Khalil Ghorbal
29
Documents
Présentation
I am currently a researcher at [INRIA](https://www.inria.fr/en/) (Rennes, France), in the [Hycomes](https://team.inria.fr/hycomes/) group. My research focuses on advancing and promoting the use of `formal methods` to design and analyze industrial-scale complex systems.
Publications
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Characterizing Positively Invariant Sets: Inductive and Topological MethodsJournal of Symbolic Computation, 2022
Article dans une revue
hal-03540862v1
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Operational Models for Piecewise-Smooth SystemsACM Transactions on Embedded Computing Systems (TECS), 2017, 16 (5s), pp.185:1--185:19. ⟨10.1145/3126506⟩
Article dans une revue
hal-01658196v1
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Formal verification of obstacle avoidance and navigation of ground robotsThe International Journal of Robotics Research, 2017, 36 (12), pp.1312--1340. ⟨10.1177/0278364917733549⟩
Article dans une revue
hal-01658197v1
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A Formally Verified Hybrid System for Safe Advisories in the Next-Generation Airborne Collision Avoidance SystemInternational Journal on Software Tools for Technology Transfer, 2017, 19 (6), pp.717-741. ⟨10.1007/s10009-016-0434-1⟩
Article dans une revue
hal-01232365v1
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A hierarchy of proof rules for checking positive invariance of algebraic and semi-algebraic setsComputer Languages, Systems and Structures, 2017, Special issue on the 16th International Conference on Verification, Model Checking, and Abstract Interpretation (VMCAI 2015), 47 (1), pp.19-43. ⟨10.1016/j.cl.2015.11.003⟩
Article dans une revue
hal-01232288v1
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Hybrid Theorem Proving of Aerospace Systems: Applications and ChallengesJ. Aerospace Inf. Sys., 2014, 11 (10), pp.702--713. ⟨10.2514/1.I010178⟩
Article dans une revue
hal-01660905v1
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Vector Barrier Certificates and Comparison SystemsFM 2018 - 22nd International Symposium on Formal Methods, Jul 2018, Oxford, United Kingdom. pp.418-437, ⟨10.1007/978-3-319-95582-7_25⟩
Communication dans un congrès
hal-01969800v1
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Formal Verification of Station Keeping Maneuvers for a Planar Autonomous Hybrid SystemFVAV 2017 - 1st Formal Verification of Autonomous Vehicles Workshop, Sep 2017, Turin, Italy. pp.91--104, ⟨10.4204/EPTCS.257.9⟩
Communication dans un congrès
hal-01657848v1
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Structural Analysis of Multi-Mode DAE SystemsProceedings of the 20th International Conference on Hybrid Systems: Computation and Control, {HSCC} 2017, Apr 2017, Pittsburgh, PA, United States. ⟨10.1145/3049797.3049806⟩
Communication dans un congrès
hal-01521918v1
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Non-linear Continuous Systems for Safety Verification (Benchmark Proposal)ARCH@CPSWeek 2016 - 3rd International Workshop on Applied Verification for Continuous and Hybrid Systems, Apr 2016, Vienna, Austria. pp.42-51
Communication dans un congrès
hal-01660900v1
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A Method for Invariant Generation for Polynomial Continuous SystemsVMCAI 2016 - 17th International Conference on Verification, Model Checking, and Abstract Interpretation, Jan 2016, St. Petersburg, Florida, United States. pp.268-288, ⟨10.1007/978-3-662-49122-5_13⟩
Communication dans un congrès
hal-01374902v1
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Decoupling Abstractions of Non-linear Ordinary Differential EquationsFM 2016 - 21st International Symposium of Formal Methods, Nov 2016, Limassol, Cyprus. pp.628-644, ⟨10.1007/978-3-319-48989-6_38⟩
Communication dans un congrès
hal-01374899v2
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A Formally Verified Hybrid System for the Next-Generation Airborne Collision Avoidance SystemTools and Algorithms for the Construction and Analysis of Systems - 21st International Conference, TACAS 2015, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2015, London, UK, April 11-18, 2015. Proceedings, 2015, London, United Kingdom. pp.21--36, ⟨10.1007/978-3-662-46681-0_2⟩
Communication dans un congrès
hal-01660903v1
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A Hierarchy of Proof Rules for Checking Differential Invariance of Algebraic SetsVerification, Model Checking, and Abstract Interpretation - 16th International Conference, VMCAI 2015, Mumbai, India, January 12-14, 2015. Proceedings, 2015, Mumbai, India. pp.431--448, ⟨10.1007/978-3-662-46081-8_24⟩
Communication dans un congrès
hal-01660901v1
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Formal verification of ACAS X, an industrial airborne collision avoidance system2015 International Conference on Embedded Software, EMSOFT 2015, Amsterdam, Netherlands, October 4-9, 2015, 2015, Amsterdam, Netherlands. pp.127--136, ⟨10.1109/EMSOFT.2015.7318268⟩
Communication dans un congrès
hal-01660902v1
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Invariance of Conjunctions of Polynomial Equalities for Algebraic Differential EquationsStatic Analysis - 21st International Symposium, SAS 2014, Munich, Germany, September 11-13, 2014. Proceedings, 2014, Munich, Germany. pp.151--167, ⟨10.1007/978-3-319-10936-7_10⟩
Communication dans un congrès
hal-01660906v1
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Characterizing Algebraic Invariants by Differential Radical InvariantsTools and Algorithms for the Construction and Analysis of Systems - 20th International Conference, TACAS 2014, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2014, Grenoble, France, April 5-13, 2014. Proceedings, 2014, Grenoble, France. pp.279--294, ⟨10.1007/978-3-642-54862-8_19⟩
Communication dans un congrès
hal-01660904v1
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On Provably Safe Obstacle Avoidance for Autonomous Robotic Ground VehiclesRobotics: Science and Systems IX, Technische Universität Berlin, Berlin, Germany, June 24 - June 28, 2013, 2013, Berlin, Germany
Communication dans un congrès
hal-01660907v1
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Efficient Probabilistic Model Checking of Systems with Ranged ProbabilitiesRP 2012 - Reachability Problems - 6th International Workshop, Sep 2012, Bordeaux, France. pp.107--120, ⟨10.1007/978-3-642-33512-9_10⟩
Communication dans un congrès
hal-01660909v1
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Donut Domains: Efficient Non-convex Domains for Abstract InterpretationVMCAI 2012 - Verification, Model Checking, and Abstract Interpretation - 13th International Conference, Jan 2012, Philadelphia, United States. pp.235--250, ⟨10.1007/978-3-642-27940-9_16⟩
Communication dans un congrès
hal-01660908v1
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A Logical Product Approach to Zonotope IntersectionComputer Aided Verification, 22nd International Conference, CAV 2010, Edinburgh, UK, July 15-19, 2010. Proceedings, 2010, Edinburgh, United Kingdom. pp.212--226, ⟨10.1007/978-3-642-14295-6_22⟩
Communication dans un congrès
hal-01660910v1
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Space Software Validation using Abstract InterpretationThe International Space System Engineering Conference : Data Systems in Aerospace - DASIA 2009, EUROSPACE, May 2009, Istambul, Turkey. pp.1-7
Communication dans un congrès
inria-00528590v1
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Multi-Mode DAE Models - Challenges, Theory and ImplementationComputing and Software Science: State of the Art and Perspectives, LNCS-10000, Springer, pp.283-310, 2019, Lecture Notes in Computer Science, 978-3-319-91907-2. ⟨10.1007/978-3-319-91908-9_16⟩
Chapitre d'ouvrage
hal-02333603v1
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On Covering Euclidean Spaces with Q-arrangements of Cones2024
Pré-publication, Document de travail
hal-04444572v1
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On Covering Smooth Manifolds with a Q-arrangement of Simplicies: An inductive Characterization of Q-matrices2022
Pré-publication, Document de travail
hal-03897633v1
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Ordered Functional Decision Diagrams[Research Report] RR-9333, Inria. 2020
Rapport
hal-02512117v1
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Functional Decision Diagrams: A Unifying Data Structure For Binary Decision Diagrams[Research Report] RR-9306, INRIA Rennes - Bretagne Atlantique and University of Rennes 1, France. 2019
Rapport
hal-02369112v3
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Structural Analysis of Multi-Mode DAE Systems[Research Report] RR-8933, Inria. 2017, pp.1-23
Rapport
hal-01343967v3
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Static Analysis of Numerical Programs: Constrained Affine Sets Abstract DomainSymbolic Computation [cs.SC]. Ecole Polytechnique X, 2011. English. ⟨NNT : ⟩
Thèse
pastel-00643442v1
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