@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",

note = "Funding Information: The PRAM is one of the most popular models of parallel computers. A PRAM consists of a collection of sequential processors numbered 1,... ,p and operating synchronously on a global memory, which in this paper will be assumed infinite. Various PRAMs have been introduced, differing in the conventions regarding concurrent reading and writing, i.e., attempts by several processors to access the same memory ce!l in the same step. CRCW (concurrent-read concurrent-write) PRAMs allow simultaneous reading from as well as simultaneous writing to each cell. Simultaneous writing is not immediately logically meaningful, and various different rules for the t Supported by the Deutsche Forschungsgemeinschaft, SFB 124, TP B2, VLSI Entwurfsmetho-den und Parallelit~it. Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1989. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.; 7th International Conference on Fundamentals of Computation Theory, FCT 1989 ; Conference date: 21-08-1989 Through 25-08-1989",

year = "1989",

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",

}