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Construction with parallel derivatives of the closure of a parallel program schema

Published: 30 April 1974 Publication History

Abstract

The parallel derivative of a set of strings is introduced. Given a serial, repetition-free parallel program schema, its closure is constructed by taking parallel derivatives of its set of computations. The construction resembles the construction of a state diagram from a regular expression by means of derivatives.

References

[1]
R. E. Miller, "A Comparison of Some Theoretical Models of Parallel Computation," IEEE Trans. on Comp, Vol. C-22 No. 8 (Aug.1973), 710-717.
[2]
R. M. Keller, "Parallel Program Schemata and Maximal Parallelism," JACM 20, 3 (July, 1973) 514-537 and JACM 20,4 (October, 1973) 696-710.
[3]
J. A. Brzozowski, "Derivatives of Regular Expressions," JACM 11, 4 (October, 1964) 481-494
[4]
D. N. Arden, "Delayed-Logic and Finite-State Machines," Proc. 2nd Annual Symp. on Switching Cir. Theory and Logical Design (1941) 133-151. Also in Theory of Computing Machine Design, U. of Mich. Press (1960), 1-35.

Cited By

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  • (1981)A Hard Programmable Control Unit Design Using VLSI TechnologyIEEE Transactions on Computers10.1109/TC.1981.167569830:10(800-810)Online publication date: 1-Oct-1981
  • (1979)Determinacy and maximal parallelism in a structured model of parallel computationCalcolo10.1007/BF0257593216:3(305-333)Online publication date: Sep-1979

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cover image ACM Conferences
STOC '74: Proceedings of the sixth annual ACM symposium on Theory of computing
April 1974
352 pages
ISBN:9781450374231
DOI:10.1145/800119
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

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Published: 30 April 1974

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STOC '74 Paper Acceptance Rate 35 of 95 submissions, 37%;
Overall Acceptance Rate 1,469 of 4,586 submissions, 32%

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Cited By

View all
  • (1981)A Hard Programmable Control Unit Design Using VLSI TechnologyIEEE Transactions on Computers10.1109/TC.1981.167569830:10(800-810)Online publication date: 1-Oct-1981
  • (1979)Determinacy and maximal parallelism in a structured model of parallel computationCalcolo10.1007/BF0257593216:3(305-333)Online publication date: Sep-1979

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