We present a model of recursive and impredicatively quantified types with mutable references. We interpret in this model all of the type constructors needed for typed intermediate...
Andrew W. Appel, Christopher D. Richards, Jé...
Partial types allow the reasoning about partial functions in type theory. The partial functions of main interest are recursively computed functions, which are commonly assigned ty...
Pure, or type-free, Linear Logic proof nets are Turing complete once cut-elimination is5 considered as computation. We introduce modal impredicativity as a new form of impredicati...
Abstract. We show that certain input-output relations, termed inductive invariants are of central importance for termination proofs of algorithms defined by nested recursion. Indu...
This paper proposes a type-and-effect system called Teq, which distinguishes terminating terms and total functions from possibly diverging terms and partial functions, for a lambd...