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In this paper we presented a novel approach to semantic resource discovery in the Grid, Where different organizations may use different ontologies to describe the resource and application requirements. We do not require a central ontology for resource description and matching. The relation matrix is defined to describe relations between concepts in any two ontologies. Then, a method of rewriting resource queries based on the relation matrix is presented to solve the ontology heterogeneity problem. It rewrites the resource queries in one ontology to approximate queries in another ontology based on the relations between concepts. Machines can process this procedure automatically.