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Author: G. Zhang
Publisher: Springer Science & Business Media
ISBN: 1461204453
Category : Computers
Languages : en
Pages : 264
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Book Description
This monograph studies the logical aspects of domains as used in de notational semantics of programming languages. Frameworks of domain logics are introduced; these serve as foundations for systematic derivations of proof systems from denotational semantics of programming languages. Any proof system so derived is guaranteed to agree with denotational se mantics in the sense that the denotation of any program coincides with the set of assertions true of it. The study focuses on two categories for dena tational semantics: SFP domains, and the less standard, but important, category of stable domains. The intended readership of this monograph includes researchers and graduate students interested in the relation between semantics of program ming languages and formal means of reasoning about programs. A basic knowledge of denotational semantics, mathematical logic, general topology, and category theory is helpful for a full understanding of the material. Part I SFP Domains Chapter 1 Introduction This chapter provides a brief exposition to domain theory, denotational se mantics, program logics, and proof systems. It discusses the importance of ideas and results on logic and topology to the understanding of the relation between denotational semantics and program logics. It also describes the motivation for the work presented by this monograph, and how that work fits into a more general program. Finally, it gives a short summary of the results of each chapter. 1. 1 Domain Theory Programming languages are languages with which to perform computa tion.
Author: G. Zhang
Publisher: Springer Science & Business Media
ISBN: 1461204453
Category : Computers
Languages : en
Pages : 264
Get Book Here
Book Description
This monograph studies the logical aspects of domains as used in de notational semantics of programming languages. Frameworks of domain logics are introduced; these serve as foundations for systematic derivations of proof systems from denotational semantics of programming languages. Any proof system so derived is guaranteed to agree with denotational se mantics in the sense that the denotation of any program coincides with the set of assertions true of it. The study focuses on two categories for dena tational semantics: SFP domains, and the less standard, but important, category of stable domains. The intended readership of this monograph includes researchers and graduate students interested in the relation between semantics of program ming languages and formal means of reasoning about programs. A basic knowledge of denotational semantics, mathematical logic, general topology, and category theory is helpful for a full understanding of the material. Part I SFP Domains Chapter 1 Introduction This chapter provides a brief exposition to domain theory, denotational se mantics, program logics, and proof systems. It discusses the importance of ideas and results on logic and topology to the understanding of the relation between denotational semantics and program logics. It also describes the motivation for the work presented by this monograph, and how that work fits into a more general program. Finally, it gives a short summary of the results of each chapter. 1. 1 Domain Theory Programming languages are languages with which to perform computa tion.
Author: Stephen Brookes
Publisher: Springer Science & Business Media
ISBN: 9783540580270
Category : Computers
Languages : en
Pages : 664
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Book Description
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.
Author: Sophie Tison
Publisher: Springer Science & Business Media
ISBN: 9783540578796
Category : Computers
Languages : en
Pages : 374
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Book Description
This volume contains the papers selected for presentation at the 19th Colloquium on Trees in Algebra and Programming (CAAP '94), which was held jointly with the fifth European Symposium on Programming (ESOP '94) in Edinburgh in April 1994. Originally this colloquium series was devoted to the algebraic and combinatorial properties of trees, and their role in various fields of computer science. Taking into account the evolution of computer science, CAAP '94 focuses on logical, algebraic and combinatorial properties of discrete structures (strings, trees, graphs, etc.); the topics also include applications to computer science provided that algebraic or syntactic methods are involved. The volume contains 21 papers selected from 51 submissions as well as two invited papers.
Author: G. Gierz
Publisher: Cambridge University Press
ISBN: 9780521803380
Category : Mathematics
Languages : en
Pages : 640
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Book Description
Table of contents
Author: Igor Privara
Publisher: Springer Science & Business Media
ISBN: 9783540583387
Category : Computers
Languages : en
Pages : 644
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Book Description
This volume constitutes the proceedings of the 19th International Symposium on Mathematical Foundations of Theoretical Computer Science, MFCS '94, held in Kosice, Slovakia in August 1994. MFCS '94 brought together specialists in theoretical fields of computer science from various countries in order to stimulate mathematical research in theoretical computer science. Besides 12 papers based on invited talks by renowned experts, the book contains 42 research contributions selected from a total of 112 submissions. All areas of theoretical computer science are presented, some from a particular mathematical point of view.
Author: Daniel Anderson
Publisher: CRC Press
ISBN: 0429530447
Category : Mathematics
Languages : en
Pages : 378
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Book Description
Includes current work of 38 renowned contributors that details the diversity of thought in the fields of commutative algebra and multiplicative ideal theory. Summarizes recent findings on classes of going-down domains and the going-down property, emphasizing new characterizations and applications, as well as generalizations for commutative rings wi
Author: Karlheinz Spindler
Publisher: Routledge
ISBN: 135146924X
Category : Mathematics
Languages : en
Pages : 554
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Book Description
A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.
Author: Chris Hankin
Publisher: Imperial College Press
ISBN: 178326358X
Category :
Languages : en
Pages : 446
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Book Description
The focus of this workshop was the development of mathematically-based techniques of formal specification of system behaviour, and the systematic development of implementations. The aim is to produce correct, efficient implementations in a reliable fashion. Topics covered at the workshop include category theory, logic, domain theory, semantics, concurrency, specification and verification. The papers published here range from the purely theoretical to practical applications.
Author: Martin Wirsing
Publisher: Springer
ISBN: 3540400206
Category : Computers
Languages : en
Pages : 466
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Book Description
This book constitutes the thoroughly refereed post-proceedings of the 16th International Workshop on Algebraic Development Techniques, WADT 2002, held at Frauenchiemsee, Germany in September 2002.The 20 revised full papers presented together with 6 invited papers were carefully improved and selected from 44 workshop presentations during two rounds of reviewing. The papers are devoted to topics like formal methods for system development, specification languages and methods, systems and techniques for reasoning about specifications, specification development systems, methods and techniques for concurrent, distributed, and mobile systems, and algebraic and co-algebraic methods.
Author: Barbara Clarke
Publisher: Springer Science & Business Media
ISBN: 0387096698
Category : Education
Languages : en
Pages : 311
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Book Description
Tasks in Primary Mathematics Teacher Education is intended to advance relevant research and innovative international practices in the preparation and professional development of mathematics teachers. Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world. The choice of tasks, and the associated pedagogies, is a key aspect of teaching and learning mathematics. Arguing that what students learn is largely defined by the tasks they are given, several major themes are presented. One such major strand, the form, function and focus of tasks, is discussed throughout several chapters, offering analysis, discussion of implementation, and exemplars of a broader category of illustrative techniques for developing critical understanding.
