Logical timing (global synchronization of asynchronous arrays)
Victor I. Varshavsky, Vyacheslav B. Marakhovsky, Tam-Anh Chu · 2002
The problem of global synchronization is solved for asynchronous processor arrays and multiprocessor systems with an arbitrary interconnection graph. Global synchronization of asynchronous systems is treated as a homomorphic mapping of an asynchronous system behavior in logical time onto the behavior of the corresponding synchronous system with a common clock functioning in physical time. The solution is based on decomposing the system to the processor stratum and synchro-stratum; the latter plays the role of a global asynchronous clock. For the case of a synchronous system with two-phase master-slave synchronization, a simple implementation of the synchro-stratum for the corresponding asynchronous system is proposed. It is shown that, depending on the local behavior of the processors, the synchro-stratum is able to perform two types of global synchronization: parallel synchronization and synchronization that uses a system of synchro-waves.>