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» Interpreting Classical Theories in Constructive Ones
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TPHOL
2005
IEEE
15 years 3 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
PODS
2008
ACM
152views Database» more  PODS 2008»
15 years 9 months ago
Towards a theory of schema-mapping optimization
A schema mapping is a high-level specification that describes the relationship between two database schemas. As schema mappings constitute the essential building blocks of data ex...
Ronald Fagin, Phokion G. Kolaitis, Alan Nash, Luci...
JNS
2010
107views more  JNS 2010»
14 years 4 months ago
Ground States and Critical Points for Aubry-Mather Theory in Statistical Mechanics
We consider statistical mechanics systems defined on a set with some symmetry properties (namely, the set admits an action by a group, which is finitely generated and residually fi...
Rafael de La Llave, Enrico Valdinoci
ACS
2008
14 years 9 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer
111
Voted
ARGMAS
2007
Springer
15 years 1 months ago
Arguing and Explaining Classifications
Argumentation is a promising approach used by autonomous agents for reasoning about inconsistent knowledge, based on the construction and the comparison of arguments. In this pape...
Leila Amgoud, Mathieu Serrurier