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Probabilistic variants of depth-k storage automata

Develop and analyze probabilistic variants of nondeterministic depth-k storage automata (k-sna’s), and characterize their computational power and structural properties, possibly including auxiliary versions under polynomial time and logarithmic work space bounds.

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Background

Prior work has explored probabilistic limited automata (a different but related memory-restricted model). The present paper suggests extending such probabilistic analysis to storage automata with depth-bounded rewriting.

This open question calls for formulating probabilistic k-sna’s and investigating their distinct capabilities and limitations.

References

For future research, we wish to list eight key open questions associated with aux-$k$-sna's and $k$-cascading circuits. The probabilistic variant of Hibbard's limited automata was discussed extensively in . It is of importance to look into a similar probabilistic variant of $k$-sna's and explore its characteristic features for a better understanding of storage automata.

Nondeterministic Auxiliary Depth-Bounded Storage Automata and Semi-Unbounded Fan-in Cascading Circuits (2412.09186 - Yamakami, 12 Dec 2024) in Section 7 (Brief Discussions and Future Research Directions), Item 4