Eli
If company is not providing the salary slip, but if you have appointment letter and if company provides you the release letter, then still you can continue the job. If non of this is provided, a written letter must be send to HR department marking a copy to director as to why the above mentioned documents not provided or that you require the same. if you dont get the reply, its better to quite the job. You can have verbal talk, but then you want have the proof that you made such a talk to management. also do keep the record of the written letter with you. This will help you to inform the other company where you would next join as to why you left the present organisation.
as far as i know, the appointment letter, salary slip are the most important document as they are the proof of your working with a certain organisatio at certain designation and for certain sum of amount. Because of its imporatance, there are legal law formed by the govt from time to time.
I would suggest everyone to discuss the laws on appointment letter, salary slip, employeement contract and release letter. this will help everyone in the forum.
Regards
Meghal