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Computing Information Flow Using Symbolic Model-Checking

Authors Rohit Chadha, Umang Mathur, Stefan Schwoon

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Rohit Chadha
Umang Mathur
Stefan Schwoon

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Rohit Chadha, Umang Mathur, and Stefan Schwoon. Computing Information Flow Using Symbolic Model-Checking. In 34th International Conference on Foundation of Software Technology and Theoretical Computer Science (FSTTCS 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 29, pp. 505-516, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014) https://doi.org/10.4230/LIPIcs.FSTTCS.2014.505

Abstract

Several measures have been proposed in literature for quantifying the information leaked by the public outputs of a program with secret inputs. We consider the problem of computing information leaked by a deterministic or probabilistic program when the measure of information is based on (a) min-entropy  and (b) Shannon entropy. The key challenge in computing these measures is that we need the total number of possible outputs and, for each possible output, the number of inputs that lead to it. A direct computation of these quantities is infeasible because of the state-explosion problem.  We therefore propose symbolic algorithms based on binary decision diagrams (BDDs). The advantage of our approach is that these symbolic algorithms can be easily implemented in any BDD-based model-checking tool that checks for reachability in deterministic non-recursive programs by computing  program summaries. We demonstrate the validity of our approach by implementing these algorithms in a tool Moped-QLeak, which is  built upon Moped, a model checker for Boolean programs. Finally, we show how this symbolic approach extends to probabilistic programs.

Subject Classification

Keywords
  • Information leakage
  • Min Entropy
  • Shannon Entropy
  • Abstract decision diagrams
  • Program summaries

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