两位消息足以在易崩溃系统中实现原子读/写寄存器
Two-Bit Messages are Sufficient to Implement Atomic Read/Write Registers in Crash-prone Systems
摘要：
原子寄存器无疑是计算科学中最基本的对象。它们在一个n进程异步消息传递系统上的实现受到了很多关注。已经表明，t \textless{} n/2（其中t是可能崩溃的进程的最大数量）是在易崩溃的异步消息传递系统之上构建原子寄存器的必要且充分的要求。考虑到这种情况，本文提出了一种算法，实现了一个单写多读原子寄存器只有四个消息类型，其中没有消息需要携带控制信息，除了它的类型。因此，两个比特足以捕获由所有实现消息携带的所有控制信息。此外，两种类型的消息需要携带数据值，而另外两种类型的消息根本不携带值。据我们所知，该算法是第一个具有这样的最优性质的消息携带的控制信息的大小。从时间复杂度的角度来看，它也特别有效。
英文摘要：
Atomic registers are certainly the most basic objects of computing science. Their implementation on top of an n-process asynchronous message-passing system has received a lot of attention. It has been shown that t \textless{} n/2 (where t is the maximal number of processes that may crash) is a necessary and sufficient requirement to build an atomic register on top of a crash-prone asynchronous message-passing system. Considering such a context, this paper presents an algorithm which implements a single-writer multi-reader atomic register with four message types only, and where no message needs to carry control information in addition to its type. Hence, two bits are sufficient to capture all the control information carried by all the implementation messages. Moreover, the messages of two types need to carry a data value while the messages of the two other types carry no value at all. As far as we know, this algorithm is the first with such an optimality property on the size of control information carried by messages. It is also particularly efficient from a time complexity point of view.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
