A sound reduction semantics for untyped CBN multi-stage computation. Or, the theory of MetaML is non-trival

Author:

Taha Walid1

Affiliation:

1. Department of Computing Science, Chalmers University of Technology and the University of Göteborg, S-412 96 Göteborg, Sweden

Abstract

A multi-stage computation is one involving more than one stage of execution. MetaML is a language for programming multi-stage computations. Previous studies presented big-step semantics, categorical semantics, and sound type systems for MetaML. In this paper, we report on a confluent and sound reduction semantics for untyped call-by name (CBN) MetaML. The reduction semantics can be used to formally justify some optimization performed by a CBN MetaML implementation. The reduction semantics demonstrates that non-trivial equalities hold for object-code, even in the untyped setting. The paper also emphasizes that adding intensional analysis (that is, taking-apart object programs) to MetaML remains an interesting open problem.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design,Software

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