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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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