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On the power of probabilistic choice in synchronous parallel computations

Publication ,  Conference
Reif, JH
Published in: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
January 1, 1982

This paper introduces probabilistic choice to synchronous parallel machine models; in particular parallel RAMs. The power of probabilistic choice in parallel computations is illustrated by parallelizing some known probabilistic sequential algorithms. We characterize the computational complexity of time, space, and processor bounded probabilistic prallel RAMs in terms of the computational complexity of probabilistic sequential RAMs. We show that parallelism uniformly speeds up time bounded probabilistic sequential RAM computations by nearly a quadratic factor. We also show that probabilistic choice can be eliminated from parallel computations by introducing nonuniformity.

Duke Scholars

Published In

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

DOI

EISSN

1611-3349

ISSN

0302-9743

Publication Date

January 1, 1982

Volume

140 LNCS

Start / End Page

442 / 450

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences
 

Citation

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Reif, J. H. (1982). On the power of probabilistic choice in synchronous parallel computations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 140 LNCS, pp. 442–450). https://doi.org/10.1007/BFb0012790
Reif, J. H. “On the power of probabilistic choice in synchronous parallel computations.” In Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 140 LNCS:442–50, 1982. https://doi.org/10.1007/BFb0012790.
Reif JH. On the power of probabilistic choice in synchronous parallel computations. In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1982. p. 442–50.
Reif, J. H. “On the power of probabilistic choice in synchronous parallel computations.” Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 140 LNCS, 1982, pp. 442–50. Scopus, doi:10.1007/BFb0012790.
Reif JH. On the power of probabilistic choice in synchronous parallel computations. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1982. p. 442–450.

Published In

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

DOI

EISSN

1611-3349

ISSN

0302-9743

Publication Date

January 1, 1982

Volume

140 LNCS

Start / End Page

442 / 450

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences