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A Padding Technique on Cellular Automata to Transfer Inclusions of Complexity Classes
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A Padding Technique on Cellular Automata to Transfer Inclusions of Complexity Classes

Victor Poupet
Computer Science – Theory and Applications, pp.337-348
Lecture Notes in Computer Science, Springer Berlin Heidelberg
2007

Résumé

Cellular Automaton Complexity Class Input Word Turing Machine
We will show how padding techniques can be applied on one-dimensional cellular automata by proving a transfer theorem on complexity classes (how one inclusion of classes implies others). Then we will discuss the consequences of this result, in particular when considering that all languages recognized in linear space can be recognized in linear time (whether or not this is true is still an open question), and see the implications on one-tape Turing machines.

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