The 4-way deterministic tiling problem is undecidable

نویسنده

  • Ville Lukkarila
چکیده

It is shown that the (infinite) tiling problem byWang tiles is undecidable even if the given tile set is deterministic by all four corners, i.e. a tile is uniquely determined by the colors of any two adjacent edges. The reduction is done from the Turing machine halting problem and uses the aperiodic tile set of Kari and Papasoglu. © 2008 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 410  شماره 

صفحات  -

تاریخ انتشار 2009