|Author||Chaudhuri, Soma ♦ Erlihy, Maurice ♦ Lynch, Nancy A. ♦ Tuttle, Mark R.|
|Source||ACM Digital Library|
|Publisher||Association for Computing Machinery (ACM)|
|Subject Domain (in DDC)||Computer science, information & general works ♦ Data processing & computer science|
|Subject Keyword||k-set agreement ♦ Spwener's Lemma ♦ Crash failure model ♦ Message-passing systems ♦ Synchronous systems ♦ Topology|
|Abstract||We prove tight bounds on the time needed to solve <?Pub Fmt italic>k-set agreement<?Pub Fmt /italic>. In this problem, each processor starts with an arbitrary input value taken from a fixed set, and halts after choosing an output value. In every execution, at most <?Pub Fmt italic>k<?Pub Fmt /italic> distinct output values may be chosen, and every processor's output value must be some processor's input value. We analyze this problem in a synchronous, message-passing model where processors fail by crashing. We prove a lower bound of <fen lp="fl">f/k<rp post="fl">+1 degree of coordination required, and the number of faults tolerated, even in idealized models like the synchronous model. The proof of this result is interesting because it is the first to apply topological techniques to the synchronous model.|
|Age Range||18 to 22 years ♦ above 22 year|
|Education Level||UG and PG|
|Learning Resource Type||Article|
|Publisher Place||New York|
|Journal||Journal of the ACM (JACM)|
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