I can give you details on how to reinstall Logic. It requires you you deleteing the associated Logic folders and then reinstalling Logic.
But please try the following first and if you have no luck I'll give you the reinstallation details:
Have you deleted the Logic preferences files. These can get corrupt and cause all types of problems. Here is an article on what to do:
Make sure you backup your key commands before doing this, as these will be lost.
If this does not work, try the following:
Create a new user account on your Mac. Log into this new user. Launch Logic and see if the problem still persists. If it does, then there may be a problem with your user account on your Mac. If so, let me know and I'll give you some other things to try.
If it Logic crashing still happens in the new user, then a reinstall will be necessary.