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...
Abstract. While many higher-order interactive theorem provers include a choice operator, higher-order automated theorem provers currently do not. As a step towards supporting autom...
Higher-order matching is the problem given t = u where t, u are terms of simply typed λ-calculus and u is closed, is there a substitution θ such that tθ and u have the same nor...
Abstract. We present the meta-theory behind the code generation facilities of Isabelle/HOL. To bridge the gap between the source (higherorder logic with type classes) and the many ...
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...