Space-Time Theory GQOT and Its Application To Concurrent Processes.

This paper discusses a logical verificational theory GQOT for concurrent processes which communicate and synchronize by asynchronous message passing. In concurrent processes, especially, in distributed systems, each process acts independently, and yet one operation is done as a whole by communicating and synchronizing. Thus, regarding each process as having its own local time, we formalize each by a temporal theory QOT. Then regarding all the concurrent processes as a complete graph with each process as a node, we formalize it as space G. GQOT is the merge of G and QOT. In this paper we define this GQOT and, moreover, to make it more suitable for concurrent processes, introduce a sort of action, concept of interval-time and an operator "next." Then, we show the description and verification of the concurrent processes and its properties. [ABSTRACT FROM AUTHOR]