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A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games. This book draws on ideas from philosophical logic, computational logic, multi-agent systems, and game theory to offer a comprehensive account of logic and games viewed in two complementary ways. It examines the logic of games: the development of sophisticated modern dynamic logics that model information flow, communication, and interactive structures in games. It also examines logic as games: the idea that logical activities of reasoning and many related tasks can be viewed in the form of games. In doing so, the book takes up the “intelligent interaction” of agents engaging in competitive or cooperative activities and examines the patterns of strategic behavior that arise. It develops modern logical systems that can analyze information-driven changes in players' knowledge and beliefs, and introduces the “Theory of Play” that emerges from the combination of logic and game theory. This results in a new view of logic itself as an interactive rational activity based on reasoning, perception, and communication that has particular relevance for games. Logic in Games, based on a course taught by the author at Stanford University, the University of Amsterdam, and elsewhere, can be used in advanced seminars and as a resource for researchers.
A collection of games, tricks, and puzzles using mathematical concerns and knowledge.
The Blueprint for LSAT Logic Games provides a comprehensive system for attacking the most difficult section of the LSAT. Blueprint has developed powerful methods that have helped thousands of students improve their LSAT scores. Using a revolutionary approach called Blueprint Building Blocks, this book is able to convey those same strategies in a new format. The Blueprint for LSAT Logic Games features 35 real LSAT games and over 560 pages of instructional material.
A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation Logic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since. Games like Sudoku and Mastermind are fun and engrossing recreational activities, but they also share deep foundations in mathematical logic and are worthy of serious intellectual inquiry. Games for Your Mind explores the history and future of logic puzzles while enabling you to test your skill against a variety of puzzles yourself. In this informative and entertaining book, Jason Rosenhouse begins by introducing readers to logic and logic puzzles and goes on to reveal the rich history of these puzzles. He shows how Carroll's puzzles presented Aristotelian logic as a game for children, yet also informed his scholarly work on logic. He reveals how another pioneer of logic puzzles, Raymond Smullyan, drew on classic puzzles about liars and truthtellers to illustrate Kurt Gödel's theorems and illuminate profound questions in mathematical logic. Rosenhouse then presents a new vision for the future of logic puzzles based on nonclassical logic, which is used today in computer science and automated reasoning to manipulate large and sometimes contradictory sets of data. Featuring a wealth of sample puzzles ranging from simple to extremely challenging, this lively and engaging book brings together many of the most ingenious puzzles ever devised, including the "Hardest Logic Puzzle Ever," metapuzzles, paradoxes, and the logic puzzles in detective stories.
What's your favorite game to play? Making a game is a creative, logical, even scientific activity! In Game Logic: Level Up and Create Your Own Games with Science Activities for Kids, middle schoolers learn how games work and even design their own games. Hands-on gaming projects, essential questions, links to primary sources, and more get kids thinking analytically about the games they love.
A central aim and ever-lasting dream of computer science is to put the development of hardware and software systems on a mathematical basis which is both firm and practical. Such a scientific foundation is needed especially for the construction of reactive programs, like communication protocols or control systems. For the construction and analysis of reactive systems an elegant and powerful theory has been developed based on automata theory, logical systems for the specification of nonterminating behavior, and infinite two-person games. The 19 chapters presented in this multi-author monograph give a consolidated overview of the research results achieved in the theory of automata, logics, and infinite games during the past 10 years. Special emphasis is placed on coherent style, complete coverage of all relevant topics, motivation, examples, justification of constructions, and exercises.
Whats the verdict? These challenging conundrums give wannabe attorneys the edge they need to succeed! Every game contains a scenario plus several related questions that help prospective legal eagles sharpen their reasoning skills and powers of logic. So grab a study buddy, rev up your sense of justice, and start solving. We rest our case . . . so you can win yours!
Make math fun with amazing brain-teasing puzzles! Hours of enjoyment while developing critical thinking skills. Developing critical thinking skills has never been more fun with Train Your Brain: Math Games. Kids will be introduced to math principles through engaging and entertaining mind-bending activities! OVER 50 BRAIN-TEASING PUZZLES: Hours of activities to enjoy! GAMES FOR EVERY BRAIN: Offering a wide variety of puzzles and brain twisters, including word problems, number puzzles, sequence challenges, matching puzzles, grid games, and more! ANSWER KEY: Solutions to every puzzle are provided in the back of the book. SERIES FUN: Collect all titles in this brand-new series with Train Your Brain: Logic Games and more to come!
Manhattan Prep’s LSAT Logic Games guide, fully updated for the digital exam, is an essential tool for the LSAT section that everyone loves to hate. Manhattan Prep’s LSAT guides use officially-released LSAT questions and are written by the company’s instructors, who have all scored a 172 or higher on the official LSAT—we know how to earn a great score and we know how to teach you to do the same. This guide will train you to approach LSAT logic games as a 99th-percentile test-taker does: Recognize every type of game Make valid inferences Diagram quickly and accurately Predict correct answers and spot trap answers Take advantage of the digital format to work quickly and strategically You will have access to many practice problems and extensive solutions: Timed drill sets made up of real LSAT questions to help you absorb and apply what you’ve learned In-depth solutions, including hand-drawn diagrams and step-by-step analysis
"The best resource for practicing PowerScore's famous Logic Games methods!"