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Strongly Normalizing Audited Computation

Authors Wilmer Ricciotti, James Cheney

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Wilmer Ricciotti
James Cheney

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Wilmer Ricciotti and James Cheney. Strongly Normalizing Audited Computation. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 36:1-36:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017) https://doi.org/10.4230/LIPIcs.CSL.2017.36

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.

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Keywords
  • lambda calculus
  • justification logic
  • strong normalization
  • audited computation

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