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Invited Talk

DOI: 10.4230/LIPIcs.FSTTCS.2019.1

Practical Formal Methods for Real World Cryptography (Invited Talk)

Authors: Karthikeyan Bhargavan and Prasad Naldurg

Published in: LIPIcs, Volume 150, 39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019)

Abstract

Cryptographic algorithms, protocols, and applications are difficult to implement correctly, and errors and vulnerabilities in their code can remain undiscovered for long periods before they are exploited. Even highly-regarded cryptographic libraries suffer from bugs like buffer overruns, incorrect numerical computations, and timing side-channels, which can lead to the exposure of sensitive data and long-term secrets. We describe a tool chain and framework based on the F* programming language to formally specify, verify and compile high-performance cryptographic software that is secure by design. This tool chain has been used to build a verified cryptographic library called HACL*, and provably secure implementations of sophisticated secure communication protocols like Signal and TLS. We describe these case studies and conclude with ongoing work on using our framework to build verified implementations of privacy preserving machine learning software.

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Karthikeyan Bhargavan and Prasad Naldurg. Practical Formal Methods for Real World Cryptography (Invited Talk). In 39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 150, pp. 1:1-1:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@InProceedings{bhargavan_et_al:LIPIcs.FSTTCS.2019.1,
  author =	{Bhargavan, Karthikeyan and Naldurg, Prasad},
  title =	{{Practical Formal Methods for Real World Cryptography}},
  booktitle =	{39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019)},
  pages =	{1:1--1:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-131-3},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{150},
  editor =	{Chattopadhyay, Arkadev and Gastin, Paul},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2019.1},
  URN =		{urn:nbn:de:0030-drops-115632},
  doi =		{10.4230/LIPIcs.FSTTCS.2019.1},
  annote =	{Keywords: Formal verification, Applied cryptography, Security protocols, Machine learning}
}

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DOI: 10.4230/LIPIcs.FSTTCS.2013.163

Primal Infon Logic: Derivability in Polynomial Time

Authors: Anguraj Baskar, Prasad Naldurg, K. R. Raghavendra, and S. P. Suresh

Published in: LIPIcs, Volume 24, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013)

Abstract

Primal infon logic (PIL), introduced by Gurevich and Neeman in 2009, is a logic for authorization in distributed systems. It is a variant of the (and, implies)-fragment of intuitionistic modal logic. It presents many interesting technical challenges -- one of them is to determine the complexity of the derivability problem. Previously, some restrictions of propositional PIL were proved to have a linear time algorithm, and some extensions have been proved to be PSPACE-complete. In this paper, we provide an O(N^3) algorithm for derivability in propositional PIL. The solution involves an interesting interplay between the sequent calculus formulation (to prove the subformula property) and the natural deduction formulation of the logic (based on which we provide an algorithm for the derivability problem).

Cite as

Anguraj Baskar, Prasad Naldurg, K. R. Raghavendra, and S. P. Suresh. Primal Infon Logic: Derivability in Polynomial Time. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 24, pp. 163-174, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{baskar_et_al:LIPIcs.FSTTCS.2013.163,
  author =	{Baskar, Anguraj and Naldurg, Prasad and Raghavendra, K. R. and Suresh, S. P.},
  title =	{{Primal Infon Logic: Derivability in Polynomial Time}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013)},
  pages =	{163--174},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-64-4},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{24},
  editor =	{Seth, Anil and Vishnoi, Nisheeth K.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2013.163},
  URN =		{urn:nbn:de:0030-drops-43708},
  doi =		{10.4230/LIPIcs.FSTTCS.2013.163},
  annote =	{Keywords: Authorization logics, Intuitionistic modal logic, Proof theory, Cut elimination, Subformula property}
}

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Documents authored by Naldurg, Prasad

Practical Formal Methods for Real World Cryptography (Invited Talk)

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Primal Infon Logic: Derivability in Polynomial Time

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