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- W148218819 abstract "In this note, we prove a version of Tarui's Theorem in communication complexity, namely $PH^{cc} subseteq BPcdot PP^{cc}$. Consequently, every measure for $PP^{cc}$ leads to a measure for $PH^{cc}$, subsuming a result of Linial and Shraibman that problems with high mc-rigidity lie outside the polynomial hierarchy. By slightly changing the definition of mc-rigidity (arbitrary instead of uniform distribution), it is then evident that the class $M^{cc}$ of problems with low mc-rigidity equals $BPcdot PP^{cc}$. As $BPcdot PP^{cc} subseteq PSPACE^{cc}$, this rules out the possibility, that had been left open, that even polynomial space is contained in $M^{cc}$." @default.
- W148218819 created "2016-06-24" @default.
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- W148218819 date "2012-05-04" @default.
- W148218819 modified "2023-09-27" @default.
- W148218819 title "A note on a problem in communication complexity" @default.
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