# The Generalized Loneliness Detector and Weak System Models for k-Set Agreement

Parallel and Distributed Systems, IEEE Transactions  , Volume 25, Issue 4, 2013, Pages 1078-1088.

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Abstract:

This paper presents two weak partially synchronous system models ${\\cal M}^{{\\rm anti}(n-k)}$ and ${\\cal M}^{{\\rm sink}(n-k)}$ , which are just strong enough for solving $k$-set agreement: We introduce the generalized $(n-k)$-loneliness failure detector ${\\cal L}(k)$, which we first prove to be sufficient for solving $k$-set agreemen...More

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