53a-19 essentially says you can't kill someone unless they are trying to do you great physical harm, and you can't initiate any action that leads to that situation.
This to me seems entirely reasonable. Waving a gun and chasing after someone who stole something sounds like a good way to end up dead.
The text I quoted was posted to an official Connecticut State website and was written in January of this year.
I would hate to be in front of a jury of my peers in this state trying to defend myself. Seems like the criminals get the benefit of the doubt.