NP-sets are Co-NP-immune Relative to a Random Oracle
نویسنده
چکیده
منابع مشابه
NP - sets are Co - NP - immune Relative to aRandom
We prove that the class NP has Co-NP-immune sets relative to a random oracle. Moreover, we prove that, relative to a random oracle, there are L 2 P and NP-set L 1 L such that L 1 is Co-NP-immune and L n L 1 is NP-immune. The second theorem implies the theorem in 4] that Co-NP has NP-immune sets relative to a random oracle.
متن کاملNP - sets are Co - NP - immune Relative to a
We prove that the class NP has Co-NP-immune sets and the class Co-NP has NP-immune sets relative to a random oracle.
متن کاملRelationships between NP-sets, Co-NP-sets, and P-sets relative to random oracles
In the present paper we prove that relative to random oracle A (with respect to the uniform measure) the following three assertions hold: (1) there is a pair of disjoint NP A-sets which are separable by no P A-set, (2) there is a pair of disjoint Co-NP A-sets which are separable by no P A-set and (3) there is an innnite Co-NP A-set having no innnite NP A-subset
متن کاملOracle Separation of Complexity Classes and Lower Bounds for Perceptrons Solving Separation Problems
In the rst part of the paper we prove that, relative to a random oracle, the class NP has innnite sets having no innnite Co-NP-subsets (Co-NP-immune sets). In the second part we prove that perceptrons separating Boolean matrices in which each row has a one from matrices in which many rows (say 99% of them) have no ones must have large size or large order. This result partially strengthens one-i...
متن کاملPolynomial-Time Random Oracles and Separating Complexity Classes
Bennett and Gill (1981) showed that P 6= NP 6= coNP for a random oracle A, with probability 1. We investigate whether this result extends to individual polynomial-time random oracles. We consider two notions of random oracles: p-random oracles in the sense of martingales and resource-bounded measure (Lutz, 1992; Ambos-Spies et al., 1997), and p-betting-game random oracles using the betting game...
متن کامل