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Games, Norms, and Reasons: Logic at the Crossroads provides an overview of modern logic focusing on its relationships with other disciplines, including new interfaces with rational choice theory, epistemology, game theory and informatics. This book continues a series called "Logic at the Crossroads" whose title reflects a view that the deep insights from the classical phase of mathematical logic can form a harmonious mixture with a new, more ambitious research agenda of understanding and enhancing human reasoning and intelligent interaction. The editors have gathered together articles from active authors in this new area that explore dynamic logical aspects of norms, reasons, preferences and beliefs in human agency, human interaction and groups. The book pays a special tribute to Professor Rohit Parikh, a pioneer in this movement.
Table of Contents
Preface.- Dedication.-1. Bounded Rationality: Models for some Fast and Frugal Heuristics; Horacio Arlo-Costa and Arthur Paul Pedersen.- 2. Why Do We Need Justification Logic?; Sergei Artemov.- 3. Why Meaningsare Not Normative; Akeel Bilgrami.- 4.The Realization Theorem for S5: A Simple, Constructive Proof; Melvin Fitting.- 5. Merging Information; Sujata Ghosh and Fernando R. Velazquez-Quesada.- 6. Modal Logic for Lexicographic Preference Aggregation; Patrick Girard.- 7. No-Φ-Regret: A Connection between Computational Learning Theory and Game Theory; Amy Greenwald, Amir Jafari and Casey Marks.- 8. Axioms of Distinction in Social Software; Vincent F. Hendricks.- 9. Publication/Citation: A Proof-Theoretic Approach to Mathematical Knowledge Management; Dexter Kozen and Ganesh Ramanarayanan.- 10.Generalizing Parikh's Theorem; Johann A. Makowsky.- 11. Syllogistic Logic with Complements; Lawrence Moss.- 12. From Unary to Binary Inductive Logic; Jeff Paris and Alena Vencovska.- 13. Challenges for Decidable Epistemic Logics from Security Protocols; R. Ramanujam and S.P. Suresh.