2 Search Results for "Tsai, Ming-Hsien"

Document

DOI: 10.4230/LIPIcs.CONCUR.2021.3

Inclusion Testing of Büchi Automata Based on Well-Quasiorders

Authors: Kyveli Doveri, Pierre Ganty, Francesco Parolini, and Francesco Ranzato

Published in: LIPIcs, Volume 203, 32nd International Conference on Concurrency Theory (CONCUR 2021)

Abstract

We introduce an algorithmic framework to decide whether inclusion holds between languages of infinite words over a finite alphabet. Our approach falls within the class of Ramsey-based methods and relies on a least fixpoint characterization of ω-languages leveraging ultimately periodic infinite words of type uv^ω, with u a finite prefix and v a finite period of an infinite word. We put forward an inclusion checking algorithm between Büchi automata, called BAInc, designed as a complete abstract interpretation using a pair of well-quasiorders on finite words. BAInc is quite simple: it consists of two least fixpoint computations (one for prefixes and the other for periods) manipulating finite sets (of pairs) of states compared by set inclusion, so that language inclusion holds when the sets (of pairs) of states of the fixpoints satisfy some basic conditions. We implemented BAInc in a tool called BAIT that we experimentally evaluated against the state-of-the-art. We gathered, in addition to existing benchmarks, a large number of new case studies stemming from program verification and word combinatorics, thereby significantly expanding both the scope and size of the available benchmark set. Our experimental results show that BAIT advances the state-of-the-art on an overwhelming majority of these benchmarks. Finally, we demonstrate the generality of our algorithmic framework by instantiating it to the inclusion problem of Büchi pushdown automata into Büchi automata.

Cite as

Kyveli Doveri, Pierre Ganty, Francesco Parolini, and Francesco Ranzato. Inclusion Testing of Büchi Automata Based on Well-Quasiorders. In 32nd International Conference on Concurrency Theory (CONCUR 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 203, pp. 3:1-3:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{doveri_et_al:LIPIcs.CONCUR.2021.3,
  author =	{Doveri, Kyveli and Ganty, Pierre and Parolini, Francesco and Ranzato, Francesco},
  title =	{{Inclusion Testing of B\"{u}chi Automata Based on Well-Quasiorders}},
  booktitle =	{32nd International Conference on Concurrency Theory (CONCUR 2021)},
  pages =	{3:1--3:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-203-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{203},
  editor =	{Haddad, Serge and Varacca, Daniele},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2021.3},
  URN =		{urn:nbn:de:0030-drops-143802},
  doi =		{10.4230/LIPIcs.CONCUR.2021.3},
  annote =	{Keywords: B\"{u}chi (Pushdown) Automata, \omega-Language Inclusion, Well-quasiorders}
}

Document

Invited Talk

DOI: 10.4230/LIPIcs.CONCUR.2018.4

Verifying Arithmetic Assembly Programs in Cryptographic Primitives (Invited Talk)

Authors: Andy Polyakov, Ming-Hsien Tsai, Bow-Yaw Wang, and Bo-Yin Yang

Published in: LIPIcs, Volume 118, 29th International Conference on Concurrency Theory (CONCUR 2018)

Abstract

Arithmetic over large finite fields is indispensable in modern cryptography. For efficienty, these operations are often implemented in manually optimized assembly programs. Since these arithmetic assembly programs necessarily perform lots of non-linear computation, checking their correctness is a challenging verification problem. We develop techniques to verify such programs automatically in this paper. Using our techniques, we have successfully verified a number of assembly programs in OpenSSL. Moreover, our tool verifies the boringSSL Montgomery Ladderstep (about 1400 assembly instructions) in 1 hour. This is by far the fastest verification technique for such programs.

Cite as

Andy Polyakov, Ming-Hsien Tsai, Bow-Yaw Wang, and Bo-Yin Yang. Verifying Arithmetic Assembly Programs in Cryptographic Primitives (Invited Talk). In 29th International Conference on Concurrency Theory (CONCUR 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 118, pp. 4:1-4:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{polyakov_et_al:LIPIcs.CONCUR.2018.4,
  author =	{Polyakov, Andy and Tsai, Ming-Hsien and Wang, Bow-Yaw and Yang, Bo-Yin},
  title =	{{Verifying Arithmetic Assembly Programs in Cryptographic Primitives}},
  booktitle =	{29th International Conference on Concurrency Theory (CONCUR 2018)},
  pages =	{4:1--4:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-087-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{118},
  editor =	{Schewe, Sven and Zhang, Lijun},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2018.4},
  URN =		{urn:nbn:de:0030-drops-95425},
  doi =		{10.4230/LIPIcs.CONCUR.2018.4},
  annote =	{Keywords: Formal verification, Cryptography, Assembly Programs}
}

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2 Search Results for "Tsai, Ming-Hsien"

Inclusion Testing of Büchi Automata Based on Well-Quasiorders

Abstract

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Verifying Arithmetic Assembly Programs in Cryptographic Primitives (Invited Talk)

Abstract

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