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In modern advanced database systems the optimizeris often faced with the problem of finding optimalevaluation strategies for queries involving a large numberof joins. Examples are queries generated by deductivedatabase systems and path expressions inobject-oriented database systems. The best plan canbe found in the very large search space of bushy treeswhere plans are allowed to contain cross products. Ageneral question arises: For which (sub-) problemscan we expect to find...

On the complexity of generating optimal plans with cross products (extended abstract)