Upward and downward separation results link the collapse of small and large classes, and are a standard tool in complexity theory. We study the limitations ...

Aug 15, 1995 · "Downward separation" results show that when small classes collapse, larger ones also collapse. For example, Stockmeyer proved that if P=NP, ...

Abstract. Upward and downward separation results link the collapse of small and large classes, and are a standard tool in complexity theory. We study the.

Upward and downward separation results link the collapse of small and large classes, and are a standard tool in complexity theory. We study the limitations ...

Upward and downward separation results link the collapse of small and large classes, and are a standard tool in complexity theory. We study the limitations ...

Defying Upward and Downward Separation · Read More · Computing upward topological book embeddings of upward planar digraphs. ISAAC'07: Proceedings of the 18th ...

This paper studies the range of application of the upward separation technique that has been introduced by Hartmanis to relate certain structural properties ...

Downward collapse (a.k.a. upward separation) refers to cases where the equality of two larger classes implies the equality of two smaller classes.

DOWNWARD SEPARATION FAILS CATASTROPHICALLY FOR. LIMITED NONDETERMINISM ... Jha, Defying upward and downward separation, Inform. and Com- put., 121 ...

We study the limitations of upward and downward separation. We show that the exponential-time limited nondeterminism hierarchy does not robustly possess ...