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- W2130964587 abstract "A new technique for proving lower bounds for parallel computation is introduced. This technique enables us to obtain, for the first time. non-trivial tight lower bounds for shared-memory models of parallel computation that allow simultaneous read/write access to the same memory location. The size m of the common memory is called communication width or width in short. For a wide variety of problems (including parity and majority) we show that the time complexity T (depth) and the communication width m are related by the trade-off curve mT2 = Ω(n) (where n is the size of the input). This bound is tight lot every m ≤n/log2n We extend our technique to prove mT3 = Ω(n) trade-off for a class of simpler functions (includind Boolean Or) on a weaker model that forbids simultaneous write access. This result improves the lower bound of Cook and Dwork [CD-82] when communication is limited." @default.
- W2130964587 created "2016-06-24" @default.
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- W2130964587 date "1983-11-01" @default.
- W2130964587 modified "2023-09-26" @default.
- W2130964587 title "Trade-offs between depth and width in parallel computation" @default.
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- W2130964587 doi "https://doi.org/10.1109/sfcs.1983.77" @default.
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