We show that every set in the Theta [superscript P, over 2] level of the polynomial hierarchy - every set polynomial- time truth-table reducible to SAT - is accepted by a probabilistic polynomial-time Turing machine: PNP[log] ⊆ PP. Relatedly, we show that probabilistic polynomial time is closed under polynomial-time parity reductions
We present RSLR, an implicit higher-order characterization of the class PP of those problems which c...
We present RSLR, an implicit higher-order characterization of the class PP of those problems which c...
We show that if a self-reducible set has polynomial-size circuits, then it is low for the probabilis...
We show that every set in the ΘP2 level of the polynomial hierarchy -- that is, every set polynomial...
AbstractWe consider several questions on the computational power of PP, the class of sets accepted b...
Let PP-comp denote the sets that are solvable in polynomial time on average under every polynomialti...
AbstractWe consider the relation between the relativized polynomial time hierarchy and relativizatio...
We connect the study of pseudodeterministic algorithms to two major open problems about the structur...
The polynomialtime many-one and Turing reducibilities, Karp and Cook reducibilities respectively, p...
It is known that bounded error probabilistic polynomial time (BPP) languages are accepted by polynom...
AbstractRestricting the search space {0,1}n to the set of truth tables of “easy” Boolean functions o...
Threshold machines are Turing machines whose acceptance is determined by what portion of the machine...
AbstractIn this seminal paper on probabilistic Turing machines, Gill asked whether the class PP is c...
This paper proves that the complexity class Ef)P, parity polynomial time [PZ83], contains the class ...
Restricting the search space f0; 1g n to the set of truth tables of \easy " Boolean functions o...
We present RSLR, an implicit higher-order characterization of the class PP of those problems which c...
We present RSLR, an implicit higher-order characterization of the class PP of those problems which c...
We show that if a self-reducible set has polynomial-size circuits, then it is low for the probabilis...
We show that every set in the ΘP2 level of the polynomial hierarchy -- that is, every set polynomial...
AbstractWe consider several questions on the computational power of PP, the class of sets accepted b...
Let PP-comp denote the sets that are solvable in polynomial time on average under every polynomialti...
AbstractWe consider the relation between the relativized polynomial time hierarchy and relativizatio...
We connect the study of pseudodeterministic algorithms to two major open problems about the structur...
The polynomialtime many-one and Turing reducibilities, Karp and Cook reducibilities respectively, p...
It is known that bounded error probabilistic polynomial time (BPP) languages are accepted by polynom...
AbstractRestricting the search space {0,1}n to the set of truth tables of “easy” Boolean functions o...
Threshold machines are Turing machines whose acceptance is determined by what portion of the machine...
AbstractIn this seminal paper on probabilistic Turing machines, Gill asked whether the class PP is c...
This paper proves that the complexity class Ef)P, parity polynomial time [PZ83], contains the class ...
Restricting the search space f0; 1g n to the set of truth tables of \easy " Boolean functions o...
We present RSLR, an implicit higher-order characterization of the class PP of those problems which c...
We present RSLR, an implicit higher-order characterization of the class PP of those problems which c...
We show that if a self-reducible set has polynomial-size circuits, then it is low for the probabilis...