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P.M. Melliar-Smith

Possible papers associated with this exact author name in Arrow. This page groups case-insensitive exact name matches and is not a full identity disambiguation profile.

2 papers

1 author row

I&C Journal 1999 Journal Article

Byzantine-Resistant Total Ordering Algorithms

Louise E. Moser
P.M. Melliar-Smith

Multicast group communication protocols are used extensively in fault-tolerant distributed systems. For many such protocols, the acknowledgments for individual messages define a causal order on messages. Maintaining the consistency of information, replicated on several processors to protect it against faults, is greatly simplified by a total order on messages. We present algorithms that incrementally convert a causal order on messages into a total order and that tolerate both crash and Byzantine process faults. Varying compromises between latency to message ordering and resilience to faults yield four distinct algorithms. All of these algorithms use a multistage voting strategy to achieve agreement on the total order and exploit the random structure of the causal order to ensure probabilistic termination.

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TCS Journal 1996 Journal Article

Interval logics and their decision procedures

Y.S. Ramakrishna
P.M. Melliar-Smith
L.E. Moser
L.K. Dillon
G. Kutty

In a companion paper, we presented an interval logic, and showed that it is elementarily decidable. In this paper we extend the logic to allow reasoning about real-time properties of concurrent systems; we call this logic real-time future interval logic (RTFIL). We model time by the real numbers, and allow our syntax to state the bounds on the duration of an interval. RTFIL possesses the “real-time interpolation property, ” which appears to be the natural quantitative counterpart of invariance under finite stuttering. As the main result of this paper, we show that RTFIL is decidable; the decision algorithm is slightly more expensive than for the untimed logic. Our decidability proof is based on the reduction of the satisfiability problem for the logic to the emptiness problem for timed Büchi automata. The latter problem was shown decidable by Alur and Dill in a landmark paper, in which this real-time extension of ω-automata was introduced. Finally, we consider an extension of the logic that allows intervals to be constructed by means of “real-time offsets”, and show that even this simple extension renders the logic highly undecidable.

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