New simulations between CRCW PRAMs

Bogdan S. Chlebus; Krzysztof Diks; Torben Hagerup; Tomasz Radzik

doi:10.1007/3-540-51498-8_9

New simulations between CRCW PRAMs

Bogdan S. Chlebus, Krzysztof Diks, Torben Hagerup, Tomasz Radzik

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

21 Scopus citations

Abstract

This paper is part of a continued investigation of the relative power of different variants of the CRCW PRAM with infinite global memory. The models that we consider are the standard Priority and Common PRAMs, together with the less well-known Collision⁺ and Tolerant PRAMs. We describe several new results for the simulation of an n-processor Priority PRAM on weaker machines:(1)on an n-processor Tolerant PRAM: Slowdown O(√logn) (2) on an n-processor Collision⁺ PRAM: Slowdown O(log log n log⁽³⁾n);(3)on a Common PRAM with kn processors (k≤log n/2): Slowdown O(log n/(k log(log n/k)));(4)on a Tolerant PRAM with kn processors (2≤k≤log n): Slowdown O(log n/log k);(5)on a randomized n-processor Collision⁺ PRAM: Expected slowdown O(log log n).

Original language	English (US)
Title of host publication	Fundamentals of Computation Theory - International Conference, FCT 1989, Proceedings
Editors	Janos Demetrovics, Janos Csirik, Ferenc Gecseg
Publisher	Springer Verlag
Pages	95-104
Number of pages	10
ISBN (Print)	9783540514985
DOIs	https://doi.org/10.1007/3-540-51498-8_9
Publication status	Published - Jan 1 1989
Externally published	Yes
Event	7th International Conference on Fundamentals of Computation Theory, FCT 1989 - Szeged, Hungary Duration: Aug 21 1989 → Aug 25 1989

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	380 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	7th International Conference on Fundamentals of Computation Theory, FCT 1989
Country	Hungary
City	Szeged
Period	8/21/89 → 8/25/89

Fingerprint

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Cite this

Chlebus, B. S., Diks, K., Hagerup, T., & Radzik, T. (1989). New simulations between CRCW PRAMs. In J. Demetrovics, J. Csirik, & F. Gecseg (Eds.), Fundamentals of Computation Theory - International Conference, FCT 1989, Proceedings (pp. 95-104). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 380 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-51498-8_9

New simulations between CRCW PRAMs. / Chlebus, Bogdan S.; Diks, Krzysztof; Hagerup, Torben; Radzik, Tomasz.

Fundamentals of Computation Theory - International Conference, FCT 1989, Proceedings. ed. / Janos Demetrovics; Janos Csirik; Ferenc Gecseg. Springer Verlag, 1989. p. 95-104 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 380 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chlebus, BS, Diks, K, Hagerup, T & Radzik, T 1989, New simulations between CRCW PRAMs. in J Demetrovics, J Csirik & F Gecseg (eds), Fundamentals of Computation Theory - International Conference, FCT 1989, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 380 LNCS, Springer Verlag, pp. 95-104, 7th International Conference on Fundamentals of Computation Theory, FCT 1989, Szeged, Hungary, 8/21/89. https://doi.org/10.1007/3-540-51498-8_9

Chlebus BS, Diks K, Hagerup T, Radzik T. New simulations between CRCW PRAMs. In Demetrovics J, Csirik J, Gecseg F, editors, Fundamentals of Computation Theory - International Conference, FCT 1989, Proceedings. Springer Verlag. 1989. p. 95-104. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/3-540-51498-8_9

Chlebus, Bogdan S. ; Diks, Krzysztof ; Hagerup, Torben ; Radzik, Tomasz. / New simulations between CRCW PRAMs. Fundamentals of Computation Theory - International Conference, FCT 1989, Proceedings. editor / Janos Demetrovics ; Janos Csirik ; Ferenc Gecseg. Springer Verlag, 1989. pp. 95-104 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{62e1dc27f0704b8bbe69a016a7746420,

title = "New simulations between CRCW PRAMs",

abstract = "This paper is part of a continued investigation of the relative power of different variants of the CRCW PRAM with infinite global memory. The models that we consider are the standard Priority and Common PRAMs, together with the less well-known Collision+ and Tolerant PRAMs. We describe several new results for the simulation of an n-processor Priority PRAM on weaker machines:(1)on an n-processor Tolerant PRAM: Slowdown O(√logn) (2) on an n-processor Collision+ PRAM: Slowdown O(log log n log(3)n);(3)on a Common PRAM with kn processors (k≤log n/2): Slowdown O(log n/(k log(log n/k)));(4)on a Tolerant PRAM with kn processors (2≤k≤log n): Slowdown O(log n/log k);(5)on a randomized n-processor Collision+ PRAM: Expected slowdown O(log log n).",

author = "Chlebus, {Bogdan S.} and Krzysztof Diks and Torben Hagerup and Tomasz Radzik",

year = "1989",

month = "1",

day = "1",

doi = "10.1007/3-540-51498-8_9",

language = "English (US)",

isbn = "9783540514985",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "95--104",

editor = "Janos Demetrovics and Janos Csirik and Ferenc Gecseg",

booktitle = "Fundamentals of Computation Theory - International Conference, FCT 1989, Proceedings",

note = "7th International Conference on Fundamentals of Computation Theory, FCT 1989 ; Conference date: 21-08-1989 Through 25-08-1989",

}

TY - GEN

T1 - New simulations between CRCW PRAMs

AU - Chlebus, Bogdan S.

AU - Diks, Krzysztof

AU - Hagerup, Torben

AU - Radzik, Tomasz

PY - 1989/1/1

Y1 - 1989/1/1

N2 - This paper is part of a continued investigation of the relative power of different variants of the CRCW PRAM with infinite global memory. The models that we consider are the standard Priority and Common PRAMs, together with the less well-known Collision+ and Tolerant PRAMs. We describe several new results for the simulation of an n-processor Priority PRAM on weaker machines:(1)on an n-processor Tolerant PRAM: Slowdown O(√logn) (2) on an n-processor Collision+ PRAM: Slowdown O(log log n log(3)n);(3)on a Common PRAM with kn processors (k≤log n/2): Slowdown O(log n/(k log(log n/k)));(4)on a Tolerant PRAM with kn processors (2≤k≤log n): Slowdown O(log n/log k);(5)on a randomized n-processor Collision+ PRAM: Expected slowdown O(log log n).

AB - This paper is part of a continued investigation of the relative power of different variants of the CRCW PRAM with infinite global memory. The models that we consider are the standard Priority and Common PRAMs, together with the less well-known Collision+ and Tolerant PRAMs. We describe several new results for the simulation of an n-processor Priority PRAM on weaker machines:(1)on an n-processor Tolerant PRAM: Slowdown O(√logn) (2) on an n-processor Collision+ PRAM: Slowdown O(log log n log(3)n);(3)on a Common PRAM with kn processors (k≤log n/2): Slowdown O(log n/(k log(log n/k)));(4)on a Tolerant PRAM with kn processors (2≤k≤log n): Slowdown O(log n/log k);(5)on a randomized n-processor Collision+ PRAM: Expected slowdown O(log log n).

UR - http://www.scopus.com/inward/record.url?scp=85027619792&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85027619792&partnerID=8YFLogxK

U2 - 10.1007/3-540-51498-8_9

DO - 10.1007/3-540-51498-8_9

M3 - Conference contribution

AN - SCOPUS:85027619792

SN - 9783540514985

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 95

EP - 104

BT - Fundamentals of Computation Theory - International Conference, FCT 1989, Proceedings

A2 - Demetrovics, Janos

A2 - Csirik, Janos

A2 - Gecseg, Ferenc

PB - Springer Verlag

T2 - 7th International Conference on Fundamentals of Computation Theory, FCT 1989

Y2 - 21 August 1989 through 25 August 1989

ER -

Access to Document

10.1007/3-540-51498-8_9