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Abstract: In this paper we study number-decreasing cellular automata. They form a super-class of standard number-conserving cellular automata. It is well-known that the property of being number-conserving is decidable in quasi-linear time. In this paper we prove that being number-decreasing is dimension sensitive, i.e. it is decidable for one-dimensional cellular automata and undecidable for dimension 2 or greater. There are only few known examples of dimension sensitive properties for cellular automata and this denotes some rich panel of phenomena in this class. Keywords: Number-conserving cellular automata; Undecidability; Number-decreasing cellular automata Pau Fonseca, Màxim Colls, Josep Casanovas, A novel model to predict a slab avalanche configuration using m:n-CAk cellular automata, Computers, Environment and Urban Systems, Volume 35, Issue 1, January 2011, Pages 12-24, ISSN 0198-9715, 10.1016/j.compenvurbsys.2010.07.

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Spy Phone Application Android

Abstract: In this paper we study number-decreasing cellular automata. They form a super-class of standard number-conserving cellular automata. It is well-known that the property of being number-conserving is decidable in quasi-linear time. In this paper we prove that being number-decreasing is dimension sensitive, i.e. it is decidable for one-dimensional cellular automata and undecidable for dimension 2 or greater. There are only few known examples of dimension sensitive properties for cellular automata and this denotes some rich panel of phenomena in this class. Keywords: Number-conserving cellular automata; Undecidability; Number-decreasing cellular automata Pau Fonseca, Màxim Colls, Josep Casanovas, A novel model to predict a slab avalanche configuration using m:n-CAk cellular automata, Computers, Environment and Urban Systems, Volume 35, Issue 1, January 2011, Pages 12-24, ISSN 0198-9715, 10.1016/j.compenvurbsys.2010.07.

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