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One hundred prisoners and a light bulb

Ditmarsch, Hans van.

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One hundred prisoners and a light bulb

Record Type:	Electronic resources : Monograph/item
Title/Author:	One hundred prisoners and a light bulb/ by Hans van Ditmarsch, Barteld Kooi.
Author:	Ditmarsch, Hans van.
other author:	Kooi, Barteld.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	ix, 188 p. :ill., digital ;24 cm.
[NT 15003449]:	Consecutive numbers -- Hangman -- Muddy Children -- Monty Hall -- Russian Cards -- Who Has the Sum?- Sum and Product -- Two Envelopes -- One Hundred Prisoners and a Light Bulb -- Gossip -- Cluedo -- Overview Dynamic Epistemic Logic -- Answers.
Contained By:	Springer eBooks
Subject:	Logic puzzles. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-16694-0
ISBN:	9783319166940 (electronic bk.)

One hundred prisoners and a light bulb
Ditmarsch, Hans van.

One hundred prisoners and a light bulb[electronic resource] /by Hans van Ditmarsch, Barteld Kooi. - Cham :Springer International Publishing :2015. - ix, 188 p. :ill., digital ;24 cm.

Consecutive numbers -- Hangman -- Muddy Children -- Monty Hall -- Russian Cards -- Who Has the Sum?- Sum and Product -- Two Envelopes -- One Hundred Prisoners and a Light Bulb -- Gossip -- Cluedo -- Overview Dynamic Epistemic Logic -- Answers.

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. Alternatively, more advanced students and their teachers will find it to be a valuable reference text for introductory course work and further study.

ISBN: 9783319166940 (electronic bk.)

Standard No.: 10.1007/978-3-319-16694-0doiSubjects--Topical Terms:

2157929
Logic puzzles.

LC Class. No.: QA95

Dewey Class. No.: 793.74

One hundred prisoners and a light bulb
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245 1 0 $a One hundred prisoners and a light bulb $h [electronic resource] / $c by Hans van Ditmarsch, Barteld Kooi.
260 $a Cham : $b Springer International Publishing : $b Imprint: Copernicus, $c 2015.
300 $a ix, 188 p. : $b ill., digital ; $c 24 cm.
505 0 $a Consecutive numbers -- Hangman -- Muddy Children -- Monty Hall -- Russian Cards -- Who Has the Sum?- Sum and Product -- Two Envelopes -- One Hundred Prisoners and a Light Bulb -- Gossip -- Cluedo -- Overview Dynamic Epistemic Logic -- Answers.
520 $a 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. Alternatively, more advanced students and their teachers will find it to be a valuable reference text for introductory course work and further study.
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650 0 $a Logic, Symbolic and mathematical $3 962601
650 1 4 $a Popular Science. $3 891058
650 2 4 $a Popular Science in Mathematics. $3 2088802
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650 2 4 $a Mathematical Logic and Formal Languages. $3 892517
650 2 4 $a Mathematical Logic and Foundations. $3 892656
700 1 $a Kooi, Barteld. $3 2157928
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-16694-0
950 $a Mathematics and Statistics (Springer-11649)