Technically it depends on the type of training you did. Part 61 has a longer paper trail in the way of pink slips than part 141. But in all honesty: BE TRUTHFULL!!! The worst thing you can do to yourself when you are getting you start is to begin with a lie. Its worse than padding your log book to many of these HR people. You need to be completely clear with your background at all times. This includes any past discrepancies with the law.

Airline recruiters are amazingly resourcefull. You would be surprised what they will find out about. This is a very small world. You never know who may be giving the company information.

Its better to explain what you learned from your failures in the past and how you have moved on, than trying to hide something.

-good luck