A Simple Application of Lightweight Fusion to Proving the Equivalence of Abstract Machines

Olivier Danvy, Kevin Millikin


We show how Ohori and Sasano's recent lightweight fusion by fixed-point promotion provides a simple way to prove the equivalence of the two standard styles of specification of abstract machines: (1) as a transition function together with a `driver loop' implementing the iteration of this transition function; and (2) as a function directly iterating upon a configuration until reaching a final state, if ever. The equivalence hinges on the fact that the latter style of specification is a fused version of the former one. The need for such a simple proof is motivated by our recent work on syntactic correspondences between reduction semantics and abstract machines, using refocusing.

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DOI: http://dx.doi.org/10.7146/brics.v14i8.21931
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ISSN: 0909-0878 

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