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Author: Jouko Väänänen
Publisher: Cambridge University Press
ISBN: 1139496336
Category : Mathematics
Languages : en
Pages : 381
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Book Description
This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht–Fraïssé game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko Väänänen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications.
Author: Jouko Väänänen
Publisher: Cambridge University Press
ISBN: 1139496336
Category : Mathematics
Languages : en
Pages : 381
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Book Description
This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht–Fraïssé game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko Väänänen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications.
Author: Wilfrid Hodges
Publisher: Courier Corporation
ISBN: 0486450171
Category : Mathematics
Languages : en
Pages : 338
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Book Description
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.
Author: Wilfrid Hodges
Publisher: CUP Archive
ISBN: 9780521317160
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This book introduces a general method for building infinite mathematical structures, and surveys its applications in algebra and model theory. The basic idea behind the method is to build a structure by a procedure with infinitely many steps, similar to a game between two players that goes on indefinitely. The approach is new and helps to simplify, motivate and unify a wide range of constructions that were previously carried out separately and by ad hoc methods. The first chapter provides a resume of basic model theory. A wide variety of algebraic applications are studied, with detailed analyses of existentially closed groups of class 2. Another chapter describes the classical model-theoretic form of this method -of construction, which is known variously as 'omitting types', 'forcing' or the 'Henkin-Orey theorem'. The last three chapters are more specialised and discuss how the same idea can be used to build uncountable structures. Applications include completeness for Magidor-Malitz quantifiers, and Shelah's recent and sophisticated omitting types theorem for L(Q). There are also applications to Bdolean algebras and models of arithmetic.
Author: Rodica Branzei
Publisher: Springer Science & Business Media
ISBN: 354077954X
Category : Business & Economics
Languages : en
Pages : 203
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Book Description
Cooperative game theory is a booming research area with many new developments in the last few years. So, our main purpose when prep- ing the second edition was to incorporate as much of these new dev- opments as possible without changing the structure of the book. First, this o?ered us the opportunity to enhance and expand the treatment of traditional cooperative games, called here crisp games, and, especially, that of multi-choice games, in the idea to make the three parts of the monograph more balanced. Second, we have used the opportunity of a secondeditiontoupdateandenlargethelistofreferencesregardingthe threemodels of cooperative games. Finally, we have bene?ted fromthis opportunity by removing typos and a few less important results from the ?rst edition of the book, and by slightly polishing the English style and the punctuation, for the sake of consistency along the monograph. The main changes are: (1) Chapter 3 contains an additional section, Section 3. 3, on the - erage lexicographic value, which is a recent one-point solution concept de?ned on the class of balanced crisp games. (2) Chapter 4 is new. It o?ers a brief overview on solution c- cepts for crisp games from the point of view of egalitarian criteria, and presents in Section 4. 2 a recent set-valued solution concept based on egalitarian considerations, namely the equal split-o? set. (3)Chapter5isbasicallyanenlargedversionofChapter4ofthe?rst edition because Section 5. 4 dealing with the relation between convex games and clan games with crisp coalitions is new.
Author: Anne Condon
Publisher: MIT Press (MA)
ISBN:
Category : Computers
Languages : en
Pages : 160
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Book Description
Computational Models of Games describes a model of two person games - called a probabilistic game automaton - that unifies other important models that have been developed to reflect the game-like properties of computational problems.
Author: Kassandra Arevalo
Publisher: CRC Press
ISBN: 1000281841
Category : Computers
Languages : en
Pages : 841
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Book Description
Description: This tutorial-based book allows readers to create a first-person game from start to finish using industry-standard (and free to student) tools of Maya, Substance Painter, and Unreal Engine. The first half of the book lays out the basics of using Maya and Substance Painter to create game-ready assets. This includes polygonal modeling, UV layout, and custom texture painting. Then, the book covers rigging and animation solutions to create assets to be placed in the game including animated first-person assets and motion-captured NPC animations. Finally, readers can put it all together and build interactivity that allows the player to create a finished game using the assets built and animated earlier in the book. • Written by industry professionals with real-world experience in building assets and games. • Build a complete game from start to finish. • Learn what the pros use: construct all assets using the tools used at industries across the world. • All software used are free to students. • When complete, students will have a playable version of an FPS game. Jing Tian Li is a graduate of China’s Central Academy of Fine Arts and New York’s School of Visual Arts, where he earned an MFA in Computer Art. He currently is an Assistant Professor of 3D Animation & Game Design at the University of the Incarnate Word in San Antonio, Texas. Kassandra Arevalo is an instructor of 3D Animation & Game Design at the University of the Incarnate Word in San Antonio, Texas. She previously worked as an animator at Immersed Games. Matt Tovar is an industry veteran animator. He has worked at Naughty Dog, Infinity Ward, and Sony Interactive on such games as The Last of Us, Call of Duty: Modern Warfare, and most recently Marvel’s Avengers with Crystal Dynamics. He is an Assistant Professor of 3D Animation at the University of the Incarnate Word in San Antonio, Texas.
Author: Jingtian Li
Publisher: CRC Press
ISBN: 1000281973
Category : Computers
Languages : en
Pages : 769
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Book Description
This tutorial-based book allows readers to create a first-person game from start to finish using industry-standard (and free to student) tools of Unity, Substance Painter, and Maya. The first half of the book lays out the basics of using Maya and Substance Painter to create game-ready assets. This includes polygonal modeling, UV layout, and custom texture painting. The book then covers rigging and animation solutions to create assets to be placed in the game, including animated first-person assets and motion-captured NPC animations. Finally, readers can put it all together and build interactivity that allows the player to create a finished game using the assets built and animated earlier in the book. • Written by industry professionals with real-world experience in building assets and games • Build a complete game from start to finish • Learn what the pros use: construct all assets using the tools used at game studios across the world • All software used are free to students • When complete, students will have a playable version of an FPS game Jingtian Li is a graduate of China’s Central Academy of Fine Arts and New York’s School of Visual Arts, where he earned an MFA in Computer Art. He currently is an Assistant Professor of 3D Animation & Game Design at the University of the Incarnate Word in San Antonio, Texas. Adam Watkins is a 20-year veteran of 3D education. He holds an MFA in 3D Animation and a BFA in Theatre Arts from Utah State University. He currently is the Coordinator and Professor of the 3D Animation & Game Department at the University of the Incarnate Word in San Antonio, Texas. Kassandra Arevalo is an instructor of 3D Animation & Game Design at the University of the Incarnate Word in San Antonio, Texas. She previously worked as an animator at Immersed Games. Matt Tovar is an industry veteran animator. He has worked at Naughty Dog, Infinity Ward, and Sony Interactive on such games as The Last of Us, Call of Duty: Modern Warfare, and most recently Marvel’s Avengers with Crystal Dynamics. He is an Assistant Professor of 3D Animation at the University of the Incarnate Word in San Antonio, Texas.
Author: Schrier, Karen
Publisher: IGI Global
ISBN: 160960122X
Category : Games & Activities
Languages : en
Pages : 406
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Book Description
"This book brings together the diverse and growing community of voices on ethics in gaming and begins to define the field, identify its primary challenges and questions, and establish the current state of the discipline"--Provided by publisher.
Author: Van Eck, Richard
Publisher: IGI Global
ISBN: 1615207201
Category : Education
Languages : en
Pages : 430
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Book Description
"This book discusses the need for interdisciplinary awareness in the study of games and learning"--Provided by publisher.
Author: Pankaj Ghemawat
Publisher: MIT Press
ISBN: 9780262071826
Category : Business & Economics
Languages : en
Pages : 286
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Book Description
Because they are analytical rather than descriptive, the case studies are not typical teaching cases. The cases are paired with customized game-theoretic models that cover a wide range of commitment decisions, from short-run commitments such as price to longer-run commitments such as capacity expansion and reduction, product and process innovation, and battles for market share. A variety of quantitative and qualitative techniques are used to test the models' predictions on case data.
