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Author Gajardo, A.; Goles, E.
Title Crossing information in two-dimensional Sandpiles Type
Year 2006 Publication Theoretical Computer Science Abbreviated Journal Theor. Comput. Sci.
Volume 369 Issue 1-3 Pages 463-469
Keywords Sandpile; discrete dynamical system; cellular automata; calculability; complexity
Abstract We prove that in a two-dimensional Sandpile automaton, embedded in a regular infinite planar cellular space, it is impossible to cross information, if the bit of information is the presence (or absence) of an avalanche. This proves that it is impossible to embed arbitrary logical circuits in a Sandpile through quiescent configurations. Our result applies also for the non-planar neighborhood of Moore. Nevertheless, we also show that it is possible to compute logical circuits with a two-dimensional Sandpile, if a neighborhood of radius two is used in Z(2); crossing information becomes possible in that case, and we conclude that for this neighborhood the Sandpde is P-complete and Turing universal. (c) 2006 Elsevier B.V. All rights reserved.
Address Univ Adolfo Ibanez, Santiago, Chile, Email: anahi@ing-mat.udec.cl
Corporate Author Thesis
Publisher Elsevier Science Bv Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0304-3975 ISBN Medium
Area Expedition Conference
Notes WOS:000242765000035 Approved
Call Number UAI @ eduardo.moreno @ Serial 34
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