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$\begingroup$ I don't think you understand what "no certificate" is. It is not determining if a putative solution is invalid. It requires showing that a problem instance has no possible solution. $\endgroup$

Nicholas Mancuso
– Nicholas Mancuso

2015-11-26 00:22:13 +00:00
Commented Nov 26, 2015 at 0:22
$\begingroup$ I understand it quite well, but maybe I don't understand the question. The complement (co-NP) for the subset sum problem asks whether or not, "for a given set of integers, every subset of integers must have a non-zero sum" which, as a problem, is not seen to be in the set of NP. This seems obvious. However, a 'no' answer to that complement could easily be verified in polynomial time. $\endgroup$

s.burns
– s.burns

2015-11-26 01:15:05 +00:00
Commented Nov 26, 2015 at 1:15

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