This paper analyses the computational complexity of the model checking problem for Higher Order Fixpoint Logic – the modal µ-calculus enriched with a typed λ-calculus. It is ha...
We study (collapsible) higher-order pushdown systems -- theoretically robust and well-studied models of higher-order programs -- along with their natural subclass called (collapsi...
Higher-Order Fixpoint Logic (HFL) is a hybrid of the simply typed λ-calculus and the modal µ-calculus. This makes it a highly expressive temporal logic that is capable of express...
Higher-order recursion schemes are systems of rewrite rules on typed non-terminal symbols, which can be used to define infinite trees. The Global Modal Mu-Calculus Model Checking...
We prove that the modal mu-calculus model-checking problem for (ranked and ordered) node-labelled trees that are generated by order-n recursion schemes (whether safe or not, and w...