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This paper introduces two-dimensional probabilistic Turing machines (2-ptm's), and investigates several properties of them. We first investigate a relationship between two-dimensional alternating finite automata (2-afa's) and 2-ptm's with error probability less than 12 and with sublogarithmic space, and show that there is a set of square tapes accepted by 2-afa, but not recognized by any o(log n)...
This paper investigates closure properties of the classes of sets recognized by space-bounded two-dimensional probabilistic Turing machines with error probability less than 12. Let 2-PTM(L(m, n)) be the class of sets recognized by L(m, n) space-bounded two-dimensional probabilistic Turing machines with error probability less than 12, where L(m, n) : N 2 -> N (N denotes the set of all the...
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