Graph Games and Logic Design : Recent Developments and Further Directions (Trends in Logic 66) （2025. xxx, 430 S. XXX, 430 p. 79 illus., 24 illus. in color. 235 mm）

Herausgegeben:van Benthem, Johan/ Liu, Fenrong

SPRINGER, BERLIN; SPRINGER NATURE SWITZERLAND; SPRING（2025発売）

• 製本 Hardcover:ハードカバー版
• 商品コード 9783031913600

Full Description

This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games - the sabotage game and the hide-and-seek game - to demonstrate the natural interplay between designing new graph games and exploring new kinds of logics that fit with these games. The collected works in this volume therefore straddle both established research directions of designing logics for analyzing games and designing games for analyzing logics.

This book contains a general introduction to the project of matching up graph games and logic design, and a collection of selected and commissioned contributions that illustrate novel concepts, questions, and logical techniques in the field. The contributions are introduced and contextualized in an editorial preface and conclusion. Future outlooks towards further research on graph games, new graph games, major new technical challenges, and potential practical applications to, for example, board games and a design tool for experiments in cognitive psychology conclude the volume. This book is of interest to a broad audience working with theoretical and practical applications of graph games and modal logics.

Contents

Introduction to the main questions and answers in the literature since.- An essay on sabotage and obstruction.- Mechanizing Mathematical Reasoning.- Model checking and satisfiability for sabotage modal logic.- Modal logics of sabotage revisited.- Losing connection: the modal logic of definable link deletion.- Hybrid sabotage modal logic.- Conclusion.