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- W2067885105 abstract "A counting protocol (mod m) consists of shared memory bits—referred to as the counter—and of a procedure for incrementing the counter value by 1 (mod m). The procedure may be executed by many processes concurrently. It is required to satisfy a very weak correctness requirement; namely, the counter is required to show a correct value only in quiescent states—states in which no process is incrementing the counter. Special cases of counting protocols are “counting networks”[AHS91]and “concurrent counters”[MTY92]. We consider the problem of implementing a wait-free counting protocol, assuming that the basic atomic operation of a process is a read-modify-write on a single bit. Letflip(Pr) be the maximum number of times a single increment operation changes the counter bits in a counting protocolPr. Our main result is: In any wait-free counting protocolPrwhich counts modulom, log m = ffor some integerf ≤ flip(Pr). Thus,flip(Pr) ≥ log mandmis a power of 2. By a result ofS. Moran, G. Taubenfeld, and I. Yadin (J. Comput. System Sci.53(1996), 61–78), the above lower bound onflip(Pr) is tight. This result provides interesting generalizations of lower bounds and impossibility results for counting and smoothing networks." @default.
- W2067885105 created "2016-06-24" @default.
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- W2067885105 date "1997-07-01" @default.
- W2067885105 modified "2023-09-25" @default.
- W2067885105 title "A Lower Bound on Wait-Free Counting" @default.
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- W2067885105 doi "https://doi.org/10.1006/jagm.1996.0837" @default.
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