Abstract

The purpose of this paper is to propose a new type of acceptor on a two-dimensional tape, called a “two-dimensional multipass on-line tessellation acceptor” (denoted by “2-mpota”), and to examine some properties of the 2-mpota. It is shown that (1) nondeterministic 2-mpota's with the property that the sizes of the input and output tapes in each pass are the same, are equivalent to nondeterministic rectangular array bounded automata, and (2) nondeterministic 2-mpota's which are permitted to have an enlarged output tape in each pass are equivalent to nondeterministic Turing rectangular array automata.

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