Relation Algebras By Games

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Relation Algebras by Games

Author : Robin Hirsch
Publisher : Gulf Professional Publishing
ISBN 13 : 9780444509321
Total Pages : 722 pages
Book Rating : 4.5/5 (93 download)

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Book Synopsis Relation Algebras by Games by : Robin Hirsch

Download or read book Relation Algebras by Games written by Robin Hirsch and published by Gulf Professional Publishing. This book was released on 2002-08-15 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part 2, games are introduced, and used to axiomatise various classes of algebras. Part 3 discusses approximations to representability, using bases, relation algebra reducts, and relativised representations. Part 4 presents some constructions of relation algebras, including Monk algebras and the 'rainbow construction', and uses them to show that various classes of representable algebras are non-finitely axiomatisable or even non-elementary. Part 5 shows that the representability problem for finite relation algebras is undecidable, and then in contrast proves some finite base property results. Part 6 contains a condensed summary of the book, and a list of problems. There are more than 400 exercises. P The book is generally self-contained on relation algebras and on games, and introductory text is scattered throughout. Some familiarity with elementary aspects of first-order logic and set theory is assumed, though many of the definitions are given.-

Relational and Algebraic Methods in Computer Science

Author : Roland Glück
Publisher : Springer Nature
ISBN 13 : 3031280830
Total Pages : 309 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Relational and Algebraic Methods in Computer Science by : Roland Glück

Download or read book Relational and Algebraic Methods in Computer Science written by Roland Glück and published by Springer Nature. This book was released on 2023-03-07 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2023, which took place in Augsburg, Germany, during April 3–6, 2023. The 17 papers presented in this book were carefully reviewed and selected from 26 submissions. They deal with the development and dissemination of relation algebras, Kleene algebras, and similar algebraic formalisms. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond. Apart from the submitted articles, this volume features the abstracts of the presentations of the three invited speakers.

Relation algebras

Author : Alison C. Mirin
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Relation algebras by : Alison C. Mirin

Download or read book Relation algebras written by Alison C. Mirin and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Building Models by Games

Author : Wilfrid Hodges
Publisher : Courier Corporation
ISBN 13 : 0486450171
Total Pages : 338 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Building Models by Games by : Wilfrid Hodges

Download or read book Building Models by Games written by Wilfrid Hodges and published by Courier Corporation. This book was released on 2006-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces a general method for building infinite mathematical structures and surveys applications in algebra and model theory. It covers basic model theory and examines a variety of algebraic applications, including completeness for Magidor-Malitz quantifiers, Shelah's recent and sophisticated omitting types theorem for L(Q), and applications to Boolean algebras. Over 160 exercises. 1985 edition.

Sheaves, Games, and Model Completions

Author : Silvio Ghilardi
Publisher : Springer Science & Business Media
ISBN 13 : 940159936X
Total Pages : 246 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Sheaves, Games, and Model Completions by : Silvio Ghilardi

Download or read book Sheaves, Games, and Model Completions written by Silvio Ghilardi and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an example of fruitful interaction between (non-classical) propo sitionallogics and (classical) model theory which was made possible due to categorical logic. Its main aim consists in investigating the existence of model completions for equational theories arising from propositional logics (such as the theory of Heyting algebras and various kinds of theories related to proposi tional modal logic ). The existence of model-completions turns out to be related to proof-theoretic facts concerning interpretability of second order propositional logic into ordinary propositional logic through the so-called 'Pitts' quantifiers' or 'bisimulation quantifiers'. On the other hand, the book develops a large number of topics concerning the categorical structure of finitely presented al gebras, with related applications to propositional logics, both standard (like Beth's theorems) and new (like effectiveness of internal equivalence relations, projectivity and definability of dual connectives such as difference). A special emphasis is put on sheaf representation, showing that much of the nice categor ical structure of finitely presented algebras is in fact only a restriction of natural structure in sheaves. Applications to the theory of classifying toposes are also covered, yielding new examples. The book has to be considered mainly as a research book, reporting recent and often completely new results in the field; we believe it can also be fruitfully used as a complementary book for graduate courses in categorical and algebraic logic, universal algebra, model theory, and non-classical logics. 1.

The Bulletin of Symbolic Logic

Author :
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Bulletin of Symbolic Logic by :

Download or read book The Bulletin of Symbolic Logic written by and published by . This book was released on 2004 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Relation-Algebraic Approach to Simple Games

Author : Rudolf Berghammer
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis A Relation-Algebraic Approach to Simple Games by : Rudolf Berghammer

Download or read book A Relation-Algebraic Approach to Simple Games written by Rudolf Berghammer and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple games are a powerful tool to analyze decision-making and coalition formation in social and political life. In this paper, we present relation-algebraic models of simple games and develop relational algorithms for solving some basic problems of them. In particular, we test certain fundamental properties of simple games (being monotone, proper, respectively strong) and compute specific players (dummies, dictators, vetoers, null players) and coalitions (minimal winning coalitions and vulnerable winning coalitions). We also apply relation-algebra to determine central and dominant players, swingers and power indices (the Banzhaf, Holler-Packel and Deegan-Packel indices). This leads to relation-algebraic specifications, which can be executed with the help of the BDD-based tool RelView after a simple translation into the tool's programming language. In order to demonstrate the visualization facilities of RelView we consider an example of the Catalonian Parliament after the 2003 election.

A Book of Abstract Algebra

Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486474178
Total Pages : 402 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Book of Abstract Algebra by : Charles C Pinter

Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Relation Algebras, Multigroupoids, and Degree

Author : Mohamed El Bachraoui
Publisher :
ISBN 13 : 9789090162232
Total Pages : 120 pages
Book Rating : 4.1/5 (622 download)

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Book Synopsis Relation Algebras, Multigroupoids, and Degree by : Mohamed El Bachraoui

Download or read book Relation Algebras, Multigroupoids, and Degree written by Mohamed El Bachraoui and published by . This book was released on 2002 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simple Games

Author : Alan D. Taylor
Publisher : Princeton University Press
ISBN 13 : 9780691001203
Total Pages : 272 pages
Book Rating : 4.0/5 (12 download)

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Book Synopsis Simple Games by : Alan D. Taylor

Download or read book Simple Games written by Alan D. Taylor and published by Princeton University Press. This book was released on 1999-10-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory material receives a fresh treatment, with an emphasis on Boolean subgames and the Rudin-Keisler order as unifying concepts. Advanced material focuses on the surprisingly wide variety of properties related to the weightedness of a game."--BOOK JACKET.

The Representation of Relation Algebras

Author : Ralph McKenzie
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (399 download)

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Book Synopsis The Representation of Relation Algebras by : Ralph McKenzie

Download or read book The Representation of Relation Algebras written by Ralph McKenzie and published by . This book was released on 1966 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 986 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Numbers and Games

Author : John H. Conway
Publisher : CRC Press
ISBN 13 : 1439864152
Total Pages : 253 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis On Numbers and Games by : John H. Conway

Download or read book On Numbers and Games written by John H. Conway and published by CRC Press. This book was released on 2000-12-11 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class that includes both real numbers and ordinal numbers: surreal numbers. The second edition presents developments in mathematical game theory, focusing on surreal numbers and the additive theory of partizan games.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Simple Games

Author : Alan D. Taylor
Publisher : Princeton University Press
ISBN 13 : 0691223890
Total Pages : 266 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Simple Games by : Alan D. Taylor

Download or read book Simple Games written by Alan D. Taylor and published by Princeton University Press. This book was released on 2021-01-12 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple games are mathematical structures inspired by voting systems in which a single alternative, such as a bill, is pitted against the status quo. The first in-depth mathematical study of the subject as a coherent subfield of finite combinatorics--one with its own organized body of techniques and results--this book blends new theorems with some of the striking results from threshold logic, making all of it accessible to game theorists. Introductory material receives a fresh treatment, with an emphasis on Boolean subgames and the Rudin-Keisler order as unifying concepts. Advanced material focuses on the surprisingly wide variety of properties related to the weightedness of a game. A desirability relation orders the individuals or coalitions of a game according to their influence in the corresponding voting system. As Taylor and Zwicker show, acyclicity of such a relation approximates weightedness--the more sensitive the relation, the closer the approximation. A trade is an exchange of players among coalitions, and robustness under such trades is equivalent to weightedness of the game. Robustness under trades that fit some restrictive exchange pattern typically characterizes a wider class of simple games--for example, games for which some particular desirability order is acyclic. Finally, one can often describe these wider classes of simple games by weakening the total additivity of a weighting to obtain what is called a pseudoweighting. In providing such uniform explanations for many of the structural properties of simple games, this book showcases numerous new techniques and results.

Relations and Kleene Algebra in Computer Science

Author : Rudolf Berghammer
Publisher : Springer
ISBN 13 : 3642046398
Total Pages : 374 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Relations and Kleene Algebra in Computer Science by : Rudolf Berghammer

Download or read book Relations and Kleene Algebra in Computer Science written by Rudolf Berghammer and published by Springer. This book was released on 2009-11-03 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book constitutes the joint refereed proceedings of the 11th International Conference on Relational Methods in Computer Science, RelMiCS 2009, and the 6th International Conference on Applications of Kleene Algebras, AKA 2009, held in Doha, Qatar in November 2009. The 22 revised full papers presented together with 2 invited papers were carefully reviewed and selected from numerous submissions. The papers describe the calculus of relations and similar algebraic formalisms as methodological and conceptual tools with special focus on formal methods for software engineering, logics of programs and links to neighbouring disciplines. Their scope comprises relation relation algebras and Kleene algebras, related formalisms such as process algebras, fixed point calculi, idempotent semirings, quantales, allegories, dynamic algebras, cylindric algebras and their applications in areas such as verification, analysis and development of programs and algorithms relational formal methods such as B or Z, tabular methods, algebraic approaches to logics of programs, modal and dynamic logics, interval and temporal logics, algebraic semantics of programming languages , graph theory and combinatorial optimization, games, automata and language theory, mechanised and automated reasoning, decision procedures, spatio-temporal reasoning, knowledge acquisition, preference and scaling methods or information systems.

Foundations of the Formal Sciences V

Author : Stefan Bold
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Foundations of the Formal Sciences V by : Stefan Bold

Download or read book Foundations of the Formal Sciences V written by Stefan Bold and published by . This book was released on 2007 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinity can feature in games in various forms: we can play games of infinite length, with infinitely many players, or allow for infinitely many moves or strategies. Games of infinite length have been thoroughly investigated by mathematicians ard have played a central role in mathematical logic. However, their applications go far beyond mathematics: they feature prominently in theoretical computer science, philosophical "Gedankenxperiments", as limit cases in economical applications, and in many other applications. The conference "Foundations of the Formal Sciences V" focused on games of infinite length, but was very open to include other notions of infinity in games as well. It brought together researchers from the various areas that employ infinitary game techniques to talk about similarities and dissimilarities of the different approaches and develop cross-cultural bridges. This volume contains the fully refereed proceedings of the conference and provides a healthy and interesting mixture of research papers and surveys for a broad audience.