Beyersdorff, O (2006) Disjoint NP-pairs from propositional proof systems. In: Cai, J, Cooper, SB and Li, A, (eds.) Theory and Applications of Models of Computation, Third International Conference, TAMC 2006, Proceedings. Third International Conference, TAMC, 15-20 May 2006, Bejing, China. Lecture Notes in Computer Science, 3959 . Springer Verlag , 236 - 247 . ISBN 3-540-34021-1
For a proof system P we introduce the complexity class DNPP(P) of all disjoint NP-pairs for which the disjointness of the pair is efficiently provable in the proof system P. We exhibit structural properties of proof systems which make the previously defined canonical NP-pairs of these proof systems hard or complete for DNPP(P). Moreover we demonstrate that non-equivalent proof systems can have equivalent canonical pairs and that depending on the properties of the proof systems different scenarios for DNPP(P) and the reductions between the canonical pairs exist.
|Copyright, Publisher and Additional Information:||© 2006, Springer Verlag. This is an author produced version of a paper published in Theory and Applications of Models of Computation. Uploaded in accordance with the publisher's self-archiving policy. The original publication is available at www.springerlink.com|
|Institution:||The University of Leeds|
|Academic Units:||The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds) > Institute for Computational and Systems Science (Leeds)|
|Depositing User:||Symplectic Publications|
|Date Deposited:||10 Dec 2012 12:18|
|Last Modified:||07 Jun 2014 23:46|