Trade Offs Between Depth And Width in Parallel Computation
Trade Offs Between Depth And Width in Parallel Computation
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T. F {x)^f {y). This contradicts lemma 2. 2. Therefore 7'{ 7 + 1)/ 2 3^ /b, so r = n(V;G' ). • 2. 3. Lower Bounds for the CREW PRAM(l) Consider the OR function of n bits. As mentioned earlier, the OR is just 1- sensitive everywhere, so the results in the previous subsection imply only a con- stant time lower bound for it on the CRCW PRAM(l). Indeed, there is a two-step algorithm for the OR on this model as follows. In the first step, the common memory cell C is initialized with "O". In the seco...nd step, a processor Pi reads the ith input position and writes a '1' into C ifT the value it read was ' 1".
It is clear why this edgorithm is not valid for a CREW PRAM. Note, however, that if the domain consists only of inputs which have at most one position con- taining a '1', a write conflict cannot occur, and the algorithm is valid for the CREW PRAM. For this reason we will restrict ourselves here to functions with a full domain (i. E. I=E"). The mean result in this subsection is: Theorem 2.
What to read after Trade Offs Between Depth And Width in Parallel Computation?
You can find similar books in the "Read Also" column, or choose other free books by U Vishkin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
T. F {x)^f {y). This contradicts lemma 2. 2. Therefore 7'{ 7 + 1)/ 2 3^ /b, so r = n(V;G' ). • 2. 3. Lower Bounds for the CREW PRAM(l) Consider the OR function of n bits. As mentioned earlier, the OR is just 1- sensitive everywhere, so the results in the previous subsection imply only a con- stant time lower bound for it on the CRCW PRAM(l). Indeed, there is a two-step algorithm for the OR on this model as follows. In the first step, the common memory cell C is initialized with "O". In the seco...nd step, a processor Pi reads the ith input position and writes a '1' into C ifT the value it read was ' 1".
It is clear why this edgorithm is not valid for a CREW PRAM. Note, however, that if the domain consists only of inputs which have at most one position con- taining a '1', a write conflict cannot occur, and the algorithm is valid for the CREW PRAM. For this reason we will restrict ourselves here to functions with a full domain (i. E. I=E"). The mean result in this subsection is: Theorem 2.
What to read after Trade Offs Between Depth And Width in Parallel Computation?
You can find similar books in the "Read Also" column, or choose other free books by U Vishkin to read onlineMoreLess
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