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Author (up) Goles, E.; Maldonado, D.; Montealegre, P.; Ollinger, N. doi  openurl
  Title On the complexity of the stability problem of binary freezing totalistic cellular automata Type
  Year 2020 Publication Information And Computation Abbreviated Journal Inf. Comput.  
  Volume 274 Issue Pages 21 pp  
  Keywords Cellular automata; Computational complexity; Freezing cellular automata; Totalistic cellular automata; Fast parallel algorithms; P-Complete  
  Abstract In this paper we study the family of two-state Totalistic Freezing Cellular Automata (TFCA) defined over the triangular and square grids with von Neumann neighborhoods. We say that a Cellular Automaton is Freezing and Totalistic if the active cells remain unchanged, and the new value of an inactive cell depends only on the sum of its active neighbors. We classify all the Cellular Automata in the class of TFCA, grouping them in five different classes: the Trivial rules, Turing Universal rules, Algebraic rules, Topological rules and Fractal Growing rules. At the same time, we study in this family the STABILITY problem, consisting in deciding whether an inactive cell becomes active, given an initial configuration. We exploit the properties of the automata in each group to show that: For Algebraic and Topological Rules the STABILITY problem is in NC. For Turing Universal rules the STABILITY problem is P-Complete. (C) 2020 Elsevier Inc. All rights reserved.  
  Address [Goles, Eric; Montealegre, Pedro] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email:;  
  Corporate Author Thesis  
  Publisher Academic Press Inc Elsevier Science Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0890-5401 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000573267700008 Approved  
  Call Number UAI @ alexi.delcanto @ Serial 1238  
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