Logic of Domains
Logic of Domains

Author: G. Zhang

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 264

ISBN-13: 1461204453

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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.

Mathematical Theory of Domains
Mathematical Theory of Domains

Author: V. Stoltenberg-Hansen

Publisher: Cambridge University Press

Published: 1994-09-22

Total Pages: 366

ISBN-13: 9780521383448

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Introductory textbook/general reference in domain theory for professionals in computer science and logic.

Integrating Functional and Temporal Domains in Logic Design
Integrating Functional and Temporal Domains in Logic Design

Author: Patrick C. McGeer

Publisher: Springer

Published: 1991-05-31

Total Pages: 212

ISBN-13: 9780792391630

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This book is an extension of one author's doctoral thesis on the false path problem. The work was begun with the idea of systematizing the various solutions to the false path problem that had been proposed in the literature, with a view to determining the computational expense of each versus the gain in accuracy. However, it became clear that some of the proposed approaches in the literature were wrong in that they under estimated the critical delay of some circuits under reasonable conditions. Further, some other approaches were vague and so of questionable accu racy. The focus of the research therefore shifted to establishing a theory (the viability theory) and algorithms which could be guaranteed correct, and then using this theory to justify (or not) existing approaches. Our quest was successful enough to justify presenting the full details in a book. After it was discovered that some existing approaches were wrong, it became apparent that the root of the difficulties lay in the attempts to balance computational efficiency and accuracy by separating the tempo ral and logical (or functional) behaviour of combinational circuits. This separation is the fruit of several unstated assumptions; first, that one can ignore the logical relationships of wires in a network when considering timing behaviour, and, second, that one can ignore timing considerations when attempting to discover the values of wires in a circuit.

Domains and Lambda-Calculi
Domains and Lambda-Calculi

Author: Roberto M. Amadio

Publisher: Cambridge University Press

Published: 1998-07-02

Total Pages: 504

ISBN-13: 0521622778

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Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.

Domain-driven Design
Domain-driven Design

Author: Eric Evans

Publisher: Addison-Wesley Professional

Published: 2004

Total Pages: 563

ISBN-13: 0321125215

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"Domain-Driven Design" incorporates numerous examples in Java-case studies taken from actual projects that illustrate the application of domain-driven design to real-world software development.

Justification Logic
Justification Logic

Author: Sergei Artemov

Publisher: Cambridge University Press

Published: 2019-05-02

Total Pages: 271

ISBN-13: 1108424910

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Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.

Learning Domain-Driven Design
Learning Domain-Driven Design

Author: Vlad Khononov

Publisher: "O'Reilly Media, Inc."

Published: 2021-10-08

Total Pages: 342

ISBN-13: 1098100107

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Building software is harder than ever. As a developer, you not only have to chase ever-changing technological trends but also need to understand the business domains behind the software. This practical book provides you with a set of core patterns, principles, and practices for analyzing business domains, understanding business strategy, and, most importantly, aligning software design with its business needs. Author Vlad Khononov shows you how these practices lead to robust implementation of business logic and help to future-proof software design and architecture. You'll examine the relationship between domain-driven design (DDD) and other methodologies to ensure you make architectural decisions that meet business requirements. You'll also explore the real-life story of implementing DDD in a startup company. With this book, you'll learn how to: Analyze a company's business domain to learn how the system you're building fits its competitive strategy Use DDD's strategic and tactical tools to architect effective software solutions that address business needs Build a shared understanding of the business domains you encounter Decompose a system into bounded contexts Coordinate the work of multiple teams Gradually introduce DDD to brownfield projects

Non-Hausdorff Topology and Domain Theory
Non-Hausdorff Topology and Domain Theory

Author: Jean Goubault-Larrecq

Publisher: Cambridge University Press

Published: 2013-03-28

Total Pages: 499

ISBN-13: 1107328772

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This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first time in a single volume, this book covers basic material on metric and topological spaces, advanced material on complete partial orders, Stone duality, stable compactness, quasi-metric spaces and much more. An early chapter on metric spaces serves as an invitation to the topic (continuity, limits, compactness, completeness) and forms a complete introductory course by itself. Graduate students and researchers alike will enjoy exploring this treasure trove of results. Full proofs are given, as well as motivating ideas, clear explanations, illuminating examples, application exercises and some more challenging problems for more advanced readers.

Implementing Domain-driven Design
Implementing Domain-driven Design

Author: Vaughn Vernon

Publisher: Pearson Education

Published: 2013

Total Pages: 656

ISBN-13: 0321834577

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Vaughn Vernon presents concrete and realistic domain-driven design (DDD) techniques through examples from familiar domains, such as a Scrum-based project management application that integrates with a collaboration suite and security provider. Each principle is backed up by realistic Java examples, and all content is tied together by a single case study of a company charged with delivering a set of advanced software systems with DDD.

Plural Logic
Plural Logic

Author: Alex Oliver

Publisher: Oxford University Press, USA

Published: 2016

Total Pages: 399

ISBN-13: 0198744382

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Alex Oliver and Timothy Smiley provide a new account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists.