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» Bounded Arithmetic and Descriptive Complexity
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JSYML
2010
95views more  JSYML 2010»
13 years 2 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
JALC
2007
84views more  JALC 2007»
13 years 7 months ago
Enumeration of Context-Free Languages and Related Structures
In this paper, we consider the enumeration of context-free languages. In particular, for any reasonable descriptional complexity measure for context-free grammars, we demonstrate ...
Michael Domaratzki, Alexander Okhotin, Jeffrey Sha...
STOC
2007
ACM
108views Algorithms» more  STOC 2007»
14 years 7 months ago
Combinatorial complexity in O-minimal geometry
In this paper we prove tight bounds on the combinatorial and topological complexity of sets defined in terms of n definable sets belonging to some fixed definable family of sets i...
Saugata Basu
DLOG
2011
12 years 11 months ago
The Complexity of Probabilistic EL
We analyze the complexity of subsumption in probabilistic variants of the description logic EL. In the case where probabilities apply only to concepts, we map out the borderline be...
Jean Christoph Jung, Víctor Gutiérre...
COMPGEOM
2000
ACM
13 years 11 months ago
A trace bound for the hereditary discrepancy
Let A be the incidence matrix of a set system with m sets and n points, m ≤ n, and let t = tr M, where M = AT A. Finally, let σ = tr M2 be the sum of squares of the elements of ...
Bernard Chazelle, Alexey Lvov