Hybrid is a system developed to specify and reason about logics, programming languages, and other formal systems expressed in rder abstract syntax (HOAS). An important goal of Hyb...
Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloFraenkel Set Theory...
The reflection theorem has been proved using Isabelle/ZF. This theorem cannot be expressed in ZF, and its proof requires reasoning at the meta-level. There is a particularly elegan...
We report our effort to build a geometry deductive database, which can be used to find the fixpoint for a geometric configuration. The system can find all the properties of the con...
A general game player is a system that can play previously unknown games given nothing but their rules. A key to success in this endeavour is the ability to automatically gain know...