This will demonstrate my poor knowledge of Armenia’s constitution, but I will still ask the question (which is not rhetoric).

Can Levon Ter-Petrosian run for presidency if he has already been elected twice? 

The Armenian Constitution  – which limits presidency to two terms with four five years each – was adopted after Ter-Petrosian got elected the first time.  He resigned after getting elected the second time.  Does this mean he can run again? Did the recent constitutional reforms address/change the question? 

UPDATE: Please see the comment section for discussion.