Logic Pro X complications when installing Maverick

I installed Maverick which was a mistake. It seems to have caused more problems than anything else.

Anyhow, my biggest problem is that when i went to open Logic Pro X it started downloading the essential library. Once it finished downloading the essential library it says that it is installing it but it does not do anything. I waited for 3 hours and nothing happened. I restarted and did the same thing and it was stuck saying that it was installing again.

Any ideas how to fix this?