License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2017.36
URN: urn:nbn:de:0030-drops-76817
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7681/
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Ricciotti, Wilmer ; Cheney, James

Strongly Normalizing Audited Computation

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LIPIcs-CSL-2017-36.pdf (0.7 MB)

Abstract

Auditing is an increasingly important operation for computer programming, for example in security (e.g. to enable history-based access control) and to enable reproducibility and accountability (e.g. provenance in scientific programming). Most proposed auditing techniques are ad hoc or treat auditing as a second-class, extralinguistic operation; logical or semantic foundations for auditing are not yet well-established. Justification Logic (JL) offers one such foundation; Bavera and Bonelli introduced a computational interpretation of JL called lambda^h that supports auditing. However, lambda^h is technically complex and strong normalization was only established for special cases. In addition, we show that the equational theory of lambda^h is inconsistent. We introduce a new calculus lambda^hc that is simpler than lambda^hc, consistent, and strongly normalizing. Our proof of strong normalization is formalized in Nominal Isabelle.

BibTeX - Entry

@InProceedings{ricciotti_et_al:LIPIcs:2017:7681,
  author =	{Wilmer Ricciotti and James Cheney},
  title =	{{Strongly Normalizing Audited Computation}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{36:1--36:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Valentin Goranko and Mads Dam},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7681},
  URN =		{urn:nbn:de:0030-drops-76817},
  doi =		{10.4230/LIPIcs.CSL.2017.36},
  annote =	{Keywords: lambda calculus, justification logic, strong normalization, audited computation}
}

Keywords: lambda calculus, justification logic, strong normalization, audited computation
Collection: 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)
Issue Date: 2017
Date of publication: 16.08.2017

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