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Usage of Range Dependencies may not Lead to NP-Complete Problems

Two years ago I got your comments about NP-complete Library Versioning Problem and Proper Library Versioning no longer NP-Complete and I even demonstrated on OSGi's range dependencies that situations of this kind are not unlikely to happen in real projects.

Since then I thought that the root of all evil is the usage of range dependencies. Now I think I was wrong. With the help of complete repositories one can elimiante the NP-Complete problems by encoding all transitive dependencies during compilation.

I've summarized my recent findings into a proof. I'll be glad if LtU audience helps me review it. Thanks and happy new year!