Beyersdorff, O (2009) On the existence of complete disjoint NP-pairs. In: SYNASC 2009 - 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. 11th International Symposium on Symbolic & Numeric Algorithms for Scientific Computing, 26-29 September 2009, Timisoara, Romania. IEEE , 282 - 289 . ISBN 978-1-4244-5910-0
Disjoint NP-pairs are an interesting model of computation with important applications in cryptography and proof complexity. The question whether there exists a complete disjoint NP-pair was posed by Razborov in 1994 and is one of the most important problems in the field. In this paper we prove that there exists a many-one hard disjoint NP-pair which is computed with access to a very weak oracle (a tally NP-oracle). In addition, we exhibit candidates for complete NP-pairs and apply our results to a recent line of research on the construction of hard tautologies from pseudorandom generators.
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|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 16:40|
|Last Modified:||28 Oct 2016 11:18|