logics is shown.
5#
發(fā)表于 2025-3-22 12:14:29 | 只看該作者
Upwards and downwards accumulations on trees,replace each element of a tree with some function—in fact, some homomorphism—of that element‘s descendants and of its ancestors, respectively. These two operations can be thought of as passing information up and down the tree..We introduce these two accumulations, and show how together they solve the so-called prefix sums problem.
6#
發(fā)表于 2025-3-22 13:14:40 | 只看該作者
(Relational) programming laws in the boom hierarchy of types,ormalism” (see [22]) and the “Dijkstra-Feijen calculus” (see [15])..The current paper forms an abridged, though representative, version of a complete account of the algebraic properties of the Boom hierarchy of types [19, 18]. Missing is an account of extensionality and the so-called cross-product.
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發(fā)表于 2025-3-22 18:03:00 | 只看該作者
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發(fā)表于 2025-3-23 00:25:23 | 只看該作者
Designing arithmetic circuits by refinement in Ruby,e consequence of decisions made (and explained) in terms of the abstract algorithm. The systematic derivation serves both as an explanation of the circuit, and as a demonstration that it is correct ‘by construction’. We believe that the technique is applicable to a wide range of similar algorithms.
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發(fā)表于 2025-3-23 01:53:09 | 只看該作者
10#
發(fā)表于 2025-3-23 05:56:45 | 只看該作者
Logical specifications for functional programs, are simply programs in a functional programming language. Development from abstract specifications to programs is calculational..Using logic in the specification language has many advantages. Importantly it allows nondeterministic specifications to be given, and thus does not force overspecification.
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