|
ABSTRACT
A new probabilistic symmetric solution to the n processes mutual exclusion problem is presented. The algorithm is verified formally using the extreme fairness approach to probabilistic verification.
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
|
Burns, J.E., M.J. Fischer, P. Jackson, N.A. Lynch and G.L. Peterson, Shared Data Requirements for Imolementatin of Mutual Exclusion Using a Test-and-Set Primitive, in Proc. Intr. Conf. on Parallel Processing, 1978, 79-87.
|
| |
2
|
Cohen, S.D. Lehmann and A. Pnueli, Symmetric and Economical Solution to the Mutual Exclusion Problem in Distributed Systems, The Hebrew University, Jerusalem, Aug. 1882.
|
| |
3
|
Feller, W., An Introduction to Probability Theory and its application, Wiley International edition, 3rd edition, Vol. 1 Ch. XIII Section 7 pp. 322-324.
|
 |
4
|
|
| |
5
|
Itai, A. and M. Rodeh, The Lord of the Ring, or Probabilistic Methods for Breaking Symmetry in Distributive Networks, RJ 3110, IBM, San Jose, 1981.
|
 |
6
|
|
| |
7
|
Lehmann, D. and S. Shelah, Reasoning with Time and Chance, Institute of Mathematics, The Hebrew University, Jerusalem, Oct. 1982.
|
| |
8
|
|
| |
9
|
Manna, Z. and A. Pnueli, Verification of Concurrent Programs: A Temporal Proof System, in Prof. 4th School on Advanced Programming, Amsterdam, June 1982.
|
 |
10
|
|
 |
11
|
|
 |
12
|
|
| |
13
|
Rabin, M.O., Probabilistic Algorithms, in Algorithms and Complexity, New Directions and Recent Results, Academic Press, NY, 1976.
|
| |
14
|
Rabin, M.O., N-process Synchronization by 4log N-valued Shared Variables, in Tech Report Forschungs-institute fur Mathmatik, ETH, Zurich, Mar. 1980.
|
| |
15
|
Rabin, M.O., The Choice Coordination Problem, Acta Informatica 17, (1982), 121-134.
|
| |
16
|
Sharir, M. and S. Hart, Probabilistic Temporal Logics for Finite and Bounded Models, Tel-Aviv University, Tel-Aviv, Feb. 1983.
|
| |
17
|
Zuck, L. and A. Pnueli, Verification of Concurrent Probabilistic Protocols, in Tech. Report, Dept. of Appl Math., Weizmann Institute of Science, Rehovot, Israel, 1983.
|
|