### 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) |
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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 | |

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) |
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Volume | 380 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 7th International Conference on Fundamentals of Computation Theory, FCT 1989 |
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Country | Hungary |

City | Szeged |

Period | 8/21/89 → 8/25/89 |

### Fingerprint

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*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