Proving the correctness of storage representations

Author:

Wand Mitchell,Oliva Dino P.

Abstract

Conventional techniques for semantics-directed compiler derivation yield abstract machines that manipulate trees. However, in order to produce a real compiler, one has to represent these trees in memory. In this paper we show how the technique of storage-layout relations can be applied to verify the correctness of storage representations in a very general way. This technique allows us to separate denotational from operational reasoning, so that each can be used when needed. As an example, we show the correctness of a stack implementation of a language including dynamic catch and throw. The representation uses static and dynamic links to thread the environment and continuation through the stack. We discuss other uses of these techniques.

Publisher

Association for Computing Machinery (ACM)

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1. An Introduction to Operational Semantics;The Compiler Design Handbook;2002-09-25

2. On Exceptions Versus Continuations in the Presence of State;Programming Languages and Systems;2000

3. Specifying the correctness of binding-time analysis;Journal of Functional Programming;1993-07

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