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A Theory of Termination via Indirection

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Abstract

Step-indexed models provide approximations to a class of domain
equations and can prove type safety, partial correctness, and program
equivalence; however, a common misconception is that they
are inapplicable to liveness problems. We disprove this by applying
step-indexing to develop the first Hoare logic of total correctness
for a language with function pointers and semantic assertions.
In fact, from a liveness perspective, our logic is stronger: we verify
explicit time resource bounds. We apply our logic to examples containing
nontrivial "higher-order" uses of function pointers and we
prove soundness with respect to a standard operational semantics.
Our core technique is very compact and may be applicable to other
liveness problems. Our results are machine checked in Coq.


BibTeX - Entry

@InProceedings{dockins_et_al:DagSemProc.10351.3,
  author =	{Dockins, Robert and Hobor, Aquinas},
  title =	{{A Theory of Termination via Indirection}},
  booktitle =	{Modelling, Controlling and Reasoning About State},
  pages =	{1--12},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{10351},
  editor =	{Amal Ahmed and Nick Benton and Lars Birkedal and Martin Hofmann},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2010/2805},
  URN =		{urn:nbn:de:0030-drops-28050},
  doi =		{10.4230/DagSemProc.10351.3},
  annote =	{Keywords: Step-indexed Models, Termination}
}

Keywords: Step-indexed Models, Termination
Seminar: 10351 - Modelling, Controlling and Reasoning About State
Issue date: 2010
Date of publication: 04.11.2010


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