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Smullyan's Vizier Problem

Authors: Michael Khoury,;

Smullyan's Vizier Problem

Abstract

Smullyan poses a problem in the familiar genre of knights (who always tell the truth) and knaves (who never tell the truth). Although a solution of sorts is presented, evading the difficulty without confronting it, the central difficulty is by no means resolved. In this paper, I will analyze the problem and present two solutions, one of which I prove to be the most efficient algorithm to solve Smullyan's problem. Though it will later be necessary to alter the problem, for the moment let me present it exactly as Smullyan originally gave it with the following excerpt from Satan, Cantor and Infinity, in which the character Alexander meets with King Zorn after deducing the location of his kidnapped love, the princess Annabelle.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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