IPASIR-UP: User Propagators for CDCL

Authors Katalin Fazekas , Aina Niemetz , Mathias Preiner , Markus Kirchweger , Stefan Szeider , Armin Biere



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Author Details

Katalin Fazekas
  • TU Wien, Austria
Aina Niemetz
  • Stanford University, CA, USA
Mathias Preiner
  • Stanford University, CA, USA
Markus Kirchweger
  • TU Wien, Austria
Stefan Szeider
  • TU Wien, Austria
Armin Biere
  • Universität Freiburg, Germany

Acknowledgements

The authors would like to thank the reviewers for their thoughtful comments and helpful suggestions on improving this paper.

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Katalin Fazekas, Aina Niemetz, Mathias Preiner, Markus Kirchweger, Stefan Szeider, and Armin Biere. IPASIR-UP: User Propagators for CDCL. In 26th International Conference on Theory and Applications of Satisfiability Testing (SAT 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 271, pp. 8:1-8:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.SAT.2023.8

Abstract

Modern SAT solvers are frequently embedded as sub-reasoning engines into more complex tools for addressing problems beyond the Boolean satisfiability problem. Examples include solvers for Satisfiability Modulo Theories (SMT), combinatorial optimization, model enumeration and counting. In such use cases, the SAT solver is often able to provide relevant information beyond the satisfiability answer. Further, domain knowledge of the embedding system (e.g., symmetry properties or theory axioms) can be beneficial for the CDCL search, but cannot be efficiently represented in clausal form. In this paper, we propose a general interface to inspect and influence the internal behaviour of CDCL SAT solvers. Our goal is to capture the most essential functionalities that are sufficient to simplify and improve use cases that require a more fine-grained interaction with the SAT solver than provided via the standard IPASIR interface. For our experiments, we extend CaDiCaL with our interface and evaluate it on two representative use cases: enumerating graphs within the SAT modulo Symmetries framework (SMS), and as the main CDCL(T) SAT engine of the SMT solver cvc5.

Subject Classification

ACM Subject Classification
  • Theory of computation → Automated reasoning
Keywords
  • SAT
  • CDCL
  • Satisfiability Modulo Theories
  • Satisfiability Modulo Symmetries

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References

  1. Rajeev Alur, Rastislav Bodík, Garvit Juniwal, Milo M. K. Martin, Mukund Raghothaman, Sanjit A. Seshia, Rishabh Singh, Armando Solar-Lezama, Emina Torlak, and Abhishek Udupa. Syntax-guided synthesis. In Formal Methods in Computer-Aided Design, FMCAD 2013, Portland, OR, USA, October 20-23, 2013, pages 1-8. IEEE, 2013. URL: https://ieeexplore.ieee.org/document/6679385/.
  2. Felix Arends, Joël Ouaknine, and Charles W. Wampler. On searching for small Kochen-Specker vector systems. In Petr Kolman and Jan Kratochvíl, editors, Graph-Theoretic Concepts in Computer Science - 37th International Workshop, WG 2011, Teplá Monastery, Czech Republic, June 21-24, 2011. Revised Papers, volume 6986 of LNCS, pages 23-34. Springer, 2011. URL: https://doi.org/10.1007/978-3-642-25870-1_4.
  3. Fahiem Bacchus, Matti Järvisalo, and Ruben Martins. Maximum satisfiabiliy. In Armin Biere, Marijn Heule, Hans van Maaren, and Toby Walsh, editors, Handbook of Satisfiability - Second Edition, volume 336 of Frontiers in Artificial Intelligence and Applications, pages 929-991. IOS Press, 2021. URL: https://doi.org/10.3233/FAIA201008.
  4. John Backes, Ulises Berrueco, Tyler Bray, Daniel Brim, Byron Cook, Andrew Gacek, Ranjit Jhala, Kasper Søe Luckow, Sean McLaughlin, Madhav Menon, Daniel Peebles, Ujjwal Pugalia, Neha Rungta, Cole Schlesinger, Adam Schodde, Anvesh Tanuku, Carsten Varming, and Deepa Viswanathan. Stratified abstraction of access control policies. In Shuvendu K. Lahiri and Chao Wang, editors, Computer Aided Verification - 32nd International Conference, CAV 2020, Los Angeles, CA, USA, July 21-24, 2020, Proceedings, Part I, volume 12224 of Lecture Notes in Computer Science, pages 165-176. Springer, 2020. URL: https://doi.org/10.1007/978-3-030-53288-8_9.
  5. Tomás Balyo, Armin Biere, Markus Iser, and Carsten Sinz. SAT race 2015. Artif. Intell., 241:45-65, 2016. URL: https://doi.org/10.1016/j.artint.2016.08.007.
  6. Haniel Barbosa, Clark W. Barrett, Martin Brain, Gereon Kremer, Hanna Lachnitt, Makai Mann, Abdalrhman Mohamed, Mudathir Mohamed, Aina Niemetz, Andres Nötzli, Alex Ozdemir, Mathias Preiner, Andrew Reynolds, Ying Sheng, Cesare Tinelli, and Yoni Zohar. cvc5: A versatile and industrial-strength SMT solver. In Dana Fisman and Grigore Rosu, editors, Tools and Algorithms for the Construction and Analysis of Systems - 28th International Conference, TACAS 2022, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022, Munich, Germany, April 2-7, 2022, Proceedings, Part I, volume 13243 of Lecture Notes in Computer Science, pages 415-442. Springer, 2022. URL: https://doi.org/10.1007/978-3-030-99524-9_24.
  7. Clark Barrett, Pascal Fontaine, and Cesare Tinelli. The Satisfiability Modulo Theories Library (SMT-LIB), 2023. URL: http://smt-lib.org.
  8. Clark W. Barrett, David L. Dill, and Aaron Stump. Checking satisfiability of first-order formulas by incremental translation to SAT. In Ed Brinksma and Kim Guldstrand Larsen, editors, Computer Aided Verification, 14th International Conference, CAV 2002,Copenhagen, Denmark, July 27-31, 2002, Proceedings, volume 2404 of Lecture Notes in Computer Science, pages 236-249. Springer, 2002. URL: https://doi.org/10.1007/3-540-45657-0_18.
  9. Clark W. Barrett, Roberto Sebastiani, Sanjit A. Seshia, and Cesare Tinelli. Satisfiability modulo theories. In Armin Biere, Marijn Heule, Hans van Maaren, and Toby Walsh, editors, Handbook of Satisfiability - Second Edition, volume 336 of Frontiers in Artificial Intelligence and Applications, pages 1267-1329. IOS Press, 2021. URL: https://doi.org/10.3233/FAIA201017.
  10. Armin Biere, Katalin Fazekas, Mathias Fleury, and Maximillian Heisinger. CaDiCaL, Kissat, Paracooba, Plingeling and Treengeling entering the SAT Competition 2020. In Tomas Balyo, Nils Froleyks, Marijn Heule, Markus Iser, Matti Järvisalo, and Martin Suda, editors, Proc. of SAT Competition 2020 - Solver and Benchmark Descriptions, volume B-2020-1 of Department of Computer Science Report Series B, pages 51-53. University of Helsinki, 2020. Google Scholar
  11. Nikolaj S. Bjørner, Clemens Eisenhofer, and Laura Kovács. Satisfiability modulo custom theories in Z3. In Cezara Dragoi, Michael Emmi, and Jingbo Wang, editors, Verification, Model Checking, and Abstract Interpretation - 24th International Conference, VMCAI 2023, Boston, MA, USA, January 16-17, 2023, Proceedings, volume 13881 of Lecture Notes in Computer Science, pages 91-105. Springer, 2023. URL: https://doi.org/10.1007/978-3-031-24950-1_5.
  12. Cristian Cadar, Daniel Dunbar, and Dawson R. Engler. KLEE: unassisted and automatic generation of high-coverage tests for complex systems programs. In Richard Draves and Robbert van Renesse, editors, 8th USENIX Symposium on Operating Systems Design and Implementation, OSDI 2008, December 8-10, 2008, San Diego, California, USA, Proceedings, pages 209-224. USENIX Association, 2008. URL: http://www.usenix.org/events/osdi08/tech/full_papers/cadar/cadar.pdf.
  13. Alessandro Cimatti, Alberto Griggio, Bastiaan Joost Schaafsma, and Roberto Sebastiani. The mathsat5 SMT solver. In Nir Piterman and Scott A. Smolka, editors, Tools and Algorithms for the Construction and Analysis of Systems - 19th International Conference, TACAS 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013, Rome, Italy, March 16-24, 2013. Proceedings, volume 7795 of Lecture Notes in Computer Science, pages 93-107. Springer, 2013. URL: https://doi.org/10.1007/978-3-642-36742-7_7.
  14. Leonardo Mendonça de Moura and Nikolaj Bjørner. Z3: an efficient SMT solver. In C. R. Ramakrishnan and Jakob Rehof, editors, Tools and Algorithms for the Construction and Analysis of Systems, 14th International Conference, TACAS 2008, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2008, Budapest, Hungary, March 29-April 6, 2008. Proceedings, volume 4963 of Lecture Notes in Computer Science, pages 337-340. Springer, 2008. URL: https://doi.org/10.1007/978-3-540-78800-3_24.
  15. Jo Devriendt, Bart Bogaerts, Broes De Cat, Marc Denecker, and Christopher Mears. Symmetry propagation: Improved dynamic symmetry breaking in SAT. In IEEE 24th International Conference on Tools with Artificial Intelligence, ICTAI 2012, Athens, Greece, November 7-9, 2012, pages 49-56. IEEE Computer Society, 2012. URL: https://doi.org/10.1109/ICTAI.2012.16.
  16. Niklas Eén and Niklas Sörensson. An extensible SAT-solver. In SAT, volume 2919 of Lecture Notes in Computer Science, pages 502-518. Springer, 2003. Google Scholar
  17. Katalin Fazekas, Armin Biere, and Christoph Scholl. Incremental inprocessing in SAT solving. In Mikolás Janota and Inês Lynce, editors, Theory and Applications of Satisfiability Testing - SAT 2019 - 22nd International Conference, SAT 2019, Lisbon, Portugal, July 9-12, 2019, Proceedings, volume 11628 of Lecture Notes in Computer Science, pages 136-154. Springer, 2019. URL: https://doi.org/10.1007/978-3-030-24258-9_9.
  18. Martin Gebser, Roland Kaminski, Benjamin Kaufmann, Max Ostrowski, Torsten Schaub, and Philipp Wanko. Theory solving made easy with clingo 5. In Manuel Carro, Andy King, Neda Saeedloei, and Marina De Vos, editors, Technical Communications of the 32nd International Conference on Logic Programming, ICLP 2016 TCs, October 16-21, 2016, New York City, USA, volume 52 of OASIcs, pages 2:1-2:15. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2016. URL: https://doi.org/10.4230/OASIcs.ICLP.2016.2.
  19. Ian P. Gent, Ian Miguel, and Neil C. A. Moore. Lazy explanations for constraint propagators. In Manuel Carro and Ricardo Peña, editors, Practical Aspects of Declarative Languages, 12th International Symposium, PADL 2010, Madrid, Spain, January 18-19, 2010. Proceedings, volume 5937 of Lecture Notes in Computer Science, pages 217-233. Springer, 2010. URL: https://doi.org/10.1007/978-3-642-11503-5_19.
  20. Patrice Godefroid, Michael Y. Levin, and David A. Molnar. SAGE: whitebox fuzzing for security testing. Commun. ACM, 55(3):40-44, 2012. URL: https://doi.org/10.1145/2093548.2093564.
  21. Carla P. Gomes, Ashish Sabharwal, and Bart Selman. Model counting. In Armin Biere, Marijn Heule, Hans van Maaren, and Toby Walsh, editors, Handbook of Satisfiability - Second Edition, volume 336 of Frontiers in Artificial Intelligence and Applications, pages 993-1014. IOS Press, 2021. URL: https://doi.org/10.3233/FAIA201009.
  22. Alexey Ignatiev, António Morgado, and João Marques-Silva. RC2: an efficient maxsat solver. J. Satisf. Boolean Model. Comput., 11(1):53-64, 2019. URL: https://doi.org/10.3233/SAT190116.
  23. Markus Kirchweger, Tomáš Peitl, and Stefan Szeider. Co-certificate learning with SAT modulo symmetries. In Proceedings of the 34th International Joint Conference on Artificial Intelligence, IJCAI 2023. AAAI Press/IJCAI, 2023. To appear. Google Scholar
  24. Markus Kirchweger, Tomáš Peitl, and Stefan Szeider. A SAT solver’s opinion on the Erdős-Faber-Lovász conjecture. In Meena Mahajan and Friedrich Slivovsky, editors, The 26th International Conference on Theory and Applications of Satisfiability Testing (SAT 2023), July 04-08, 2023, Alghero, Italy, LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023. to appear. Google Scholar
  25. Markus Kirchweger, Manfred Scheucher, and Stefan Szeider. A SAT attack on Rota’s basis conjecture. In Kuldeep S. Meel and Ofer Strichman, editors, 25th International Conference on Theory and Applications of Satisfiability Testing, SAT 2022, August 2-5, 2022, Haifa, Israel, volume 236 of LIPIcs, pages 4:1-4:18. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. URL: https://doi.org/10.4230/LIPIcs.SAT.2022.4.
  26. Markus Kirchweger, Manfred Scheucher, and Stefan Szeider. SAT-based generation of planar graphs. In Meena Mahajan and Friedrich Slivovsky, editors, The 26th International Conference on Theory and Applications of Satisfiability Testing (SAT 2023), July 04-08, 2023, Alghero, Italy, LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023. to appear. Google Scholar
  27. Markus Kirchweger and Stefan Szeider. SAT modulo symmetries for graph generation. In Laurent D. Michel, editor, 27th International Conference on Principles and Practice of Constraint Programming, CP 2021, Montpellier, France (Virtual Conference), October 25-29, 2021, volume 210 of LIPIcs, pages 34:1-34:16. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. URL: https://doi.org/10.4230/LIPIcs.CP.2021.34.
  28. K. Rustan M. Leino. Dafny: An automatic program verifier for functional correctness. In Edmund M. Clarke and Andrei Voronkov, editors, Logic for Programming, Artificial Intelligence, and Reasoning - 16th International Conference, LPAR-16, Dakar, Senegal, April 25-May 1, 2010, Revised Selected Papers, volume 6355 of Lecture Notes in Computer Science, pages 348-370. Springer, 2010. URL: https://doi.org/10.1007/978-3-642-17511-4_20.
  29. Zhengyu Li, Curtis Bright, and Vijay Ganesh. A SAT solver + computer algebra attack on the minimum Kochen–Specker problem. Technical report, School of Computer Science at the University of Windsor, November 2022. URL: https://cbright.myweb.cs.uwindsor.ca/reports/nmi-ks-preprint.pdf.
  30. Eugene M Luks and Amitabha Roy. The complexity of symmetry-breaking formulas. Annals of Mathematics and Artificial Intelligence, 41(1):19-45, 2004. Google Scholar
  31. Leonardo De Moura and Harald Rueß. Lemmas on demand for satisfiability solvers. In The 5th International Symposium on the Theory and Applications of Satisfiability Testing, SAT 2002, Cincinnati, USA, May 15, 2002, 2002. Google Scholar
  32. Alexander Nadel. Introducing intel(r) SAT solver. In Kuldeep S. Meel and Ofer Strichman, editors, 25th International Conference on Theory and Applications of Satisfiability Testing, SAT 2022, August 2-5, 2022, Haifa, Israel, volume 236 of LIPIcs, pages 8:1-8:23. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. URL: https://doi.org/10.4230/LIPIcs.SAT.2022.8.
  33. Alexander Nadel, Vadim Ryvchin, and Ofer Strichman. Preprocessing in incremental SAT. In Alessandro Cimatti and Roberto Sebastiani, editors, Theory and Applications of Satisfiability Testing - SAT 2012 - 15th International Conference, Trento, Italy, June 17-20, 2012. Proceedings, volume 7317 of Lecture Notes in Computer Science, pages 256-269. Springer, 2012. URL: https://doi.org/10.1007/978-3-642-31612-8_20.
  34. Aina Niemetz, Mathias Preiner, Clifford Wolf, and Armin Biere. Btor2 , BtorMC and Boolector 3.0. In Hana Chockler and Georg Weissenbacher, editors, Computer Aided Verification - 30th International Conference, CAV 2018, Held as Part of the Federated Logic Conference, FloC 2018, Oxford, UK, July 14-17, 2018, Proceedings, Part I, volume 10981 of Lecture Notes in Computer Science, pages 587-595. Springer, 2018. URL: https://doi.org/10.1007/978-3-319-96145-3_32.
  35. Robert Nieuwenhuis, Albert Oliveras, and Cesare Tinelli. Solving SAT and SAT modulo theories: From an abstract davis-putnam-logemann-loveland procedure to dpll(T). J. ACM, 53(6):937-977, 2006. URL: https://doi.org/10.1145/1217856.1217859.
  36. The International Satisfiability Modulo Theories Competition (SMT-COMP), 2022. URL: https://smt-comp.github.io/2022.
  37. Hantao Zhang. Combinatorial designs by SAT solvers. In Armin Biere, Marijn Heule, Hans van Maaren, and Toby Walsh, editors, Handbook of Satisfiability - Second Edition, volume 336 of Frontiers in Artificial Intelligence and Applications, pages 819-858. IOS Press, 2021. URL: https://doi.org/10.3233/FAIA201005.
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