Add to ORKGWe show that if the Boolean hierarchy collapses to its $k^{th}$ level, then the polynomial hierarchy collapses to the $k^{th}$ level of the difference hierarchy of $\Sigma^{P}_{2}$ languages
This thesis is mainly concerned with the structural complexity of the Boolean Hierarchy. The Boolean...
AbstractThe bounded arithmetic theory S2 is finitely axiomatized if and only if the polynomial hiera...
Hemaspaandra, Hempel, and Wechsung [HHW] initiated the field of query order, which studies the ways ...
We show that if the Boolean hierarchy collapses to level k, then the polynomial hierarchy collapses ...
Chang and Kadin have shown that if the difference hierarchy over NP collapses to level $k$, then the...
During the past decade, nine papers have obtained increasingly strong consequences from the assumpti...
The structure of the Boolean hierarchy (BH) is related to the polynomial time hierarchy (PH) by sho...
Chang and Kadin have shown that if the difference hierarchy over NP collapses to level k, then the p...
The polynomial-time hierarchy (PH) is central for many considerations of complexity theory. We call ...
The top part of the preceding figure [figure appears in actual paper] shows some classes from the (t...
Downward translation of equality refers to cases where a collapse of some pair of complexity classes...
Downward collapse (a.k.a. upward separation) refers to cases where the equality of two larger classe...
AbstractAssuming that the polynomial hierarchy (PH) does not collapse, we show the existence of asce...
AbstractThis paper completely characterizes the Θkp levels of the polynomial hierarchy in terms of K...
In a previous article we prove the Polynomial Hierarchy collapses by making use of a method based es...
This thesis is mainly concerned with the structural complexity of the Boolean Hierarchy. The Boolean...
AbstractThe bounded arithmetic theory S2 is finitely axiomatized if and only if the polynomial hiera...
Hemaspaandra, Hempel, and Wechsung [HHW] initiated the field of query order, which studies the ways ...
We show that if the Boolean hierarchy collapses to level k, then the polynomial hierarchy collapses ...
Chang and Kadin have shown that if the difference hierarchy over NP collapses to level $k$, then the...
During the past decade, nine papers have obtained increasingly strong consequences from the assumpti...
The structure of the Boolean hierarchy (BH) is related to the polynomial time hierarchy (PH) by sho...
Chang and Kadin have shown that if the difference hierarchy over NP collapses to level k, then the p...
The polynomial-time hierarchy (PH) is central for many considerations of complexity theory. We call ...
The top part of the preceding figure [figure appears in actual paper] shows some classes from the (t...
Downward translation of equality refers to cases where a collapse of some pair of complexity classes...
Downward collapse (a.k.a. upward separation) refers to cases where the equality of two larger classe...
AbstractAssuming that the polynomial hierarchy (PH) does not collapse, we show the existence of asce...
AbstractThis paper completely characterizes the Θkp levels of the polynomial hierarchy in terms of K...
In a previous article we prove the Polynomial Hierarchy collapses by making use of a method based es...
This thesis is mainly concerned with the structural complexity of the Boolean Hierarchy. The Boolean...
AbstractThe bounded arithmetic theory S2 is finitely axiomatized if and only if the polynomial hiera...
Hemaspaandra, Hempel, and Wechsung [HHW] initiated the field of query order, which studies the ways ...