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E-book
Author Mann, Allen L. (Allen Lawrence)

Title Independence-friendly logic : a game-theoretic approach / Allen L. Mann, Gabriel Sandu, Merlijn Sevenster
Published Cambridge ; New York : Cambridge University Press, 2011
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Description 1 online resource (vi, 208 pages)
Series London Mathematical Society lecture note series ; 386
London Mathematical Society lecture note series ; 386
Contents Machine generated contents note: 1. Introduction -- 2. Game theory -- 2.1. Extensive games -- 2.2. Strategic games -- 3. First-order logic -- 3.1. Syntax -- 3.2. Models -- 3.3. Game-theoretic semantics -- 3.4. Logical equivalence -- 3.5. Compositional semantics -- 3.6. Satisfiability -- 4. Independence-friendly logic -- 4.1. Syntax -- 4.2. Game-theoretic semantics -- 4.3. Skolem semantics -- 4.4. Compositional semantics -- 4.5. Game-theoretic semantics redux -- 5. Properties of IF logic -- 5.1. Basic properties -- 5.2. Extensions of IF logic -- 5.3. Logical equivalence -- 5.4. Model theory -- 6. Expressive power of IF logic -- 6.1. Definability -- 6.2. Second-order logic -- 6.3. Existential second-order logic -- 6.4. Perfect recall -- 7. Probabilistic IF logic -- 7.1. Equilibrium semantics -- 7.2. Monotonicity rules -- 7.3. Behavioral strategies and compositional semantics -- 7.4. Elimination of strategies -- 7.5. Expressing the rationals -- 8. Further topics -- 8.1. Compositionality -- 8.2. IF modal logic
Summary Bringing together over twenty years of research, this book gives a complete overview of independence-friendly logic. It emphasizes the game-theoretical approach to logic, according to which logical concepts such as truth and falsity are best understood via the notion of semantic games. The book pushes the paradigm of game-theoretical semantics further than the current literature by showing how mixed strategies and equilibria can be used to analyze independence-friendly formulas on finite models. The book is suitable for graduate students and advanced undergraduates who have taken a course on first-order logic. It contains a primer of the necessary background in game theory, numerous examples and full proofs
Bibliography Includes bibliographical references (pages 198-202) and index
Notes Print version record
Subject First-order logic.
Game theory.
Form Electronic book
Author Sandu, Gabriel.
Sevenster, Merlijn.
ISBN 0511981414 (ebook)
1139077988 (electronic bk.)
113908027X
9780511981418 (ebook)
9781139077989 (electronic bk.)
9781139080279
Other Titles Combinatorics, geometry and probability