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- W4386880053 abstract "Lately, there have been intensive studies on strengths and limitations of nonuniform families of promise decision problems solvable by various types of polynomial-size finite automata families, where a “polynomial-size” finite automata family has polynomially-bounded state complexity. In this line of study, we further expand the scope of these studies to partial counting functions and their relevant (promise) decision problems, defined in terms of nonuniform families of polynomial-size nondeterministic finite automata. With no unproven hardness assumption, we show numerous separations and collapses of complexity classes of those counting function families and their relevant decision problem families. We also investigate their relationships to pushdown automata families of polynomial stack-state complexity." @default.
- W4386880053 created "2023-09-21" @default.
- W4386880053 creator A5085555714 @default.
- W4386880053 date "2023-01-01" @default.
- W4386880053 modified "2023-09-27" @default.
- W4386880053 title "Power of Counting by Nonuniform Families of Polynomial-Size Finite Automata" @default.
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- W4386880053 doi "https://doi.org/10.1007/978-3-031-43587-4_30" @default.
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