Publications by André Platzer (by area)

Table of Contents
  1. List of Publications
    1. Logic for Hybrid Systems
    2. Logic for Distributed Hybrid Systems
    3. Logic for Stochastic Hybrid Systems
    4. Logic for Hybrid Games
    5. Proof Theory
    6. Differential Invariants
    7. Model Checking & Statistical Model Checking
    8. Verification of Automotive Systems
    9. Verification of Railway Systems
    10. Verification of Aerospace Systems
    11. Verification of Robotics Systems
    12. Arithmetic & Computer Algebra
    13. Program Logics
    14. Logic & Probability
    15. Surveys
    16. Other
Logical Analysis of Hybrid Systems

List of Publications

[DBLP | Google Scholar | ORCID | by year | by area | abstracts | guide]

Also see publications by area and publication reading guide.

Logic for Hybrid Systems

  1. André Platzer.
    A complete uniform substitution calculus for differential dynamic logic.
    Journal of Automated Reasoning, 2016. © The author
    [bib | pdf | doi | arXiv | abstract]

  2. Sarah M. Loos and André Platzer.
    Differential refinement logic.
    ACM/IEEE Symposium on Logic in Computer Science, LICS 2016, July 5–8, 2016, New York, NY, USA, pages 505-514. ACM, 2016. © ACM
    [bib | pdf | doi | abstract]

  3. André Platzer.
    A uniform substitution calculus for differential dynamic logic.
    In Amy P. Felty and Aart Middeldorp, editors, International Conference on Automated Deduction, CADE'15, Berlin, Germany, Proceedings, volume 9195 of LNCS, pp. 467-481. Springer, 2015. © Springer-Verlag
    [bib | pdf | doi | slides | arXiv | abstract]

  4. Jean-Baptiste Jeannin and André Platzer.
    dTL2: Differential temporal dynamic logic with nested temporalities for hybrid systems.
    In Stéphane Demri, Deepak Kapur and Christoph Weidenbach, editors, Automated Reasoning, 7th International Joint Conference, IJCAR 2014, Vienna, Austria, July 19-22, 2014, Proceedings, volume 8562 of LNCS, pp. 292-306. Springer, 2014. © Springer-Verlag
    [bib | pdf | doi | slides | abstract]

  5. André Platzer.
    Dynamic logics of dynamical systems.
    arXiv:1205.4788, May 2012.
    [bib | pdf | arXiv | abstract]

  6. Jan-David Quesel and André Platzer.
    Playing hybrid games with KeYmaera.
    In Bernhard Gramlich, Dale Miller and Ulrike Sattler, editors, Automated Reasoning, 6th International Joint Conference, IJCAR'12, Manchester, UK, Proceedings, volume 7364 of LNCS, pp. 439-453. Springer, 2012. © Springer-Verlag
    [bib | pdf | doi | study | abstract]

  7. André Platzer.
    A differential operator approach to equational differential invariants.
    In Lennart Beringer and Amy Felty, editors, Interactive Theorem Proving, International Conference, ITP 2012, August 13-15, Princeton, USA, Proceedings, volume 7406 of LNCS, pp. 28-48. Springer, 2012. © Springer-Verlag
    Invited paper.
    [bib | pdf | doi | slides | abstract]

  8. André Platzer.
    Logics of dynamical systems.
    ACM/IEEE Symposium on Logic in Computer Science, LICS 2012, June 25–28, 2012, Dubrovnik, Croatia, pp. 13-24. IEEE 2012. © IEEE
    Invited paper.
    [bib | pdf | doi | slides | abstract]

  9. André Platzer.
    The complete proof theory of hybrid systems.
    ACM/IEEE Symposium on Logic in Computer Science, LICS 2012, June 25–28, 2012, Dubrovnik, Croatia, pp. 541-550. IEEE 2012. © IEEE
    [bib | pdf | doi | slides | TR | abstract]

  10. André Platzer.
    The structure of differential invariants and differential cut elimination.
    Logical Methods in Computer Science, 8(4), pp. 1-38, 2012. © The author
    [bib | pdf | doi | eprint | arXiv | abstract]

  11. André Platzer.
    Logic and compositional verification of hybrid systems.
    In Ganesh Gopalakrishnan and Shaz Qadeer, editors, Computer Aided Verification, CAV 2011, Snowbird, UT, USA, Proceedings, volume 6806 of LNCS, pp. 28-43. Springer, 2011. © Springer-Verlag
    Invited tutorial.
    [bib | pdf | doi | slides | abstract]

  12. André Platzer.
    Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics.
    Springer, 2010. 426 p. ISBN 978-3-642-14508-7.
    [bib | book | eBook | doi | web]

  13. André Platzer and Edmund M. Clarke.
    Computing differential invariants of hybrid systems as fixedpoints.
    Formal Methods in System Design, 35(1), pp. 98-120, 2009.
    Special issue for selected papers from CAV'08. © Springer-Verlag
    [bib | pdf | doi | study | CAV'08 | abstract]

  14. André Platzer.
    Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems.
    PhD Thesis, Department of Computing Science, University of Oldenburg, 2008.
    ACM Doctoral Dissertation Honorable Mention Award in 2009.
    Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.
    [bib | pdf | eprint | book | doi | web | abstract | slides]

  15. André Platzer and Edmund M. Clarke.
    Computing differential invariants of hybrid systems as fixedpoints.
    In Aarti Gupta and Sharad Malik, editors, Computer Aided Verification, CAV 2008, Princeton, USA, Proceedings, volume 5123 of LNCS, pp. 176-189, Springer, 2008. © Springer-Verlag
    [bib | pdf | doi | slides | study | TR | FMSD'09 | abstract]

  16. André Platzer.
    Differential-algebraic dynamic logic for differential-algebraic programs.
    Journal of Logic and Computation, 20(1), pp. 309-352, 2010. © The author
    Special issue for selected papers from TABLEAUX'07. Advance Access published on November 18, 2008 by Oxford University Press.
    [bib | pdf | doi | study | abstract]

  17. André Platzer.
    Differential dynamic logic for hybrid systems.
    Journal of Automated Reasoning, 41(2), pp. 143-189, 2008. © Springer-Verlag
    [bib | pdf | doi | study | abstract]

  18. André Platzer.
    Differential dynamic logic for verifying parametric hybrid systems.
    In Nicola Olivetti, editor, Automated Reasoning with Analytic Tableaux and Related Methods, International Conference, TABLEAUX 2007, Aix en Provence, France, July 3-6, 2007, Proceedings, volume 4548 of LNCS, pp. 216-232. Springer, 2007. © Springer-Verlag
    This paper was awarded the TABLEAUX Best Paper Award.
    [bib | pdf | doi | slides | study | TR | abstract]

  19. André Platzer.
    A temporal dynamic logic for verifying hybrid system invariants.
    In Sergei Artemov and Anil Nerode, editors, Logical Foundations of Computer Science, International Symposium, LFCS 2007, New York, USA, Proceedings, volume 4514 of LNCS, pp. 457-471. Springer, 2007. © Springer-Verlag
    [bib | pdf | doi | slides | study | TR | abstract]

  20. André Platzer.
    Differential logic for reasoning about hybrid systems.
    In Alberto Bemporad, Antonio Bicchi and Giorgio Buttazzo, editors, Hybrid Systems: Computation and Control, 10th International Conference, HSCC 2007, Pisa, Italy, Proceedings, volume 4416 of LNCS, pp. 746-749. Springer, 2007. © Springer-Verlag
    [bib | pdf | doi | poster | abstract]

  21. André Platzer.
    Towards a hybrid dynamic logic for hybrid dynamic systems.
    In Patrick Blackburn, Thomas Bolander, Torben Braüner, Valeria de Paiva and Jørgen Villadsen, editors, Proc., International Workshop on Hybrid Logic, HyLo 2006, Seattle, USA, Electr. Notes Theor. Comput. Sci. 174(6):63-77, 2007.
    [bib | pdf | doi | slides | abstract]

Logic for Distributed Hybrid Systems

  1. André Platzer.
    Dynamic logics of dynamical systems.
    arXiv:1205.4788, May 2012.
    [bib | pdf | arXiv | abstract]

  2. David W. Renshaw, Sarah M. Loos and André Platzer.
    Distributed theorem proving for distributed hybrid systems.
    In Shengchao Qin and Zongyan Qiu, editors, International Conference on Formal Engineering Methods, ICFEM'11, Durham, UK, Proceedings, volume 6991 of LNCS, pp. 356-371. Springer, 2011. © Springer-Verlag Errata fixed in author's version
    [bib | pdf | doi | tool | study | abstract]

  3. André Platzer.
    A complete axiomatization of quantified differential dynamic logic for distributed hybrid systems.
    Logical Methods in Computer Science, 8(4), pp. 1-44, 2012.
    Special issue for selected papers from CSL'10. © The author
    [bib | pdf | doi | eprint | arXiv | CSL'10 | abstract]

  4. André Platzer.
    Quantified differential invariants.
    In Emilio Frazzoli and Radu Grosu, editors, Proceedings of the 14th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2011, Chicago, USA, April 12-14, pp. 63-72. ACM, 2011. © ACM
    [bib | pdf | doi | slides | abstract]

  5. André Platzer.
    Quantified differential dynamic logic for distributed hybrid systems.
    In Anuj Dawar and Helmut Veith, editors, Computer Science Logic, 19th EACSL Annual Conference, CSL 2010, Brno, Czech Republic, August 23-27, 2010. Proceedings, volume 6247 of LNCS, pp. 469-483. Springer, 2010. © Springer-Verlag
    [bib | pdf | doi | slides | TR | LMCS'12 | abstract]

Logic for Stochastic Hybrid Systems

  1. André Platzer.
    Dynamic logics of dynamical systems.
    arXiv:1205.4788, May 2012.
    [bib | pdf | arXiv | abstract]

  2. André Platzer.
    Stochastic differential dynamic logic for stochastic hybrid programs.
    In Nikolaj Bjørner and Viorica Sofronie-Stokkermans, editors, International Conference on Automated Deduction, CADE'11, Wroclaw, Poland, Proceedings, volume 6803 of LNCS, pp. 431-445. Springer, 2011. © Springer-Verlag
    [bib | pdf | doi | slides | TR | abstract]

Logic for Hybrid Games

  1. André Platzer.
    Differential game logic.
    ACM Trans. Comput. Log. 17(1), pp. 1:1-1:52, 2015. © The author
    [bib | pdf | doi | arXiv | abstract]

  2. Jan-David Quesel and André Platzer.
    Playing hybrid games with KeYmaera.
    In Bernhard Gramlich, Dale Miller and Ulrike Sattler, editors, Automated Reasoning, 6th International Joint Conference, IJCAR'12, Manchester, UK, Proceedings, volume 7364 of LNCS, pp. 439-453. Springer, 2012. © Springer-Verlag
    [bib | pdf | doi | study | abstract]

  3. André Platzer.
    Differential Game Logic for Hybrid Games.
    School of Computer Science, Carnegie Mellon University, CMU-CS-12-105, March 2012.
    Also see new results.
    [bib | pdf | TOCL'15 | abstract]

Proof Theory

  1. André Platzer.
    A complete uniform substitution calculus for differential dynamic logic.
    Journal of Automated Reasoning, 2016. © The author
    [bib | pdf | doi | arXiv | abstract]

  2. André Platzer.
    The complete proof theory of hybrid systems.
    ACM/IEEE Symposium on Logic in Computer Science, LICS 2012, June 25–28, 2012, Dubrovnik, Croatia, pp. 541-550. IEEE 2012. © IEEE
    [bib | pdf | doi | slides | TR | abstract]

  3. André Platzer.
    The structure of differential invariants and differential cut elimination.
    Logical Methods in Computer Science, 8(4), pp. 1-38, 2012. © The author
    [bib | pdf | doi | eprint | arXiv | abstract]

  4. André Platzer.
    Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics.
    Springer, 2010. 426 p. ISBN 978-3-642-14508-7.
    [bib | book | eBook | doi | web]

  5. André Platzer.
    Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems.
    PhD Thesis, Department of Computing Science, University of Oldenburg, 2008.
    ACM Doctoral Dissertation Honorable Mention Award in 2009.
    Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.
    [bib | pdf | eprint | book | doi | web | abstract | slides]

  6. André Platzer.
    Differential-algebraic dynamic logic for differential-algebraic programs.
    Journal of Logic and Computation, 20(1), pp. 309-352, 2010. © The author
    Special issue for selected papers from TABLEAUX'07. Advance Access published on November 18, 2008 by Oxford University Press.
    [bib | pdf | doi | study | abstract]

  7. André Platzer.
    Differential dynamic logic for hybrid systems.
    Journal of Automated Reasoning, 41(2), pp. 143-189, 2008. © Springer-Verlag
    [bib | pdf | doi | study | abstract]

  8. Bernhard Beckert and André Platzer.
    Dynamic logic with non-rigid functions: A basis for object-oriented program verification.
    In Uli Furbach and Natarajan Shankar, editors, Automated Reasoning, Third International Joint Conference, IJCAR 2006, Seattle, WA, USA, August 17-20, 2006, Proceedings, volume 4130 of LNCS, pp. 266-280. Springer, 2006. © Springer-Verlag
    [bib | pdf | doi | slides | abstract]

  9. André Platzer.
    An Object-oriented Dynamic Logic with Updates.
    Master's Thesis, University of Karlsruhe, Department of Computer Science. Institute for Logic, Complexity and Deduction Systems, September 2004.
    Short version appeared as Dynamic logic with non-rigid functions: A basis for object-oriented program verification at IJCAR 2006.
    [bib | pdf | slides | abstract]

Differential Invariants

  1. André Platzer.
    A complete uniform substitution calculus for differential dynamic logic.
    Journal of Automated Reasoning, 2016. © The author
    [bib | pdf | doi | arXiv | abstract]

  2. Khalil Ghorbal, Andrew Sogokon, and André Platzer.
    A hierarchy of proof rules for checking positive invariance of algebraic and semi-algebraic sets.
    Computer Languages, Systems & Structures, 2016.
    Special issue for selected papers from VMCAI'15. © The authors
    [bib | pdf | doi | VMCAI'15 | abstract]

  3. André Platzer.
    A uniform substitution calculus for differential dynamic logic.
    In Amy P. Felty and Aart Middeldorp, editors, International Conference on Automated Deduction, CADE'15, Berlin, Germany, Proceedings, volume 9195 of LNCS, pp. 467-481. Springer, 2015. © Springer-Verlag
    [bib | pdf | doi | slides | arXiv | abstract]

  4. Khalil Ghorbal, Andrew Sogokon, and André Platzer.
    A hierarchy of proof rules for checking differential invariance of algebraic sets.
    In Deepak D'Souza, Akash Lal, and Kim Guldstrand Larsen, editors, Verification, Model Checking, and Abstract Interpretation - 16th International Conference, VMCAI 2015, Mumbai, India, January 12-14, 2015, Proceedings, volume 8931 of LNCS, pp. 431-448. Springer, 2015. © Springer-Verlag
    [bib | pdf | doi | slides | study | ComLan'16 | abstract]

  5. Khalil Ghorbal, Andrew Sogokon, and André Platzer.
    Invariance of conjunctions of polynomial equalities for algebraic differential equations.
    In Markus Müller-Olm and Helmut Seidl, editors, 21st International Static Analysis Symposium, volume 8723 of LNCS, pp. 151-167. Springer, 2014. © Springer-Verlag
    [bib | pdf | doi | study | abstract]

  6. Khalil Ghorbal and André Platzer.
    Characterizing algebraic invariants by differential radical invariants.
    In Erika Ábrahám and Klaus Havelund, editors, Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2014, Proceedings, volume 8413 of LNCS, pp. 279-294. Springer, 2014. © Springer-Verlag
    [bib | pdf | doi | slides | TR | abstract]

  7. André Platzer.
    Dynamic logics of dynamical systems.
    arXiv:1205.4788, May 2012.
    [bib | pdf | arXiv | abstract]

  8. André Platzer.
    A differential operator approach to equational differential invariants.
    In Lennart Beringer and Amy Felty, editors, Interactive Theorem Proving, International Conference, ITP 2012, August 13-15, Princeton, USA, Proceedings, volume 7406 of LNCS, pp. 28-48. Springer, 2012. © Springer-Verlag
    Invited paper.
    [bib | pdf | doi | slides | abstract]

  9. André Platzer.
    Logics of dynamical systems.
    ACM/IEEE Symposium on Logic in Computer Science, LICS 2012, June 25–28, 2012, Dubrovnik, Croatia, pp. 13-24. IEEE 2012. © IEEE
    Invited paper.
    [bib | pdf | doi | slides | abstract]

  10. André Platzer.
    The structure of differential invariants and differential cut elimination.
    Logical Methods in Computer Science, 8(4), pp. 1-38, 2012. © The author
    [bib | pdf | doi | eprint | arXiv | abstract]

  11. André Platzer.
    Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics.
    Springer, 2010. 426 p. ISBN 978-3-642-14508-7.
    [bib | book | eBook | doi | web]

  12. André Platzer and Edmund M. Clarke.
    Computing differential invariants of hybrid systems as fixedpoints.
    Formal Methods in System Design, 35(1), pp. 98-120, 2009.
    Special issue for selected papers from CAV'08. © Springer-Verlag
    [bib | pdf | doi | study | CAV'08 | abstract]

  13. André Platzer.
    Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems.
    PhD Thesis, Department of Computing Science, University of Oldenburg, 2008.
    ACM Doctoral Dissertation Honorable Mention Award in 2009.
    Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.
    [bib | pdf | eprint | book | doi | web | abstract | slides]

  14. André Platzer and Edmund M. Clarke.
    Computing differential invariants of hybrid systems as fixedpoints.
    In Aarti Gupta and Sharad Malik, editors, Computer Aided Verification, CAV 2008, Princeton, USA, Proceedings, volume 5123 of LNCS, pp. 176-189, Springer, 2008. © Springer-Verlag
    [bib | pdf | doi | slides | study | TR | FMSD'09 | abstract]

  15. André Platzer.
    Differential-algebraic dynamic logic for differential-algebraic programs.
    Journal of Logic and Computation, 20(1), pp. 309-352, 2010. © The author
    Special issue for selected papers from TABLEAUX'07. Advance Access published on November 18, 2008 by Oxford University Press.
    [bib | pdf | doi | study | abstract]

Model Checking & Statistical Model Checking

  1. Paolo Zuliani, André Platzer and Edmund M. Clarke.
    Bayesian statistical model checking with application to Simulink/Stateflow verification.
    Formal Methods in System Design, 43(2), pp. 338-367, 2013.
    Special issue on Probabilistic Model Checking. © Springer-Verlag
    [bib | pdf | doi | abstract]

  2. David Henriques, João G. Martins, Paolo Zuliani, André Platzer and Edmund M. Clarke.
    Statistical model checking for Markov decision processes.
    In 9th International Conference on Quantitative Evaluation of Systems, QEST 2012, September 17-20, London, UK, pp. 84-93. IEEE Computer Society, 2012. © IEEE
    [bib | pdf | doi | slides | study | abstract]

  3. João G. Martins, André Platzer and João Leite.
    Statistical model checking for distributed probabilistic control hybrid automata with smart grid applications.
    In Shengchao Qin and Zongyan Qiu, editors, International Conference on Formal Engineering Methods, ICFEM'11, Durham, UK, Proceedings, volume 6991 of LNCS, pp. 131-146. Springer, 2011. © Springer-Verlag
    [bib | pdf | doi | slides | study | abstract]

  4. Paolo Zuliani, André Platzer and Edmund M. Clarke.
    Bayesian statistical model checking with application to Simulink/Stateflow verification.
    In Karl Henrik Johansson and Wang Yi, editors, Proceedings of the 13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2010, Stockholm, Sweden, April 12-15, pp. 243-252. ACM, 2010. © ACM
    [bib | pdf | doi | TR | abstract]

  5. Sumit Kumar Jha, Edmund Clarke, Christopher Langmead, Axel Legay, André Platzer and Paolo Zuliani.
    A Bayesian approach to model checking biological systems.
    In Pierpaolo Degano and Roberto Gorrieri, editors, Computational Methods in Systems Biology, 7th International Conference, CMSB 2009, Bologna, Italy, Proceedings, volume 5688 of LNCS, pp. 218-234. Springer, 2009. © Springer-Verlag
    [bib | pdf | doi | TR | abstract]

  6. André Platzer and Edmund M. Clarke.
    The image computation problem in hybrid systems model checking.
    In Alberto Bemporad, Antonio Bicchi and Giorgio Buttazzo, editors, Hybrid Systems: Computation and Control, 10th International Conference, HSCC 2007, Pisa, Italy, Proceedings, volume 4416 of LNCS, pp. 473-486. Springer, 2007, © Springer-Verlag
    [bib | pdf | doi | slides | tool | abstract]

  7. Stephanie Kemper and André Platzer.
    SAT-based abstraction refinement for real-time systems.
    In Frank S. de Boer and Vladimir Mencl, editors, Formal Aspects of Component Software, Third International Workshop, FACS 2006, Prague, Czech Republic, Proceedings, Electr. Notes Theor. Comput. Sci., 182:107-122, 2007
    [bib | pdf | doi | slides | tool | abstract]

Verification of Automotive Systems

  1. Andreas Müller, Stefan Mitsch, Werner Retschitzegger, Wieland Schwinger and André Platzer.
    A component-based approach to hybrid systems safety verification.
    In Erika Abraham and Marieke Huisman, editors, Integrated Formal Methods - 12th International Conference, IFM 2016, Reykjavik, Iceland, June 1-4, 2016, Proceedings, volume 9681 of LNCS, pp. 441-456. Springer, 2016. © Springer-Verlag
    [bib | pdf | doi | slides | TR | abstract]

  2. Andreas Müller and Stefan Mitsch and André Platzer.
    Verified traffic networks: Component-based verification of cyber-physical flow systems.
    In Intelligent Transportation Systems (ITSC), 2015 IEEE 18th International Conference on, pp. 757-764, 2015. © IEEE
    [bib | doi | slides | abstract]

  3. Sarah M. Loos, David Witmer, Peter Steenkiste and André Platzer.
    Efficiency analysis of formally verified adaptive cruise controllers.
    In Andreas Hegyi and Bart De Schutter, editors, 16th International IEEE Conference on Intelligent Transportation Systems, ITSC'13, The Hague, Netherlands, Proceedings, 2013. © IEEE
    [bib | pdf | doi | slides | study | abstract]

  4. Nikos Aréchiga, Sarah M. Loos, André Platzer and Bruce H. Krogh.
    Using theorem provers to guarantee closed-loop system properties.
    In Dawn Tilbury, editor, American Control Conference, ACC, Montréal, Canada, June 27-29. pp. 3573-3580. 2012. © IEEE
    [bib | pdf | doi | abstract]

  5. Stefan Mitsch, Sarah M. Loos and André Platzer.
    Towards formal verification of freeway traffic control.
    In Chenyang Lu, editor, ACM/IEEE Third International Conference on Cyber-Physical Systems, Beijing, China, April 17-19. pp. 171-180, IEEE. 2012. © IEEE
    [bib | pdf | doi | slides | study | abstract]

  6. Sarah M. Loos and André Platzer.
    Safe intersections: At the crossing of hybrid systems and verification.
    In Kyongsu Yi, editor, 14th International IEEE Conference on Intelligent Transportation Systems, ITSC'11, Washington, DC, USA, Proceedings, pp. 1181-1186. 2011. © IEEE
    [bib | pdf | doi | slides | study | abstract]

  7. Sarah M. Loos, André Platzer and Ligia Nistor.
    Adaptive cruise control: Hybrid, distributed, and now formally verified.
    In Michael Butler and Wolfram Schulte, editors, 17th International Symposium on Formal Methods, FM, Limerick, Ireland, Proceedings, volume 6664 of LNCS, pp. 42-56. Springer, 2011. © Springer-Verlag
    [bib | pdf | doi | slides | study | TR | abstract]

  8. Paolo Zuliani, André Platzer and Edmund M. Clarke.
    Bayesian statistical model checking with application to Simulink/Stateflow verification.
    In Karl Henrik Johansson and Wang Yi, editors, Proceedings of the 13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2010, Stockholm, Sweden, April 12-15, pp. 243-252. ACM, 2010. © ACM
    [bib | pdf | doi | TR | abstract]

  9. André Platzer and Edmund M. Clarke.
    Computing differential invariants of hybrid systems as fixedpoints.
    Formal Methods in System Design, 35(1), pp. 98-120, 2009.
    Special issue for selected papers from CAV'08. © Springer-Verlag
    [bib | pdf | doi | study | CAV'08 | abstract]

  10. André Platzer.
    Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems.
    PhD Thesis, Department of Computing Science, University of Oldenburg, 2008.
    ACM Doctoral Dissertation Honorable Mention Award in 2009.
    Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.
    [bib | pdf | eprint | book | doi | web | abstract | slides]

Verification of Railway Systems

  1. André Platzer.
    Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics.
    Springer, 2010. 426 p. ISBN 978-3-642-14508-7.
    [bib | book | eBook | doi | web]

  2. André Platzer and Jan-David Quesel.
    European Train Control System: A case study in formal verification.
    In Karin Breitman and Ana Cavalcanti, editors, 11th International Conference on Formal Engineering Methods, ICFEM, Rio de Janeiro, Brasil, Proceedings, volume 5885 of LNCS, pp. 246-265. Springer, 2009. © Springer-Verlag
    [bib | pdf | doi | slides | study | TR | abstract]

  3. André Platzer.
    Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems.
    PhD Thesis, Department of Computing Science, University of Oldenburg, 2008.
    ACM Doctoral Dissertation Honorable Mention Award in 2009.
    Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.
    [bib | pdf | eprint | book | doi | web | abstract | slides]

  4. André Platzer and Jan-David Quesel.
    Logical verification and systematic parametric analysis in train control.
    In Magnus Egerstedt and Bud Mishra, editors, Hybrid Systems: Computation and Control, 11th International Conference, HSCC 2008, St. Louis, USA, Proceedings, volume 4981 of LNCS, pp. 646-649. Springer, 2008. © Springer-Verlag
    [bib | pdf | doi | poster | abstract]

  5. André Platzer.
    Differential dynamic logic for hybrid systems.
    Journal of Automated Reasoning, 41(2), pp. 143-189, 2008. © Springer-Verlag
    [bib | pdf | doi | study | abstract]

  6. André Platzer.
    Differential dynamic logic for verifying parametric hybrid systems.
    In Nicola Olivetti, editor, Automated Reasoning with Analytic Tableaux and Related Methods, International Conference, TABLEAUX 2007, Aix en Provence, France, July 3-6, 2007, Proceedings, volume 4548 of LNCS, pp. 216-232. Springer, 2007. © Springer-Verlag
    This paper was awarded the TABLEAUX Best Paper Award.
    [bib | pdf | doi | slides | study | TR | abstract]

Verification of Aerospace Systems

  1. Jean-Baptiste Jeannin, Khalil Ghorbal, Yanni Kouskoulas, Ryan Gardner, Aurora Schmidt, Erik Zawadzki, and André Platzer.
    Formal verification of ACAS X, an industrial airborne collision avoidance system.
    In Alain Girault and Nan Guan, editors, International Conference on Embedded Software, EMSOFT’15, Amsterdam, The Netherlands, Proceedings, pp. 127-136. IEEE Press, 2015. © IEEE
    [bib | pdf | doi | abstract]

  2. Jean-Baptiste Jeannin, Khalil Ghorbal, Yanni Kouskoulas, Ryan Gardner, Aurora Schmidt, Erik Zawadzki, and André Platzer.
    A formally verified hybrid system for the next-generation airborne collision avoidance system.
    In Christel Baier and Cesare Tinelli, editors, Tools and Algorithms for the Construction and Analysis of Systems - 21st International Conference, TACAS 2015, London, UK, April 11-18, 2015, Proceedings, volume 9035 of LNCS, pp. 21-36. Springer, 2015. © Springer-Verlag
    [bib | pdf | doi | study | TR | abstract]

  3. Khalil Ghorbal, Jean-Baptiste Jeannin, Erik P. Zawadzki, André Platzer, Geoffrey J. Gordon, and Peter Capell.
    Hybrid theorem proving of aerospace systems: Applications and challenges.
    Journal of Aerospace Information Systems, 11, pp. 702-713. 2014.
    Special issue on Software Challenges in Aerospace. © The authors
    [bib | pdf | doi | abstract]

  4. Sarah M. Loos, David W. Renshaw and André Platzer.
    Formal verification of distributed aircraft controllers.
    In Calin Belta and Franjo Ivancic, editors, Hybrid Systems: Computation and Control (part of CPS Week 2013), HSCC'13, Philadelphia, PA, USA, April 8-13, 2013, pp. 125-130. ACM, 2013. © ACM
    [bib | pdf | doi | slides | poster | study | TR | abstract]

  5. André Platzer.
    Quantified differential invariants.
    In Emilio Frazzoli and Radu Grosu, editors, Proceedings of the 14th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2011, Chicago, USA, April 12-14, pp. 63-72. ACM, 2011. © ACM
    [bib | pdf | doi | slides | abstract]

  6. André Platzer.
    Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics.
    Springer, 2010. 426 p. ISBN 978-3-642-14508-7.
    [bib | book | eBook | doi | web]

  7. André Platzer and Edmund M. Clarke.
    Formal verification of curved flight collision avoidance maneuvers: A case study.
    In Ana Cavalcanti and Dennis Dams, editors, 16th International Symposium on Formal Methods, FM, Eindhoven, Netherlands, Proceedings, volume 5850 of LNCS, pp. 547-562. Springer, 2009. © Springer-Verlag
    This paper was awarded the FM Best Paper Award.
    [bib | pdf | doi | slides | study | TR | abstract]

  8. André Platzer.
    Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems.
    PhD Thesis, Department of Computing Science, University of Oldenburg, 2008.
    ACM Doctoral Dissertation Honorable Mention Award in 2009.
    Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.
    [bib | pdf | eprint | book | doi | web | abstract | slides]

  9. André Platzer and Edmund M. Clarke.
    Computing differential invariants of hybrid systems as fixedpoints.
    Formal Methods in System Design, 35(1), pp. 98-120, 2009.
    Special issue for selected papers from CAV'08. © Springer-Verlag
    [bib | pdf | doi | study | CAV'08 | abstract]

  10. André Platzer and Edmund M. Clarke.
    Computing differential invariants of hybrid systems as fixedpoints.
    In Aarti Gupta and Sharad Malik, editors, Computer Aided Verification, CAV 2008, Princeton, USA, Proceedings, volume 5123 of LNCS, pp. 176-189, Springer, 2008. © Springer-Verlag
    [bib | pdf | doi | slides | study | TR | FMSD'09 | abstract]

  11. André Platzer.
    Differential-algebraic dynamic logic for differential-algebraic programs.
    Journal of Logic and Computation, 20(1), pp. 309-352, 2010. © The author
    Special issue for selected papers from TABLEAUX'07. Advance Access published on November 18, 2008 by Oxford University Press.
    [bib | pdf | doi | study | abstract]

Verification of Robotics Systems

  1. Stefan Mitsch, Jan-David Quesel, and André Platzer.
    From safety to guilty & from liveness to niceness.
    In Calin Belta and Hadas Kress-Gazit, editors, 5th Workshop on Formal Methods for Robotics and Automation, 2014. © The author
    [bib | pdf | eprint | abstract]

  2. Stefan Mitsch, Khalil Ghorbal and André Platzer.
    On provably safe obstacle avoidance for autonomous robotic ground vehicles.
    In Paul Newman, Dieter Fox, and David Hsu, editors, Robotics: Science and Systems, 2013. © The author
    [bib | pdf | slides | study | eprint | talk | abstract]

  3. Yanni Kouskoulas, André Platzer and Peter Kazanzides.
    Formal Methods for Robotic System Control Software.
    Johns Hopkins APL Technical Digest 32(2), pp. 490-498, 2013.
    [bib | pdf | abstract]

  4. Yanni Kouskoulas, David W. Renshaw, André Platzer and Peter Kazanzides.
    Certifying the safe design of a virtual fixture control algorithm for a surgical robot.
    In Calin Belta and Franjo Ivancic, editors, Hybrid Systems: Computation and Control (part of CPS Week 2013), HSCC'13, Philadelphia, PA, USA, April 8-13, 2013, pp. 263-272. ACM, 2013. © ACM
    [bib | pdf | doi | study | abstract]

Arithmetic & Computer Algebra

  1. Sicun Gao, André Platzer and Edmund M. Clarke.
    Quantifier elimination over finite fields with Gröbner bases.
    In Franz Winkler, editor, Algebraic Informatics, Fourth International Conference, CAI 2011, Linz, Austria, June 21-24, 2011, Proceedings, volume 6742 of LNCS, pp. 140-157. Springer, 2011. © Springer-Verlag
    [bib | pdf | doi | arXiv | abstract]

  2. André Platzer.
    Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics.
    Springer, 2010. 426 p. ISBN 978-3-642-14508-7.
    [bib | book | eBook | doi | web]

  3. André Platzer, Jan-David Quesel and Philipp Rümmer.
    Real world verification.
    In Renate A. Schmidt, editor, International Conference on Automated Deduction, CADE'09, Montreal, Canada, Proceedings, volume 5663 of LNCS, pp. 485-501. Springer, 2009. © Springer-Verlag
    [bib | pdf | doi | slides | TR | smtlib | abstract]
    Introduces a decision procedure for universal nonlinear real arithmetic combining Gröbner bases and semidefinite programming for the Real Nullstellensatz. An extended set of real arithmetic benchmarks from KeYmaera is available in smtlib, including the examples from CADE'09 paper and from some other KeYmaera-related papers.

  4. André Platzer.
    Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems.
    PhD Thesis, Department of Computing Science, University of Oldenburg, 2008.
    ACM Doctoral Dissertation Honorable Mention Award in 2009.
    Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.
    [bib | pdf | eprint | book | doi | web | abstract | slides]

  5. André Platzer.
    Combining deduction and algebraic constraints for hybrid system analysis.
    In Bernhard Beckert, editor, 4th International Verification Workshop, VERIFY'07, Workshop at Conference on Automated Deduction (CADE), Bremen, Germany, CEUR Workshop Proceedings, 259:164-178, 2007.
    [bib | pdf | slides | eprint | abstract]

Program Logics

  1. Bernhard Beckert and André Platzer.
    Dynamic logic with non-rigid functions: A basis for object-oriented program verification.
    In Uli Furbach and Natarajan Shankar, editors, Automated Reasoning, Third International Joint Conference, IJCAR 2006, Seattle, WA, USA, August 17-20, 2006, Proceedings, volume 4130 of LNCS, pp. 266-280. Springer, 2006. © Springer-Verlag
    [bib | pdf | doi | slides | abstract]

  2. André Platzer.
    An Object-oriented Dynamic Logic with Updates.
    Master's Thesis, University of Karlsruhe, Department of Computer Science. Institute for Logic, Complexity and Deduction Systems, September 2004.
    Short version appeared as Dynamic logic with non-rigid functions: A basis for object-oriented program verification at IJCAR 2006.
    [bib | pdf | slides | abstract]

  3. André Platzer.
    Using a Program Verification Calculus for Constructing Specifications from Implementations.
    Minor Thesis (Studienarbeit), University of Karlsruhe, Department of Computer Science. Institute for Logic, Complexity and Deduction Systems, February 2004.
    [bib | pdf | slides | abstract]

Logic & Probability

  1. Erik P. Zawadzki, André Platzer and Geoffrey J. Gordon.
    A generalization of SAT and #SAT for policy evaluation.
    In Francesca Rossi, editor, IJCAI 2013, Proceedings of the 23nd International Joint Conference on Artificial Intelligence, Beijing, China, August 3-9, 2013, pp. 2583-2589, IJCAI/AAAI, 2013.
    [bib | pdf | poster | eprint | TR | abstract]

  2. André Platzer.
    Dynamic logics of dynamical systems.
    arXiv:1205.4788, May 2012.
    [bib | pdf | arXiv | abstract]

  3. Erik P. Zawadzki, Geoffrey J. Gordon and André Platzer.
    An Instantiation-Based Theorem Prover for First-Order Programming.
    In 14th International Conference on Artificial Intelligence and Statistics (AISTATS) 2011, Fort Lauderdale, FL, USA, Proceedings, volume 15 of JMLR W&CP, pp. 855-863, 2011.
    [bib | pdf | proceedings | abstract]

  4. André Platzer.
    Stochastic differential dynamic logic for stochastic hybrid programs.
    In Nikolaj Bjørner and Viorica Sofronie-Stokkermans, editors, International Conference on Automated Deduction, CADE'11, Wroclaw, Poland, Proceedings, volume 6803 of LNCS, pp. 431-445. Springer, 2011. © Springer-Verlag
    [bib | pdf | doi | slides | TR | abstract]

Surveys

  1. André Platzer.
    Logic & proofs for cyber-physical systems.
    In Nicola Olivetti and Ashish Tiwari, editors, Automated Reasoning, 8th International Joint Conference, IJCAR 2016, Coimbra, Portugal, Proceedings, volume 9706 of LNCS, pp. 15-21. Springer, 2016. © Springer-Verlag
    Invited paper.
    [bib | pdf | doi | slides | abstract]

  2. Stefan Mitsch, André Platzer, Werner Retschitzegger and Wieland Schwinger.
    Logic-based modeling approaches for qualitative and hybrid reasoning in dynamic spatial systems.
    ACM Computing Surveys, 48(1), 2015. © ACM
    [bib | pdf | doi | abstract]

  3. Jan-David Quesel, Stefan Mitsch, Sarah Loos, Nikos Aréchiga, and André Platzer.
    How to model and prove hybrid systems with KeYmaera: A tutorial on safety.
    STTT. 18(1), pp. 67-91, 2016. © Springer-Verlag
    [bib | pdf | doi | abstract]

  4. André Platzer.
    Analog and hybrid computation: Dynamical systems and programming languages.
    Bulletin of the EATCS, 114, 2014. © author
    Invited paper in The Logic in Computer Science Column by Yuri Gurevich.
    [bib | pdf | eprint | abstract]

  5. André Platzer.
    Logical analysis of hybrid systems: A complete answer to a complexity challenge.
    Journal of Automata, Languages and Combinatorics, 17(2-4), pp. 265-275. 2012.
    Invited Paper
    [bib | pdf | abstract]

  6. André Platzer.
    Dynamic logics of dynamical systems.
    arXiv:1205.4788, May 2012.
    [bib | pdf | arXiv | abstract]

  7. André Platzer.
    Logical analysis of hybrid systems: A complete answer to a complexity challenge.
    In Martin Kutrib, Nelma Moreira and Rogério Reis, editors, Descriptional Complexity of Formal Systems, DCFS'12, Braga, Portugal, Proceedings, volume 7386 of LNCS, pp. 43-49. Springer, 2012. © Springer-Verlag
    Invited Paper
    [bib | pdf | doi | abstract]

  8. André Platzer.
    Logics of dynamical systems.
    ACM/IEEE Symposium on Logic in Computer Science, LICS 2012, June 25–28, 2012, Dubrovnik, Croatia, pp. 13-24. IEEE 2012. © IEEE
    Invited paper.
    [bib | pdf | doi | slides | abstract]

  9. André Platzer.
    Logic and compositional verification of hybrid systems.
    In Ganesh Gopalakrishnan and Shaz Qadeer, editors, Computer Aided Verification, CAV 2011, Snowbird, UT, USA, Proceedings, volume 6806 of LNCS, pp. 28-43. Springer, 2011. © Springer-Verlag
    Invited tutorial.
    [bib | pdf | doi | slides | abstract]

  10. André Platzer.
    Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics.
    Springer, 2010. 426 p. ISBN 978-3-642-14508-7.
    [bib | book | eBook | doi | web]

  11. André Platzer.
    Verification of cyberphysical transportation systems.
    IEEE Intelligent Systems, 24(4), pp. 10-13, Jul/Aug, 2009. © IEEE.
    Invited paper.
    [bib | doi | abstract]

  12. André Platzer.
    Differential dynamic logic: Automated theorem proving for hybrid systems.
    Künstliche Intelligenz, 24(1), pp. 75-77, 2010. © Springer-Verlag
    Invited paper.
    [bib | doi | abstract]

  13. Edmund M. Clarke, Bruce Krogh, André Platzer and Raj Rajkumar.
    Analysis and verification challenges for cyber-physical transportation systems.
    In NITRD National Workshop for Research on Transportation Cyber-Physical Systems: Automotive, Aviation, and Rail, 2008.
    Position paper.
    [bib | pdf | abstract]

  14. André Platzer.
    Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems.
    PhD Thesis, Department of Computing Science, University of Oldenburg, 2008.
    ACM Doctoral Dissertation Honorable Mention Award in 2009.
    Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.
    [bib | pdf | eprint | book | doi | web | abstract | slides]

Other

  1. Stefan Mitsch and André Platzer.
    ModelPlex: Verified runtime validation of verified cyber-physical system models.
    Formal Methods in System Design, 42 pages. 2016.
    Special issue for selected papers from RV'14. © The authors
    [bib | pdf | doi | RV'14 | abstract]

  2. Nathan Fulton, Stefan Mitsch, Jan-David Quesel, Marcus Völp and André Platzer.
    KeYmaera X: An aXiomatic tactical theorem prover for hybrid systems.
    In Amy P. Felty and Aart Middeldorp, editors, International Conference on Automated Deduction, CADE'15, Berlin, Germany, Proceedings, volume 9195 of LNCS, pp. 527-538. Springer, 2015. © Springer-Verlag
    [bib | pdf | doi | slides | poster | tool | abstract]

  3. André Platzer.
    Teaching CPS foundations with contracts.
    First Workshop on Cyber-Physical Systems Education, pp. 7-10. 2013.
    [bib | pdf | slides | poster | eprint | course | abstract]

  4. Nikos Aréchiga, Sarah M. Loos, André Platzer and Bruce H. Krogh.
    Using theorem provers to guarantee closed-loop system properties.
    In Dawn Tilbury, editor, American Control Conference, ACC, Montréal, Canada, June 27-29. pp. 3573-3580. 2012. © IEEE
    [bib | pdf | doi | abstract]

  5. Akshay Rajhans, Ajinkya Bhave, Sarah M. Loos, Bruce H. Krogh, André Platzer and David Garlan.
    Using parameters in architectural views to support heterogeneous design and verification.
    In 50th IEEE Conference on Decision and Control and European Control Conference. pp. 2705-2710, IEEE. 2011. © IEEE
    [bib | pdf | doi | abstract]

  6. André Platzer and Jan-David Quesel.
    KeYmaera: A hybrid theorem prover for hybrid systems.
    In Alessandro Armando, Peter Baumgartner and Gilles Dowek, editors, Automated Reasoning, Fourth International Joint Conference, IJCAR 2008, Sydney, Australia, Proceedings, volume 5195 of LNCS, pp. 171-178. Springer, 2008. © Springer-Verlag
    [bib | pdf | doi | slides | tool | abstract]

  7. Werner Damm, Alfred Mikschl, Jens Oehlerking, Ernst-Rüdiger Olderog, Jun Pang, André Platzer, Marc Segelken and Boris Wirtz.
    Automating verification of cooperation, control, and design in traffic applications.
    In Cliff Jones, Zhiming Liu and Jim Woodcock, editors, Formal Methods and Hybrid Real-Time Systems, volume 4700 of LNCS, pp. 115-169. Springer, 2007. © Springer-Verlag
    Invited paper.
    [bib | pdf | doi | abstract]

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