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» Bounded Arithmetic and Descriptive Complexity
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CSR
2010
Springer
14 years 5 days ago
Balancing Bounded Treewidth Circuits
Algorithmic tools for graphs of small treewidth are used to address questions in complexity theory. For both arithmetic and Boolean circuits, it is shown that any circuit of size ...
Maurice Jansen, Jayalal M. N. Sarma
CIE
2009
Springer
13 years 11 months ago
Functions Definable by Arithmetic Circuits
An arithmetic circuit is a labelled, directed, acyclic graph specifying a cascade of arithmetic and logical operations to be performed on sets of non-negative integers. In this pap...
Ian Pratt-Hartmann, Ivo Düntsch
CSL
2008
Springer
13 years 9 months ago
The Descriptive Complexity of Parity Games
We study the logical definablity of the winning regions of parity games. For games with a bounded number of priorities, it is wellknown that the winning regions are definable in th...
Anuj Dawar, Erich Grädel
CONCUR
2010
Springer
13 years 6 months ago
On the Use of Non-deterministic Automata for Presburger Arithmetic
Abstract. A well-known decision procedure for Presburger arithmetic uses deterministic finite-state automata. While the complexity of the decision procedure for Presburger arithme...
Antoine Durand-Gasselin, Peter Habermehl
BSL
2008
97views more  BSL 2008»
13 years 7 months ago
The Complexity of Orbits of Computably Enumerable Sets
The goal of this paper is to announce there is a single orbit of the c.e. sets with inclusion, E, such that the question of membership in this orbit is 1 1-complete. This result an...
Peter Cholak, Rodney G. Downey, Leo Harrington