On the Power of Randomized Pushdown Automata
DLT '01 Revised Papers from the 5th International Conference on Developments in Language Theory
On the power of randomized multicounter machines
Theoretical Computer Science - Insightful theory
Pushdown automata and multicounter machines, a comparison of computation modes
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
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The investigation of the computational power of randomized computations is one of the central tasks of current complexity and algorithm theory. In this paper for the first time, a 驴strong驴 separation between the power of determinism, Las Vegas randomization, and nondeterminism for a computing model is proved. The computing model considered here are finite automata with two-dimensional input tapes (i.e., finite automata recognizing picture languages). Moreover, a hierarchy on the degree of nondeterminism of two-dimensional finite automata is established.