A Comparison of Weak Completeness Notions

  title={A Comparison of Weak Completeness Notions},
  author={Klaus Ambos-Spies and Elvira Mayordomo and Xizhong Zheng},
  booktitle={IEEE Conference on Computational Complexity},
We compare the weak completeness notions for E in the sense of Lutz’s resource-bounded measure theory [ l l ] with respect to the standara! polynomial t ime reducibilities. Our results parallel ?results for classical completeness b y Watanabe [17] and others. W e show that the weak completeness notions for 1-query reductions coincide: A set is weakl:y complete for E under 1-truth-table reducibility iff it is weakly complete for length-increasing one-one reducibility. For most of the other… CONTINUE READING
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