Abstract. We solve the problem of extending Bird and Paterson’s generalized folds for nested datatypes and its dual to inductive and coinductive constructors of arbitrarily high ...
We give a novel transformation for proving termination of higher-order rewrite systems in the format of Inductive Data Type Systems (IDTSs) by Blanqui, Jouannaud and Okada. The tr...
vel Meta-Reasoning with Higher-Order Abstract Syntax Alberto Momigliano, Simon Ambler. A Normalisation Result for Higher-Order Calculi with Explicit Substitutions Eduardo Bonelli. ...
Type-based termination is a semantically intuitive method that ensures termination of recursive definitions by tracking the size of datatype elements, and by checking that recursiv...
Lamping's optimalgraph reduction technique for the -calculus is generalized to a new class of higher order rewriting systems, called Interaction Systems. Interaction Systems ...