Step-Indexing: The Good, the Bad and the Ugly

Authors Nick Benton, Chung-Kil Hur



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Nick Benton
Chung-Kil Hur

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Nick Benton and Chung-Kil Hur. Step-Indexing: The Good, the Bad and the Ugly. In Modelling, Controlling and Reasoning About State. Dagstuhl Seminar Proceedings, Volume 10351, pp. 1-9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)
https://doi.org/10.4230/DagSemProc.10351.7

Abstract

Over the last decade, step-indices have been widely used for the construction of operationally-based logical relations in the presence of various kinds of recursion. We first give an argument that step-indices, or something like them, seem to be required for defining realizability relations between high-level source languages and low-level targets, in the case that the low-level allows egregiously intensional operations such as reflection or comparison of code pointers. We then show how, much to our annoyance, step-indices also seem to prevent us from exploiting such operations as aggressively as we would like in proving program transformations.
Keywords
  • Step-Indexing
  • Logical Relations
  • Low-Level Languages
  • Compiler Correctness

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