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One Hundred Prisoners And A Light Bulb


One Hundred Prisoners And A Light Bulb
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One Hundred Prisoners And A Light Bulb


One Hundred Prisoners And A Light Bulb
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Author : Hans van Ditmarsch
language : en
Publisher: Springer
Release Date : 2015-07-09

One Hundred Prisoners And A Light Bulb written by Hans van Ditmarsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-09 with Mathematics categories.


A group of 100 prisoners, all together in the prison dining area, are told that they will be all put in isolation cells and then will be interrogated one by one in a room containing a light with an on/off switch. The prisoners may communicate with one another by toggling the light switch (and that is the only way in which they can communicate). The light is initially switched off. There is no fixed order of interrogation, or interval between interrogations, and the same prisoner may be interrogated again at any stage. When interrogated, a prisoner can either do nothing, or toggle the light switch, or announce that all prisoners have been interrogated. If that announcement is true, the prisoners will (all) be set free, but if it is false, they will all be executed. While still in the dining room, and before the prisoners go to their isolation cells (forever), can the prisoners agree on a protocol that will set them free? At first glance, this riddle may seem impossible to solve: how can all of the necessary information be transmitted by the prisoners using only a single light bulb? There is indeed a solution, however, and it can be found by reasoning about knowledge. This book provides a guided tour through eleven classic logic puzzles that are engaging and challenging and often surprising in their solutions. These riddles revolve around the characters’ declarations of knowledge, ignorance, and the appearance that they are contradicting themselves in some way. Each chapter focuses on one puzzle, which the authors break down in order to guide the reader toward the solution. For general readers and students with little technical knowledge of mathematics, One Hundred Prisoners and a Light Bulb will be an accessible and fun introduction to epistemic logic. Additionally, more advanced students and their teachers will find it to be a valuable reference text for introductory course work and further study.



Can You Solve My Problems Ingenious Perplexing And Totally Satisfying Math And Logic Puzzles Alex Bellos Puzzle Books


Can You Solve My Problems Ingenious Perplexing And Totally Satisfying Math And Logic Puzzles Alex Bellos Puzzle Books
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Author : Alex Bellos
language : en
Publisher: The Experiment, LLC
Release Date : 2017-03-21

Can You Solve My Problems Ingenious Perplexing And Totally Satisfying Math And Logic Puzzles Alex Bellos Puzzle Books written by Alex Bellos and has been published by The Experiment, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-21 with Games & Activities categories.


Puzzle lovers, rejoice! Bestselling math writer Alex Bellos has a challenge for you: 125 of the world’s best brainteasers from the last two millennia. Armed with logic alone, you’ll detect counterfeit coins, navigate river crossings, and untangle family trees. Then—with just a dash of high school math—you’ll tie a rope around the Earth, match wits with a cryptic wizard, and use four 4s to create every number from 1 to 50. (It can be done!) The ultimate casebook for daring puzzlers, Can You Solve My Problems? also tells the story of the puzzle—from ancient China to Victorian England to modern-day Japan. Grab your pencil and get puzzling!



Can You Solve My Problems


Can You Solve My Problems
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Author : Alex Bellos
language : en
Publisher: The Experiment
Release Date : 2017-03-21

Can You Solve My Problems written by Alex Bellos and has been published by The Experiment this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-21 with Games & Activities categories.


Puzzle lovers, rejoice! Bestselling math writer Alex Bellos has a challenge for you: 125 of the world’s best brainteasers from the last two millennia. Armed with logic alone, you’ll detect counterfeit coins, navigate river crossings, and untangle family trees. Then—with just a dash of high school math—you’ll tie a rope around the Earth, match wits with a cryptic wizard, and use four 4s to create every number from 1 to 50. (It can be done!) The ultimate casebook for daring puzzlers, Can You Solve My Problems? also tells the story of the puzzle—from ancient China to Victorian England to modern-day Japan. Grab your pencil and get puzzling!



Mathematical And Algorithmic Puzzles


Mathematical And Algorithmic Puzzles
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Author : Pramod Ganapathi
language : en
Publisher:
Release Date : 2024-05-29

Mathematical And Algorithmic Puzzles written by Pramod Ganapathi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-29 with Computers categories.


This book presents serious mathematical and algorithmic puzzles that are mostly counterintuitive. The presented puzzles are simultaneously entertaining, challenging, intriguing, and haunting. This book introduces its readers to counterintuitive mathematical ideas and revolutionary algorithmic insights from a wide variety of topics. The presented solutions that are discovered by many mathematicians and computer scientists are highly counterintuitive and show supreme mathematical beauty. These counterintuitive solutions are intriguing to the degree that they shatter our preconceived notions, shake our long-held belief systems, debunk our fundamental intuitions, and finally rob us of sleep and haunt us for a lifetime. Multiple ways of attacking the same puzzle are presented which teach the application of elegant problem-solving strategies.



Gazette Australian Mathematical Society


Gazette Australian Mathematical Society
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Author : Australian Mathematical Society
language : en
Publisher:
Release Date : 2006

Gazette Australian Mathematical Society written by Australian Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.




Declarative Agent Languages And Technologies Viii


Declarative Agent Languages And Technologies Viii
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Author : Andrea Omicini
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-26

Declarative Agent Languages And Technologies Viii written by Andrea Omicini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-26 with Computers categories.


This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on Declarative Agent Languages and Technologies, DALT 2010, held in Toronto, Canada, on May 10, 2010, as a satellite workshop of the 9th International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS 2010. The 7 revised full papers presented together with 4 invited lectures were carefully selected during two rounds of reviewing and improvement from 24 initial submissions. DALT aims to make formal methods and declarative technologies and approaches available to and understood by a broader segment of the multi-agent research community; the papers are organized in topical sections on BDI rational agents, communication, coordination and negotiation, as well as social aspects and control systems.



Bnaic 2016 Artificial Intelligence


Bnaic 2016 Artificial Intelligence
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Author : Tibor Bosse
language : en
Publisher: Springer
Release Date : 2017-09-14

Bnaic 2016 Artificial Intelligence written by Tibor Bosse and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-14 with Computers categories.


This book contains a selection of the best papers that were presented at the 28th edition of the annual Benelux Conference on Artificial Intelligence, BNAIC 2016. The conference took place on November 10-11, 2016, in Hotel Casa 400 in Amsterdam. The conference was jointly organized by the University of Amsterdam and the Vrije Universiteit Amsterdam, under the auspices of the Benelux Association for Artificial Intelligence (BNVKI) and the Dutch Research School for Information and Knowledge Systems (SIKS). The objective of BNAIC is to promote and disseminate recent research developments in Artificial Intelligence, particularly within Belgium, Luxembourg and the Netherlands, although it does not exclude contributions from countries outside the Benelux. The 13 contributions presented in this volume (8 regular papers, 4 student papers, and 1 demonstration paper) were carefully reviewed and selected from 93 submissions. They address various aspects of artificial intelligence such as natural language processing, agent technology, game theory, problem solving, machine learning, human-agent interaction, AI & education, and data analysis.



Interactive Theorem Proving


Interactive Theorem Proving
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Author : Jeremy Avigad
language : en
Publisher: Springer
Release Date : 2018-07-03

Interactive Theorem Proving written by Jeremy Avigad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-03 with Mathematics categories.


This book constitutes the refereed proceedings of the 9th International Conference on Interactive Theorem Proving, ITP 2018, held in Oxford, UK, in July 2018. The 32 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions. The papers feature research in the area of logical frameworks and interactive proof assistants. The topics include theoretical foundations and implementation aspects of the technology, as well as applications to verifying hardware and software systems to ensure their safety and security, and applications to the formal verication of mathematical results. Chapters 2, 10, 26, 29, 30 and 37 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.



Dynamic Logic New Trends And Applications


Dynamic Logic New Trends And Applications
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Author : Alexandre Madeira
language : en
Publisher: Springer
Release Date : 2017-12-30

Dynamic Logic New Trends And Applications written by Alexandre Madeira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-30 with Computers categories.


This book constitutes the proceedings of the First International Workshop on Dynamic Logic, DALI 2017, held in Brasilia, Brazil, in September 2017. Both its theoretical relevance and practical potential make Dynamic Logic a topic of interest in a number of scientific venues, from wide-scope software engineering conferences to modal logic specific events. The workshop is promoted by an R&D project on dynamic logics for cyber-physical systems. The 12 full papers presented in this volume were carefully reviewed and selected from 25 submissions. The workshop is based on the project DaLí – Dynamic logics for cyber-physical systems: towards contract based design.



Logic Rationality And Interaction


Logic Rationality And Interaction
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Author : Sujata Ghosh
language : en
Publisher: Springer Nature
Release Date : 2021-10-03

Logic Rationality And Interaction written by Sujata Ghosh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-03 with Philosophy categories.


This LNCS book is part of the FOLLI book series and constitutes the proceedings of the 8th International Workshop on Logic, Rationality, and Interaction, LORI 2021, held in Xi`an, China, in October 2021. The 15 full papers presented together with 7 short papers in this book were carefully reviewed and selected from 40 submissions. The workshop covers a wide range on the following topics such as doxastic and epistemic logics, deontic logic, intuitionistic and subsstructural logics, voting theory, and (a new theme emphasized this year) causal inference.