operator abstraction is a language construct relevant to object oriented programming languages and to ML2000, the successor to Standard ML. In this paper, we introduce Fω ≤, a ...
Using methods drawn from Game Semantics, we build a sound and computationally adequate model of a simple calculus that includes both subtyping and recursive types. Our model solves...
One approach to give semantics to languages with subtypes is by translation to target languages without subtyping: subtypings A 6 B are interpreted via conversion functions A B. ...
Subtyping rules can be fairly complex for union types, due to interactions with other types, such as function types. Furthermore, these interactions turn out to depend on the calc...
This paper introduces a new approach to type theory called pure subtype systems. Pure subtype systems differ from traditional approaches to type theory (such as pure type systems)...