MoL-2015-06: Emerich, Johannes (2015) Applying Types as Abstract Interpretation to a Language with Dynamic Dispatch. [Report]
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Abstract
We are concerned with an application of the "types as Abstract Interpretation" perspective of [Cousot 97] to the problem of typing overloaded operator symbols in a simple applicative language with dynamic dispatch. We begin by a development of abstract semantics, or type systems, for \lambda_C, a language without overloading. The distinction between parametric and ad-hoc type polymorphism is then introduced, where a particular challenge arising from the ad-hoc variant is stressed. \lambda_K, an extension of \lambda_C with support for overloading definitions at the user level serves to illustrate the problem of ad-hoc polymorphism, and is presented together with a type system designed to support some of its forms. To prove soundness of said type system, the abstract interpretation development of type systems for \lambda_C is extended to \lambda_K and the new type system is shown to be a sound abstraction in the sense of [Cousot 97].
| Item Type: | Report |
|---|---|
| Report Nr: | MoL-2015-06 |
| Series Name: | Master of Logic Thesis (MoL) Series |
| Year: | 2015 |
| Uncontrolled Keywords: | logic, computation |
| Subjects: | Logic |
| Date Deposited: | 12 Oct 2016 14:38 |
| Last Modified: | 12 Oct 2016 14:38 |
| URI: | https://eprints.illc.uva.nl/id/eprint/947 |
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