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ISIPTA
2005
IEEE
151views Mathematics» more  ISIPTA 2005»
14 years 2 months ago
Towards a Unifying Theory of Logical and Probabilistic Reasoning
Logic and probability theory have both a long history in science. They are mainly rooted in philosophy and mathematics, but are nowadays important tools in many other fields such...
Rolf Haenni
HIS
2003
13 years 10 months ago
On a Set Theory With Uncertain Membership Relations
We logically model uncertainty by expanding language without changing logical reasoning rules. We expand the language of set theory by adding new predicate symbols, uncertain membe...
Shunsuke Yatabe, Yuzuru Kakuda, Makoto Kikuchi
BSL
2007
51views more  BSL 2007»
13 years 9 months ago
Relating First-order Set Theories and Elementary Toposes
We show how to interpret the language of first-order set theory in an elementary topos endowed with, as extra structure, a directed structural system of inclusions (dssi). As our ...
Steven Awodey, Carsten Butz, Alex Simpson, Thomas ...
AML
2005
104views more  AML 2005»
13 years 8 months ago
Weak theories of linear algebra
Abstract. We investigate the theories LA, LAP, LAP of linear algebra, which were originally defined to study the question of whether commutativity of matrix inverses has polysize F...
Neil Thapen, Michael Soltys
IPMI
2005
Springer
14 years 9 months ago
Representing Diffusion MRI in 5D for Segmentation of White Matter Tracts with a Level Set Method
We present a method for segmenting white matter tracts from high angular resolution diffusion MR images by representing the data in a 5 dimensional space of position and orientatio...
Lisa Jonasson, Patric Hagmann, Xavier Bresson, Jea...