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 | |
| State | 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
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
}
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
ER -