BPP ⊆ PS and, moreover, every BPP promise problem is PS-separable. We prove analogous results at higher levels of the polynomial-time hierarchy.
Our results yield several characterizations of complexity classes, such as BPP = dimalmost-P and AM = dimalmost-NP, that refine previously known results on ...
Nov 17, 2008 · Our results yield several characterizations of complexity classes, such as BPP = dimalmost-P, Promise-BPP = dimalmost-P-Sep, and AM = dimalmost- ...
Sep 13, 2021 · Abstract. We prove three results on the dimension structure of complexity classes. 1. The Point-to-Set Principle, which has recently been ...
Sep 13, 2021 · We prove three results on the dimension structure of complexity classes. 1. The Point-to-Set Principle, which has recently been used to prove several new ...
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Our results yield several characterizations of complexity classes, such as BPP = dimalmost-P and AM = dimalmost-NP, that refine previously known results on ...
Dimension Characterizations of Complexity Classes ;, denoted by ; \dimalmost , is the class consisting of all problems ; A such that ; A · for all but a Hausdorff ...
Aug 17, 2022 · We prove three results on the dimension structure of complexity classes. (1) The Point-to-Set Principle, which has recently been used to prove several new ...
In this paper we develop resource-bounded dimension, which is a complexity-theoretic general- ization of classical Hausdorff dimension. We carry out this ...
Bibliographic details on Dimension Characterizations of Complexity Classes.