Shrinking and Expanding Cellular Automata

Autor:	Augusto Modanese, Thomas Worsch
Rok vydání:	2016
Předmět:	Discrete mathematics Polynomial Class (set theory) Spacetime Computer science Nonlinear Sciences::Cellular Automata and Lattice Gases Cellular automaton Decidability Turing machine symbols.namesake symbols Time complexity Computer Science::Formal Languages and Automata Theory PSPACE
Zdroj:	Cellular Automata and Discrete Complex Systems ISBN: 9783319392998 Automata
Popis:	Inspired by shrinking cellular automata (SCA), we investigate another variant of the classical one-dimensional cellular automaton: the shrinking and expanding cellular automaton (SXCA). In addition to the capability to delete some cells as in SCA, an SXCA can also create new cells between already existing ones. It is shown that there are reasonably close (polynomial) relations between the time complexity of SXCA and the space and time complexity of Turing machines and alternating Turing machines respectively. As a consequence the class of problems decidable in polynomial time by SXCA coincides with PSPACE.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::72d3da761bdceabe43eca4cd6ebeb33d https://doi.org/10.1007/978-3-319-39300-1_13 Zobrazit plný text záznamu