A Fine-Grained Concurrent Completion Procedure
Résumé
We present a concurrent Completion procedure based on the use of a SOUR graph as data structure. The procedure has the following characteristics. It is asynchronous, there is no need for a global memory or global control, equations are stored in a SOUR graph with maximal structure sharing, and each vertex is a process, representing a term. Therefore, the parallelism is at the term level. Each edge is a communication link, representing a (subterm, ordering, unification or rewrite) relation between terms. Completion is performed on the graph as local graph transformations by cooperation between processes. We show that this concurrent Completion procedure is sound and complete with respect to the sequential one, provided that the information is locally time stamped in order to detect out of date information.