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- W2604959702 abstract "The known proofs of (textsf {MA}subseteq textsf {PP}) incur a quadratic overhead in the running time. We prove that this quadratic overhead is necessary for black-box simulations; in particular, we obtain an oracle relative to which ({textsf {MA}text {-}textsf {TIME}(t)not subseteq textsf {P}text {-}textsf {TIME}(o(t^2))}). We also show that 2-sided-error Merlin–Arthur games can be simulated by 1-sided-error Arthur–Merlin games with quadratic overhead. We also present a simple, query complexity based proof (provided by Mika Goos) that there is an oracle relative to which (textsf {MA}not subseteq textsf {NP}^textsf {BPP}) (which was previously known to hold by a proof using generics)." @default.
- W2604959702 created "2017-04-14" @default.
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- W2604959702 date "2018-01-01" @default.
- W2604959702 modified "2023-09-27" @default.
- W2604959702 title "Quadratic Simulations of Merlin–Arthur Games" @default.
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- W2604959702 doi "https://doi.org/10.1007/978-3-319-77404-6_62" @default.
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