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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > STRUCTURAL COMPLEXITY:
Reports tagged with structural complexity:
TR00-081 | 5th September 2000
Shin Aida, Rainer Schuler, Tatsuie Tsukiji, Osamu Watanabe

On the difference between polynomial-time many-one and truth-table reducibilities on distributional problems

In this paper we separate many-one reducibility from truth-table
reducibility for distributional problems in DistNP under the
hypothesis that P neq NP. As a first example we consider the
3-Satisfiability problem (3SAT) with two different distributions
on 3CNF formulas. We show that 3SAT using a version of the
standard distribution ... more >>>


TR03-069 | 13th August 2003
Elmar Böhler, Christian Glaßer, Daniel Meister

Small Bounded-Error Computations and Completeness

SBP is a probabilistic promise class located
between MA and AM \cap BPPpath. The first
part of the paper studies the question of whether
SBP has many-one complete sets. We relate
this question to the existence of uniform
enumerations. We construct an oracle relative to
which SBP and AM do ... more >>>


TR05-028 | 12th February 2005
Elmar Böhler

On the Lattice of Clones Below the Polynomial Time Functions

A clone is a set of functions that is closed under generalized substitution.
The set FP of functions being computable deterministically in polynomial
time is such a clone. It is well-known that the set of subclones of every
clone forms a lattice. We study the lattice below FP, which ... more >>>


TR10-086 | 17th May 2010
Henning Wunderlich

On a Theorem of Razborov

In an unpublished Russian manuscript Razborov proved that a matrix family with high
rigidity over a finite field would yield a language outside the polynomial hierarchy
in communication complexity.

We present an alternative proof that strengthens the original result in several ways.
In particular, we replace rigidity by the strictly ... more >>>




ISSN 1433-8092 | Imprint