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» Complexity Parameters for First-Order Classes
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ILP
2003
Springer
13 years 9 months ago
Complexity Parameters for First-Order Classes
We study several complexity parameters for first order formulas and their suitability for first order learning models. We show that the standard notion of size is not captured by...
Marta Arias, Roni Khardon
SIAMIS
2010
283views more  SIAMIS 2010»
12 years 11 months ago
A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
We generalize the primal-dual hybrid gradient (PDHG) algorithm proposed by Zhu and Chan in [M. Zhu, and T. F. Chan, An Efficient Primal-Dual Hybrid Gradient Algorithm for Total Var...
Ernie Esser, Xiaoqun Zhang, Tony F. Chan
LICS
2000
IEEE
13 years 9 months ago
The Role of Decidability in First Order Separations over Classes of Finite Structures
We establish that the decidability of the first order theory of a class of finite structures ¢ is a simple and useful condition for guaranteeing that the expressive power of FO...
Steven Lindell, Scott Weinstein
CIE
2009
Springer
13 years 11 months ago
Complexity of Existential Positive First-Order Logic
Let Γ be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in Γ is in LOGSPACE...
Manuel Bodirsky, Miki Hermann, Florian Richoux
STACS
1993
Springer
13 years 8 months ago
A First-Order Isomorphism Theorem
We show that for most complexity classes of interest, all sets complete under rstorder projections (fops) are isomorphic under rst-order isomorphisms. That is, a very restricted v...
Eric Allender, José L. Balcázar, Nei...