Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise t...
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theory. Reported higher-order-logic formalizations o...
Placing our result in a web of related mechanised results, we give a direct proof that the de Bruijn λ-calculus (`a la Huet, Nipkow and Shankar) is isomorphic to an α-quotiented ...
In this paper, we discuss a formalism for modeling regions that are exposed to movement or deformation. The basis of our formalism is the RCC theory, which uses topological relati...