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DOI: 10.4230/LIPIcs.SAT.2024.24

Hierarchical Stochastic SAT and Quality Assessment of Logic Locking

Authors: Christoph Scholl, Tobias Seufert, and Fabian Siegwolf

Published in: LIPIcs, Volume 305, 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)

Abstract

Motivated by the application of quality assessment of logic locking we introduce Hierarchical Stochastic SAT (HSSAT) which generalizes Stochastic SAT (SSAT). We look into the complexity of HSSAT and for solving HSSAT formulas we provide a prototype solver which computes exact evaluation results (i.e., without any approximation and without any imprecision caused by numerical rounding errors). Finally, we perform an intensive experimental evaluation of our HSSAT solver in the context of quality assessment of logic locking.

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Christoph Scholl, Tobias Seufert, and Fabian Siegwolf. Hierarchical Stochastic SAT and Quality Assessment of Logic Locking. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 24:1-24:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{scholl_et_al:LIPIcs.SAT.2024.24,
  author =	{Scholl, Christoph and Seufert, Tobias and Siegwolf, Fabian},
  title =	{{Hierarchical Stochastic SAT and Quality Assessment of Logic Locking}},
  booktitle =	{27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)},
  pages =	{24:1--24:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-334-8},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{305},
  editor =	{Chakraborty, Supratik and Jiang, Jie-Hong Roland},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2024.24},
  URN =		{urn:nbn:de:0030-drops-205462},
  doi =		{10.4230/LIPIcs.SAT.2024.24},
  annote =	{Keywords: Stochastic Boolean Satisfiability, Hierarchical Stochastic SAT, Binary Decision Diagrams, Decision Procedure}
}

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DOI: 10.4230/LIPIcs.SAT.2022.23

Quantifier Elimination in Stochastic Boolean Satisfiability

Authors: Hao-Ren Wang, Kuan-Hua Tu, Jie-Hong Roland Jiang, and Christoph Scholl

Published in: LIPIcs, Volume 236, 25th International Conference on Theory and Applications of Satisfiability Testing (SAT 2022)

Abstract

Stochastic Boolean Satisfiability (SSAT) generalizes quantified Boolean formulas (QBFs) by allowing quantification over random variables. Its generality makes SSAT powerful to model decision or optimization problems under uncertainty. On the other hand, the generalization complicates the computation in its counting nature. In this work, we address the following two questions: 1) Is there an analogy of quantifier elimination in SSAT, similar to QBF? 2) If quantifier elimination is possible for SSAT, can it be effective for SSAT solving? We answer them affirmatively, and develop an SSAT decision procedure based on quantifier elimination. Experimental results demonstrate the unique benefits of the new method compared to the state-of-the-art solvers.

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Hao-Ren Wang, Kuan-Hua Tu, Jie-Hong Roland Jiang, and Christoph Scholl. Quantifier Elimination in Stochastic Boolean Satisfiability. In 25th International Conference on Theory and Applications of Satisfiability Testing (SAT 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 236, pp. 23:1-23:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{wang_et_al:LIPIcs.SAT.2022.23,
  author =	{Wang, Hao-Ren and Tu, Kuan-Hua and Jiang, Jie-Hong Roland and Scholl, Christoph},
  title =	{{Quantifier Elimination in Stochastic Boolean Satisfiability}},
  booktitle =	{25th International Conference on Theory and Applications of Satisfiability Testing (SAT 2022)},
  pages =	{23:1--23:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-242-6},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{236},
  editor =	{Meel, Kuldeep S. and Strichman, Ofer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2022.23},
  URN =		{urn:nbn:de:0030-drops-166970},
  doi =		{10.4230/LIPIcs.SAT.2022.23},
  annote =	{Keywords: Stochastic Boolean Satisfiability, Quantifier Elimination, Decision Procedure}
}

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Hierarchical Stochastic SAT and Quality Assessment of Logic Locking

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Quantifier Elimination in Stochastic Boolean Satisfiability

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