Is it jack a thief in the story of jack and the beanstalk?

When you think about it you have to come to the conclusion that Jack is the bad guy - as he is the one stealing things and eventually kills the 'man' he has been stealing from when he is in danger of being apprehended for his crimes.

This is a good example where the terms protagonist and antagonist come into play. Jack is set-up as the hero of this story while the giant is set-up as the villain even though there actions suggest otherwise.