Solution to the xkcd Blue Eyes puzzle

 

Title: Solution to the xkcd Blue Eyes puzzle
Author: Jakub Kądziołka (kuba /at/ kadziolka /dot/ net)
Submission date: 2021-01-30
Abstract: In a puzzle published by Randall Munroe, perfect logicians forbidden from communicating are stranded on an island, and may only leave once they have figured out their own eye color. We present a method of modeling the behavior of perfect logicians and formalize a solution of the puzzle.
BibTeX:
@article{Blue_Eyes-AFP,
  author  = {Jakub Kądziołka},
  title   = {Solution to the xkcd Blue Eyes puzzle},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2021,
  note    = {\url{https://isa-afp.org/entries/Blue_Eyes.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.