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» Computational Effects in Topological Domain Theory
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AAAI
1994
13 years 7 months ago
Representing Multiple Theories
Most Artificial Intelligence programs lack generality because they reason with a single domain theory that is tailored for a specific task and embodies a host of implicit assumpti...
P. Pandurang Nayak
CCA
2009
Springer
13 years 10 months ago
Effective Choice and Boundedness Principles in Computable Analysis
Abstract. In this paper we study a new approach to classify mathematical theorems according to their computational content. Basically, we are asking the question which theorems can...
Vasco Brattka, Guido Gherardi
SMI
2005
IEEE
13 years 12 months ago
Maximizing Adaptivity in Hierarchical Topological Models
We present an approach to hierarchically encode the topology of functions over triangulated surfaces. We describe the topology of a function by its Morse-Smale complex, a well kno...
Peer-Timo Bremer, Valerio Pascucci, Bernd Hamann
MOBIHOC
2009
ACM
14 years 6 months ago
Fine-grained boundary recognition in wireless ad hoc and sensor networks by topological methods
Location-free boundary recognition is crucial and critical for many fundamental network functionalities in wireless ad hoc and sensor networks. Previous designs, often coarse-grai...
Dezun Dong, Yunhao Liu, Xiangke Liao
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 7 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain