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Topology Via Logic

Topology Via Logic PDF Author: Steven Vickers
Publisher: Cambridge University Press
ISBN: 9780521576512
Category : Computers
Languages : en
Pages : 224

Book Description
Now in paperback, Topology via Logic is an advanced textbook on topology for computer scientists. Based on a course given by the author to postgraduate students of computer science at Imperial College, it has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the methods of locale theory are freely exploited. Third, there is substantial discussion of some computer science applications. Although books on topology aimed at mathematics exist, no book has been written specifically for computer scientists. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap.

Topology Via Logic

Topology Via Logic PDF Author: Steven Vickers
Publisher: Cambridge University Press
ISBN: 9780521576512
Category : Computers
Languages : en
Pages : 224

Book Description
Now in paperback, Topology via Logic is an advanced textbook on topology for computer scientists. Based on a course given by the author to postgraduate students of computer science at Imperial College, it has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the methods of locale theory are freely exploited. Third, there is substantial discussion of some computer science applications. Although books on topology aimed at mathematics exist, no book has been written specifically for computer scientists. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap.

The Logical Tracts

The Logical Tracts PDF Author: Ahti-Veikko Pietarinen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110651424
Category : Philosophy
Languages : en
Pages : 279

Book Description
In three comprehensive volumes, Logic of the Future presents a full panorama of Charles S. Peirce’s important late writings. Among the most influential American thinkers, Peirce took his existential graphs to be his greatest contribution to human thought. The manuscripts from 1895—1913, most of which are published here for the first time, testify the richness and open-endedness of his theory of logic and its applications. They also invite us to reconsider our ordinary conceptions of reasoning as well as the conventional stories told about the evolution of modern logic. This second volume collects Peirce’s writings on existential graphs related to his Lowell Lectures of 1903, the annus mirabilis of his that became decisive in the development of the mature theory of the graphical method of logic.

The Logic of Typed Feature Structures

The Logic of Typed Feature Structures PDF Author: Bob Carpenter
Publisher: Cambridge University Press
ISBN: 0521419328
Category : Computers
Languages : en
Pages : 282

Book Description
This book develops the theory of typed feature structures and provides a logical foundation for logic programming and constraint-based reasoning systems.

Modal Logic

Modal Logic PDF Author: Patrick Blackburn
Publisher: Cambridge University Press
ISBN: 1316101959
Category : Computers
Languages : en
Pages : 574

Book Description
This is an advanced 2001 textbook on modal logic, a field which caught the attention of computer scientists in the late 1970s. Researchers in areas ranging from economics to computational linguistics have since realised its worth. The book is for novices and for more experienced readers, with two distinct tracks clearly signposted at the start of each chapter. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on the use of modal languages as tools to analyze the properties of relational structures, including their algorithmic and algebraic aspects, and applications to issues in logic and computer science such as completeness, computability and complexity are considered. Three appendices supply basic background information and numerous exercises are provided. Ideal for anyone wanting to learn modern modal logic.

Justification Logic

Justification Logic PDF Author: Sergei Artemov
Publisher: Cambridge University Press
ISBN: 1108424910
Category : Mathematics
Languages : en
Pages : 271

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

Extensions of First-Order Logic

Extensions of First-Order Logic PDF Author: Maria Manzano
Publisher: Cambridge University Press
ISBN: 9780521354356
Category : Computers
Languages : en
Pages : 414

Book Description
An introduction to many-sorted logic as an extension of first-order logic.

Technical documentation

Technical documentation PDF Author: United States. Bureau of the Census
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 646

Book Description


Computational Logic

Computational Logic PDF Author: J.W. Lloyd
Publisher: Springer Science & Business Media
ISBN: 3642762743
Category : Computers
Languages : en
Pages : 221

Book Description
This volume has a dual significance to the ESPRIT Basic Research efforts towards forging strong links between European academic and industrial teams carrying out research, often interdisciplinary, at the forefront of Information Technology. Firstly, it consists of the proceedings of the "Symposium on Computational Logic" - held on the occasion of the 7th ESPRIT Conference Week in November 1990 - whose organisation was inspired by the work of Basic Research Action 3012 (COMPULOG). This is a consortium which has attracted world-wide interest, with requests for collaboration throughout Europe, the US and Japan. The work of COMPULOG acts as a focal point in this symposium which is broadened to cover the work of other eminent researchers in the field, thus providing a review of the state of the art in computational logic, new and important contributions in the field, but also a vision of the future. Secondly, this volume is the first of an ESPRIT Basic Research Series of publications of research results. It is expected that the quality of content and broad distribution of this series will have a major impact in making the advances achieved accessible to the world of academic and industrial research alike. At this time, all ESPRIT Basic Research Actions have completed their first year and it is most encouraging and stimulating to see the flow of results such as the fine examples presented in this symposium.

Epistemic Logic for AI and Computer Science

Epistemic Logic for AI and Computer Science PDF Author: J.-J. Ch. Meyer
Publisher: Cambridge University Press
ISBN: 9780521602808
Category : Computers
Languages : en
Pages : 376

Book Description
A broad introduction to the subject; many exercises with full solutions are provided.

Signs of Logic

Signs of Logic PDF Author: Ahti-Veikko Pietarinen
Publisher: Springer Science & Business Media
ISBN: 1402037295
Category : Philosophy
Languages : en
Pages : 516

Book Description
Charles Sanders Peirce (1839-1914) was one of the United States’ most original and profound thinkers, and a prolific writer. Peirce’s game theory-based approaches to the semantics and pragmatics of signs and language, to the theory of communication, and to the evolutionary emergence of signs, provide a toolkit for contemporary scholars and philosophers. Drawing on unpublished manuscripts, the book offers a rich, fresh picture of the achievements of a remarkable man.