Inkdot versus Pebble over Two-Dimensional Languages

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Abstract

This paper investigates a relationship between inkdot and one-pebble for two-dimensional finite automata (2-fa's). Especially we show that (1) alternating inkdot 2-fa's are more powerful than nondeterministic one-pebble 2-fa's, and (2) there is a set accepted by an alternating inkdot 2-fa, but not accepted by any alternating one-pebble 2-fa with only universal states.

identifier:https://dspace.jaist.ac.jp/dspace/handle/10119/4692

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