I have sent a paper to a conference whose proceedings are published in Springer and that paper got accepted there. But I am not able to attend the conference. Then what would be its fate? Does that come into digital library? Second, do conference proceedings contain my paper? Third, will this publication count as a valid publication?
The comments above are the answers you want. I am just reiterating them here because I think the question deserves an answer. If they accepted your paper, it means the conference organizers think it's interesting. You should mention to them your inability to attend, and if you can't for any reason publish it elsewhere, you could ask them if they are willing to review your contribution and publish it. Conference organizers often serve as editors of the conference proceedings, so it's entirely up to them to publish it anyway, or not. And they typically do not have any special incentive to go one way or another, so do try!