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- W93530799 abstract "(i) There exists an NP-complete language $mathcal{L}$ such that its unary coded version un-$mathcal{L}$ is in ASpace(log log n). (ii) If P ≠ NP, there exists a binary language $mathcal{L}$ such that its unary version un-$mathcal{L}$ is in ASpace(log log n), while the language $mathcal{L}$ itself is not in ASpace(log n). As a consequence, under assumption that P ≠ NP, the standard space translation between unary and binary languages does not work for alternating machines with small space, the equivalence $mathcal{L} in$ ASpace(s(n)) ≡ un-$mathcal{L} in$ ASpace(s(log n)) is valid only if s(n)∈Ω(n). This is quite different from deterministic and nondeterministic machines, for which the corresponding equivalence holds for each s(n)∈Ω(log n), and hence for s(log n)∈Ω(log log n)." @default.
- W93530799 created "2016-06-24" @default.
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- W93530799 date "2012-01-01" @default.
- W93530799 modified "2023-09-26" @default.
- W93530799 title "Unary Coded NP-Complete Languages in ASPACE (log log n)" @default.
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- W93530799 doi "https://doi.org/10.1007/978-3-642-31653-1_16" @default.
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