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» Approximate counting in bounded arithmetic
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JUCS
2008
91views more  JUCS 2008»
13 years 7 months ago
The Riemann Integral in Weak Systems of Analysis
: Taking as a starting point (a modification of) a weak theory of arithmetic of Jan Johannsen and Chris Pollett (connected with the hierarchy of counting functions), we introduce s...
Fernando Ferreira, Gilda Ferreira
CORR
2002
Springer
101views Education» more  CORR 2002»
13 years 7 months ago
Quantum Circuits with Unbounded Fan-out
We demonstrate that the unbounded fan-out gate is very powerful. Constant-depth polynomial-size quantum circuits with bounded fan-in and unbounded fan-out over a fixed basis (denot...
Peter Høyer, Robert Spalek
MLQ
2010
148views more  MLQ 2010»
13 years 5 months ago
Abelian groups and quadratic residues in weak arithmetic
We investigate the provability of some properties of abelian groups and quadratic residues in variants of bounded arithmetic. Specifically, we show that the structure theorem for...
Emil Jerábek
LICS
1998
IEEE
13 years 11 months ago
On Proofs about Threshold Circuits and Counting Hierarchies
Hierarchies (Extended Abstract) Jan Johannsen Chris Pollett Department of Mathematics Department of Computer Science University of California, San Diego Boston University La Jolla,...
Jan Johannsen, Chris Pollett
STACS
2010
Springer
14 years 2 months ago
The Complexity of Approximating Bounded-Degree Boolean #CSP
The degree of a CSP instance is the maximum number of times that a variable may appear in the scope of constraints. We consider the approximate counting problem for Boolean CSPs wi...
Martin E. Dyer, Leslie Ann Goldberg, Markus Jalsen...