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ITP
2010
230views Mathematics» more  ITP 2010»
13 years 9 months ago
On the Formalization of the Lebesgue Integration Theory in HOL
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theory. Reported higher-order-logic formalizations o...
Tarek Mhamdi, Osman Hasan, Sofiène Tahar
COMPGEOM
1987
ACM
13 years 11 months ago
Simplified Voronoi Diagrams
We are interested in Voronoi diagrams as a tool in robot path planning, where the search for a path in an r-dimensional space may be simplified to a search on an (r- l)-dimensional...
John F. Canny, Bruce Randall Donald
JANCL
2002
91views more  JANCL 2002»
13 years 7 months ago
A Modal Walk Through Space
We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-str...
Marco Aiello, Johan van Benthem
QEST
2010
IEEE
13 years 5 months ago
The Measurable Space of Stochastic Processes
Abstract--We introduce a stochastic extension of CCS endowed with structural operational semantics expressed in terms of measure theory. The set of processes is organised as a meas...
Luca Cardelli, Radu Mardare
AIMSA
2010
Springer
13 years 9 months ago
Towards Ontological Blending
We propose ontological blending as a new method for `creatively' combining ontologies. In contrast to other combination techniques that aim at integrating or assimilating cate...
Joana Hois, Oliver Kutz, Till Mossakowski, John A....