Using appropriate notation systems for proofs, cutreduction can often be rendered feasible on these notations. Explicit bounds can be given. Developing a suitable notation system ...
— This paper presents a decidable characterization of tree languages that can be defined by a boolean combination of Σ1 formulas. This is a tree extension of the Simon theorem,...
We show that reachability and termination for lossy channel systems is exactly at level Fωω in the Fast-Growing Hierarchy of recursive functions, the first level that dominates...
We present a novel compiled approach to Normalization by Evaluation (NBE) for ML-like languages. It supports efficient normalization of open λ-terms w.r.t. β-reduction and rewrit...
The HOL4 proof assistant supports specification and proof in classical higher order logic. It is the latest in a long line of similar systems. In this short overview, we give an o...