Employment release

09:01 Oct 8, 2013 

Finiquito is the official name used in labour law, it's not slang. In the same letter of finiquito you have the "terminación de la relación laboral"+ liquidación (the company normally gives you a cheque).
By the way I think here "alta médica" fits better than "autorizar atención médica"

08:24 Oct 8, 2013 

That's the point I make in my explanation and it's official name is "terminación de contrato de trabajo"; "finiquito", strictly speaking, is the compensation / severance pay received by the employee and in the "terminación de contrato de trabajo" it is stated something like 'upon receipt of the monies comprising the finiquito the employee waives all right to pursue further monies, comensation, etc.....'
My wife's just left her job - she signed the "terminación de contrato de empleo" and then a few days later received the "finiquito" in her bank account.

21:48 Oct 7, 2013 

autorizar atención médica - this is what one signs when going to undergo surgery.
and employment release refers to the following:- A release of claims is a written legal contract between an employer and a former employee. The release of claims lays out an agreement between the departing employee and the employer, that in return for severance, the former employee agrees not to sue the employer. Legally, the employee agrees to release the employer from all claims of discrimination and wrongful termination by signing the release.