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On the advantages of free choice: a symmetric and fully distributed solution to the dining philosophers problem
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Source Annual Symposium on Principles of Programming Languages archive
Proceedings of the 8th ACM SIGPLAN-SIGACT symposium on Principles of programming languages table of contents
Williamsburg, Virginia
Pages: 133 - 138  
Year of Publication: 1981
ISBN:0-89791-029-X
Authors
Daniel Lehmann  Hebrew University, Jerusalem, Israel
Michael O. Rabin  Hebrew University, Jerusalem, Israel
Sponsors
SIGPLAN: ACM Special Interest Group on Programming Languages
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 9,   Downloads (12 Months): 64,   Citation Count: 46
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ABSTRACT

It is shown that distributed systems of probabilistic processors are essentially more powerful than distributed systems of deterministic processors, i.e., there are certain useful behaviors that can be realized only by the former. This is demonstrated on the dining philosophers problem. It is shown that, under certain natural hypotheses, there is no way the philosophers can be programmed (in a deterministic fashion) so as to guarantee the absence of deadlock (general starvation). On the other hand, if the philosophers are given some freedom of choice one may program them to guarantee that every hungry philosopher will eat (with probability one) under any circumstances (even an adversary scheduling). The solution proposed here is fully distributed and does not involve any central memory or any process with which every philosopher can communicate.


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.

 
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Dijkstra, E. W. Hierarchical ordering of sequential processes, Operating Systems Techniques, Academic Press 1972.
 
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Francez, N. and Rodeh, M. A distributed abstract data type implemented by a probabilistic communication scheme. I.B.M. Israel Scientific Center TR-080, April 1980 (to be presented at 21st Annual Symposium on F.O.C.S., Syracuse Oct. 1980).
 
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Hoare, C. A. R. Towards a theory of parallel programming, Operating Systems Techniques, quoted above.
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Holt, R. C., Graham, G. S., Lazowska, E. D., and Scott, M. A. Structured concurrent programming with operating systems applications, Addison-Wesley 1978.
 
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Kaubisch, W. H., Perrot, R. H., and Hoare, C. A. R. Quasiparallel programming. Software and Experience, Vol. 6 1976, pp. 341-356.
 
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Lamport, L. Private communication, 1978.
 
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Rabin, M. O. Theoretical impediments to artificial intelligence, Information Processing 74 (Jack L. Rosenfeld ed.), pp. 615-619.
 
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Rabin, M. O. N-process synchronization by 4.logN-valued shared variable, Technical Report Forschungsinstitut fuer mathematik, ETH Zuerich, March 1980, 21st Annual F.O.C.S. Symposium (1980).
 
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Rabin, M. O. The choice coordination problem Memorandum No. UCB/ERL M80/38, Univ. of Calif. Berkeley, August 1980.

CITED BY  46
Collaborative Colleagues:
Daniel Lehmann: colleagues
Michael O. Rabin: colleagues