The paper considers an early approach toward a (fuzzy) set theory with a graded membership predicate and a graded equality relation which had been developed by the German mathemat...
We present a model for representing search in theorem proving. This model captures the notion of contraction, which has been central in some of the recent developments in theorem ...
We demonstrate the role of commonsense inference toward the modeling of qualitative notions of space and spatial change within a dynamic setup. The inference patterns are connecte...
We address some aspects of a proposed system architecture for mathematical assistants, integrating calculations and deductions by common infrastructure within the Isabelle theorem ...
In the early 1920s, Pavel Urysohn proved his famous lemma (sometimes referred to as "first non-trivial result of point set topology"). Among other applications, this lemm...