A useful theorem of Kuˇcera states that given a Martin-L¨of random infinite binary sequence ω and an effectively open set A of measure less than 1, some tail of ω is not in A...
Laurent Bienvenu, Adam R. Day, Ilya Mezhirov, Alex...
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 present formal proof rules for inductive reasoning about the way that data transmitted on the network remains secret from a malicious attacker. Extending a compositional protoco...
Arnab Roy, Anupam Datta, Ante Derek, John C. Mitch...
We reformulate, in the context of continuous logic, an oscillation theorem proved by G. Hjorth and give a proof of the theorem in that setting which is similar to, but simpler than...
This paper describes a method of proving strong normalization based on an extension of the conservation theorem. We introduce a structural notion of reduction that we call βS, and...