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Parallelism in random access machines
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the tenth annual ACM symposium on Theory of computing table of contents
San Diego, California, United States
Pages: 114 - 118  
Year of Publication: 1978
Authors
Sponsors
ACM: Association for Computing Machinery
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 12,   Downloads (12 Months): 101,   Citation Count: 110
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ABSTRACT

A model of computation based on random access machines operating in parallel and sharing a common memory is presented. The computational power of this model is related to that of traditional models. In particular, deterministic parallel RAM's can accept in polynomial time exactly the sets accepted by polynomial tape bounded Turing machines; nondeterministic RAM's can accept in polynomial time exactly the sets accepted by nondeterministic exponential time bounded Turing machines. Similar results hold for other classes. The effect of limiting the size of the common memory is also considered.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Barnes, G.H., et.al. "The ILLIAC IV Computer", IEEE Trans. Computers. C-17 (Aug. 1968), pp. 746-757.
 
2
Chandra, A.K. and L.J. Stockmeyer. "Alteration", Proc. of the 17th Annual IEEE Symposium on Foundations of Computer Science, Houston, Texas, Oct. 1976, pp. 98-108.
 
3
Cook, S.A. and R.A. Reckhow. "Time Bounded Random Access Machines", JCSS 7 (1973),pp. 354-375.
 
4
Csanky, L. "Fast Parallel Matrix Inversion Algorithms", Proc. of the 16th Annual Symposium on Foundations of Computer Science, Berkeley, California, Oct. 1975, pp. 11-12.
 
5
Hartmanis, J. and J. Simon. "On the Power of Multiplication in Random Access Machines", Proc. of the 15th Annual IEEE Symposium on Switching and Automata Theory, New Orleans, Oct. 1974, pp. 13-23.
6
 
7
Kogge, P.M. "Parallel Solution of Recurrence Problems", IBM J. Res. Develop. 18 (March 1974), pp. 138-148.
 
8
Kozen, D. "On Parallelism in Turing Machines", Proc. of the 17th Annual IEEE Symposium on Foundations of Computer Science, Houston, Texas, Oct. 1976, pp. 89-97.
 
9
Pratt, V.R. and L.J. Stockmeyer. "A Characterization of the Power of Vector Machines", JCSS 12 (1976), pp. 198-221.
 
10
Savitch, W.J. "Relationships between Non-deterministic and Deterministic Tape Complexities", JCSS 4 (1970), pp. 177-192.
 
11
Savitch, W.J. and M.J. Stimson. "Time Bounded Random Access Machines with Parallel Processing", Sept. 1976, (revised Aug. 1977)., technical report, Dept. APIS, University of California, San Diego, 78-CS-011.
 
12
Savitch, W.J. "Parallel and Nondeterministic Time Complexity Classes", November 1977, technical report, Dept. APIS, University of California, San Diego, 78-CS-012.

CITED BY  110

Collaborative Colleagues:
Steven Fortune: colleagues
James Wyllie: colleagues