High availability is becoming an essential part of network services because even a little downtime may lead to a great loss of money. According to previous research, network failure is one of the major causes of system unavailability. In this paper, we propose a framework called HANet for building highly available network services. The main goal of HANet is to allow a server to continue providi...

β-expansions and ultimately periodic

Cameron has introduced a natural bijection between the set of one way infinite binary sequences and the set of sum-free sets (of positive integers), and observed that a sum-free set is ultimately periodic only if the corresponding binary sequence is ultimately periodic. He asked if the converse also holds. In this paper we present necessary and sufficient conditions for a sum-free set to be ult...

The aim of this paper is to study the power of parallel multisetrewriting systems with permitting context (or P systems with non-cooperative rules with promoters). The main result obtained is that if we use promoters of weight two, then the system is universal. Moreover, the construction satisfies a special property we define: it is ultimately confluent. This means that if the system allows at ...