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As more resources and services become available on the Web, there is a growing need for infrastructures that, based on advertised descriptions, semantically match in a peer-to-peer way providers with requesters of Web services. We address the problem of matchmaking of Web services from a knowledge representation perspective. Based on our approach we propose match categorization in terms of exact match, potential match (when request and offer though not identical are compatible) and partial match (when one or more inconsistency is present) and rank of matches within categories. Then we report on our implementation of the proposed matchmaking framework in a prototype system.