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Verification of Several Parallel, Vol. 36
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Excerpt from Verification of Several Parallel, Vol. 36: Coordination Programs Based on Descriptions of Their Reachability Sets Abstract - A method for verifying parallel programs is applied to several examples (PV-semaphore, "busy-wait" synchronization, "cessation of activity" synchronization, "readers-writers" ). The graph of all program states and state transitions is represented in a special compact form independent of the number N of processing elements. This representation aids in verifying certain correctness properties that can not be easily expressed in the form "predicate(state)." In each of the above mentioned examples a special "reachability tree" is developed whose nodes are some subsets of the set of all reachable states. The root is the initial state and moving down the tree corresponds to some processors advancing their execution. In the presented examples the size of this tree is independent of N. The notion of compact program is introduced: roughly speaking a parallel program is compact if there exists a boundary, independent of N, on time required to reach any state. Examples of non-compact programs are represented. Index Terms- correctness proof, program verification, concurrent processes, synchronization, semaphore, liveness property, mutual exclusion, deadlock. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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