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Khalil Ghorbal
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Books and Theses
- 2011
- [b1]Khalil Ghorbal:
Static Analysis of Numerical Programs: Constrained Affine Sets Abstract Domain. (Analyse Statique de Programmes Numériques: Ensembles Affines Contraints). École Polytechnique, Palaiseau, France, 2011
Journal Articles
- 2022
- [j6]Khalil Ghorbal, Andrew Sogokon:
Characterizing positively invariant sets: Inductive and topological methods. J. Symb. Comput. 113: 1-28 (2022) - 2017
- [j5]Khalil Ghorbal, Andrew Sogokon, André Platzer
:
A hierarchy of proof rules for checking positive invariance of algebraic and semi-algebraic sets. Comput. Lang. Syst. Struct. 47: 19-43 (2017) - [j4]Stefan Mitsch, Khalil Ghorbal, David Vogelbacher, André Platzer
:
Formal verification of obstacle avoidance and navigation of ground robots. Int. J. Robotics Res. 36(12): 1312-1340 (2017) - [j3]Jean-Baptiste Jeannin, Khalil Ghorbal, Yanni Kouskoulas, Aurora C. Schmidt, Ryan W. Gardner, Stefan Mitsch, André Platzer
:
A formally verified hybrid system for safe advisories in the next-generation airborne collision avoidance system. Int. J. Softw. Tools Technol. Transf. 19(6): 717-741 (2017) - [j2]Andrew Sogokon
, Khalil Ghorbal
, Taylor T. Johnson
:
Operational Models for Piecewise-Smooth Systems. ACM Trans. Embed. Comput. Syst. 16(5s): 185:1-185:19 (2017) - 2014
- [j1]Khalil Ghorbal, Jean-Baptiste Jeannin, Erik Zawadzki, André Platzer
, Geoffrey J. Gordon, Peter Capell:
Hybrid Theorem Proving of Aerospace Systems: Applications and Challenges. J. Aerosp. Inf. Syst. 11(10): 702-713 (2014)
Conference and Workshop Papers
- 2024
- [c17]Khalil Ghorbal
, Maxime Bridoux
:
Automated Reasoning For The Existence Of Darboux Polynomials. ISSAC 2024: 324-333 - 2018
- [c16]Andrew Sogokon
, Khalil Ghorbal
, Yong Kiam Tan
, André Platzer
:
Vector Barrier Certificates and Comparison Systems. FM 2018: 418-437 - 2017
- [c15]Albert Benveniste, Benoît Caillaud
, Hilding Elmqvist, Khalil Ghorbal, Martin Otter, Marc Pouzet:
Structural Analysis of Multi-Mode DAE Systems. HSCC 2017: 253-263 - [c14]Benjamin Martin, Khalil Ghorbal, Eric Goubault, Sylvie Putot:
Formal Verification of Station Keeping Maneuvers for a Planar Autonomous Hybrid System. FVAV@iFM 2017: 91-104 - 2016
- [c13]Andrew Sogokon, Khalil Ghorbal, Taylor T. Johnson:
Non-linear Continuous Systems for Safety Verification. ARCH@CPSWeek 2016: 42-51 - [c12]Andrew Sogokon, Khalil Ghorbal, Taylor T. Johnson
:
Decoupling Abstractions of Non-linear Ordinary Differential Equations. FM 2016: 628-644 - [c11]Andrew Sogokon, Khalil Ghorbal, Paul B. Jackson, André Platzer
:
A Method for Invariant Generation for Polynomial Continuous Systems. VMCAI 2016: 268-288 - 2015
- [c10]Jean-Baptiste Jeannin, Khalil Ghorbal, Yanni Kouskoulas, Ryan W. Gardner, Aurora C. Schmidt, Erik Zawadzki, André Platzer
:
Formal verification of ACAS X, an industrial airborne collision avoidance system. EMSOFT 2015: 127-136 - [c9]Jean-Baptiste Jeannin, Khalil Ghorbal, Yanni Kouskoulas, Ryan W. Gardner, Aurora C. Schmidt, Erik Zawadzki, André Platzer
:
A Formally Verified Hybrid System for the Next-Generation Airborne Collision Avoidance System. TACAS 2015: 21-36 - [c8]Khalil Ghorbal, Andrew Sogokon, André Platzer:
A Hierarchy of Proof Rules for Checking Differential Invariance of Algebraic Sets. VMCAI 2015: 431-448 - 2014
- [c7]Khalil Ghorbal, Andrew Sogokon, André Platzer:
Invariance of Conjunctions of Polynomial Equalities for Algebraic Differential Equations. SAS 2014: 151-167 - [c6]Khalil Ghorbal, André Platzer
:
Characterizing Algebraic Invariants by Differential Radical Invariants. TACAS 2014: 279-294 - 2013
- [c5]Stefan Mitsch, Khalil Ghorbal, André Platzer:
On Provably Safe Obstacle Avoidance for Autonomous Robotic Ground Vehicles. Robotics: Science and Systems 2013 - 2012
- [c4]Khalil Ghorbal, Parasara Sridhar Duggirala, Vineet Kahlon, Franjo Ivancic, Aarti Gupta:
Efficient Probabilistic Model Checking of Systems with Ranged Probabilities. RP 2012: 107-120 - [c3]Khalil Ghorbal, Franjo Ivancic, Gogul Balakrishnan, Naoto Maeda, Aarti Gupta:
Donut Domains: Efficient Non-convex Domains for Abstract Interpretation. VMCAI 2012: 235-250 - 2010
- [c2]Khalil Ghorbal, Eric Goubault, Sylvie Putot:
A Logical Product Approach to Zonotope Intersection. CAV 2010: 212-226 - 2009
- [c1]Khalil Ghorbal, Eric Goubault, Sylvie Putot:
The Zonotope Abstract Domain Taylor1+. CAV 2009: 627-633
Parts in Books or Collections
- 2019
- [p1]Albert Benveniste, Benoît Caillaud
, Hilding Elmqvist, Khalil Ghorbal, Martin Otter, Marc Pouzet:
Multi-Mode DAE Models - Challenges, Theory and Implementation. Computing and Software Science 2019: 283-310
Informal and Other Publications
- 2020
- [i4]Joan Thibault, Khalil Ghorbal:
Ordered Functional Decision Diagrams. CoRR abs/2003.09340 (2020) - [i3]Khalil Ghorbal, Andrew Sogokon:
Characterizing Positively Invariant Sets: Inductive and Topological Methods. CoRR abs/2009.09797 (2020) - 2016
- [i2]Stefan Mitsch, Khalil Ghorbal, David Vogelbacher, André Platzer:
Formal Verification of Obstacle Avoidance and Navigation of Ground Robots. CoRR abs/1605.00604 (2016) - 2010
- [i1]Khalil Ghorbal, Eric Goubault, Sylvie Putot:
A Logical Product Approach to Zonotope Intersection. CoRR abs/1002.2236 (2010)
Coauthor Index
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