A nonstandard set theory ZFC is proposed that axiomatizes the nonstandard embedding . Besides the usual principles of nonstandard analysis, all axioms of ZFC except regularity are...
The relationship between constraint-based mining and constraint programming is explored by showing how the typical constraints used in pattern mining can be formulated for use in ...
We apply random set theory to an analysis of future climate change. Bounds on cumulative probability are used to quantify uncertainties in natural and socio-economic factors that ...
Abstract. The little theories method, in which mathematical reasoning is distributed across a network of theories, is a powerful technique for describing and analyzing complex syst...
We present a foundation for a computational meta-theory of languages with bindings implemented in a computer-aided formal reasoning environment. Our theory provides the ability to...
Aleksey Nogin, Alexei Kopylov, Xin Yu, Jason Hicke...