One-way bounded cellular automata

A Time Hierarchy for Bounded One-Way Cellular Automata

Space-bounded one-way cellular language acceptors (OCA) are investigated. The only inclusion known to be strict in their time hierarchy from real-time to exponential-time is between real-time and linear-time! We show the surprising result that there exists an infinite hierarchy of properly included OCA-language families in that range. A generalization of a method in [10] is shown that provides ...

Fast one-way cellular automata

Space-bounded one-way cellular language acceptors (OCA) are investigated. The only inclusion known to be strict in their time hierarchy from real-time to exponential-time is between real-time and linear-time! We show the surprising result that there exists an infinite hierarchy of properly included OCA-language families in that range. A generalization of a method in [9] is shown which provides ...

Path-Bounded One-Way Multihead Finite Automata

For each positive integer r ≥ 1, a nondeterministic machine M is r path-bounded if for any input word x, there are r computation paths of M on x. This paper investigates the accepting powers of pathbounded one-way (simple) multihead nondeterministic finite automata. It is shown that for each k ≥ 2 and r ≥ 1, there is a language accepted by an (r+1) path-bounded one-way nondeterministic k head f...

Complexity of One-Way Cellular Automata

The Size of One-Way Cellular Automata

We investigate the descriptional complexity of basic operations on real-time one-way cellular automata with an unbounded as well well as a fixed number of cells. The size of the automata is measured by their number of states. Most of the bounds shown are tight in the order of magnitude, that is, the sizes resulting from the effective constructions given are optimal with respect to worst case co...