Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00423530
Approximate Reachability Analysis of Piecewise-Linear Dynamical Systems, Hybrid Systems: Computation and Control, pp.21-31, 2000. ,
DOI : 10.1007/3-540-46430-1_6
URL : https://hal.archives-ouvertes.fr/inria-00099316
The algorithmic analysis of hybrid systems, Theoretical Computer Science, vol.138, issue.1, pp.3-34, 1995. ,
DOI : 10.1016/0304-3975(94)00202-T
Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems, In Hybrid Systems, Lecture Notes in Computer Science, pp.209-229, 1992. ,
DOI : 10.1007/3-540-57318-6_30
A Modular Static Analysis Approach to Affine Loop Invariants Detection, Numerical and Symbolic Abstract Domains, pp.3-16, 2010. ,
DOI : 10.1016/j.entcs.2010.09.002
URL : https://hal.archives-ouvertes.fr/hal-00586338
A theory of timed automata, Theoretical Computer Science, vol.126, issue.2, pp.183-235, 1994. ,
DOI : 10.1016/0304-3975(94)90010-8
Hierarchical modeling and analysis of embedded systems, Proceedings of the IEEE, vol.91, issue.1, pp.11-28, 2003. ,
DOI : 10.1109/JPROC.2002.805817
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.612
Hybridization methods for the analysis of nonlinear systems, Acta Informatica, vol.12, issue.2, pp.451-476, 2007. ,
DOI : 10.1007/s00236-006-0035-7
URL : https://hal.archives-ouvertes.fr/hal-00157475
Reachability analysis of hybrid systems using counter-example guided predicate abstraction, 2002. ,
Coupling Policy Iteration with Semi-definite Relaxation to Compute Accurate Numerical Invariants in Static Analysis, European Symposium on Programming, pp.23-42, 2010. ,
DOI : 10.1007/978-3-642-11957-6_3
The tropical double description method, Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, pp.47-58, 2010. ,
Symbolic analysis for improving simulation coverage of Simulink/Stateflow models, Proceedings of the 7th ACM international conference on Embedded software, EMSOFT '08, pp.89-98, 2008. ,
DOI : 10.1145/1450058.1450071
Reachability analysis of dynamical systems having piecewise-constant derivatives, Theoretical Computer Science, vol.138, issue.1, pp.35-65, 1995. ,
DOI : 10.1016/0304-3975(94)00228-B
URL : http://doi.org/10.1016/0304-3975(94)00228-b
Semantic Translation of Simulink/Stateflow Models to Hybrid Automata Using Graph Transformations, Electronic Notes in Theoretical Computer Science, vol.109, pp.43-56, 2004. ,
DOI : 10.1016/j.entcs.2004.02.055
Computing the Transitive Closure of a Union of Affine Integer Tuple Relations, Combinatorial Optimization and Applications, pp.98-109, 2009. ,
DOI : 10.1007/978-3-642-02026-1_9
URL : https://hal.archives-ouvertes.fr/hal-00575959
State abstraction techniques for the verification of reactive circuits, Designing Correct Circuits, pp.197-203, 2002. ,
Divide and recycle: types and compilation for a hybrid synchronous language, Languages , Compilers, and Tools for Embedded Systems, pp.61-70, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00654112
A hybrid synchronous language with hierarchical automata, Proceedings of the ninth ACM international conference on Embedded software, EMSOFT '11, pp.137-148, 2011. ,
DOI : 10.1145/2038642.2038664
URL : https://hal.archives-ouvertes.fr/hal-00654113
Non-standard semantics of hybrid systems modelers, Journal of Computer and System Sciences, vol.78, issue.3, pp.877-910, 2012. ,
DOI : 10.1016/j.jcss.2011.08.009
URL : https://hal.archives-ouvertes.fr/hal-00766726
Property preserving simulations, Computer-Aided Verification, pp.260-273, 1992. ,
DOI : 10.1007/3-540-56496-9_21
The ESTEREL synchronous programming language and its mathematical semantics, Seminar on Concurrency, pp.389-448, 1985. ,
DOI : 10.1007/3-540-15670-4_19
URL : https://hal.archives-ouvertes.fr/inria-00076230
Design and Implementation of a Special-Purpose Static Program Analyzer for Safety-Critical Real-Time Embedded Software, The Essence of Computation, pp.85-108, 2002. ,
DOI : 10.1007/3-540-36377-7_5
URL : https://hal.archives-ouvertes.fr/inria-00528442
A static analyzer for large safety-critical software, Programming Language Design and Implementation, pp.196-207, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00128135
The synchronous languages twelve years later, Proceedings of the IEEE, pp.64-83, 2003. ,
DOI : 10.1109/jproc.2002.805826
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.71.6645
The fundamentals of hybrid systems modelers, 49th IEEE Conference on Decision and Control (CDC), pp.4180-4185, 2010. ,
DOI : 10.1109/CDC.2010.5717614
URL : https://hal.archives-ouvertes.fr/inria-00554271
Minimal model generation, Computer-Aided Verification, pp.197-203, 1991. ,
DOI : 10.1007/BFb0023733
FASTer Acceleration of Counter Automata in Practice, Tools and Algorithms for the Construction and Analysis of Systems, pp.576-590, 2004. ,
DOI : 10.1007/978-3-540-24730-2_42
FAST: Fast Acceleration of Symbolic Transition Systems, Computer-Aided Verification, pp.118-121, 2003. ,
DOI : 10.1007/978-3-540-45069-6_12
FAST: acceleration from theory to practice, International Journal on Software Tools for Technology Transfer, vol.15, issue.2, pp.401-424, 2008. ,
DOI : 10.1007/s10009-008-0064-3
Flat Acceleration in Symbolic Model Checking, Automated Technology for Verification and Analysis, pp.474-488, 2005. ,
DOI : 10.1007/11562948_35
Symbolic verification of communication protocols with infinite state spaces using QDDs. Formal Methods in System Design, pp.237-255, 1997. ,
Iterating Octagons, Lecture Notes in Computer Science, vol.19, issue.1, pp.337-351, 2009. ,
DOI : 10.1007/s10990-006-8609-1
URL : https://hal.archives-ouvertes.fr/hal-00374863
Synchronous programming with events and relations: the SIGNAL language and its semantics, Science of Computer Programming, vol.16, issue.2, pp.103-149, 1991. ,
DOI : 10.1016/0167-6423(91)90001-E
URL : http://doi.org/10.1016/0167-6423(91)90001-e
Composite model-checking: verification with type-specific symbolic representations, ACM Transactions on Software Engineering and Methodology, vol.9, issue.1, pp.3-50, 2000. ,
DOI : 10.1145/332740.332746
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.2196
Symbolic model checking of infinite state systems using presburger arithmetic, Computer-Aided Verification, pp.400-411, 1997. ,
DOI : 10.1007/3-540-63166-6_39
Widening Operators for Powerset Domains, Verification, Model Checking, and Abstract Interpretation Patricia M. Hill, and Enea Zaffanella. Not necessarily closed convex polyhedra and the double description method. Formal Aspects of Computing, pp.135-148222, 2004. ,
DOI : 10.1007/978-3-540-24622-0_13
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.103.219
Fast Acceleration of Ultimately Periodic Relations, Computer-Aided Verification, pp.227-242, 2010. ,
DOI : 10.1007/978-3-642-14295-6_23
URL : https://hal.archives-ouvertes.fr/hal-01418908
Perfect normal forms for discrete programs, 1987. ,
Combining control and data abstraction in the verification of hybrid systems, Computer-Aided Design of Integrated Circuits and Systems, vol.10, pp.1481-1494, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00786337
Modelling of complex systems: Systems as dataflow machines, Fundamenta Informaticae, vol.91, issue.2, pp.251-274, 2009. ,
Un cadre formel pour l'´ etude des systèmes industriels complexes: un exemple basé sur l'infrastructure de l'UMTS, 2006. ,
UPPAAL ??? a tool suite for automatic verification of real-time systems, Hybrid Systems, pp.232-243, 1995. ,
DOI : 10.1007/BFb0020949
Symbolic Methods for Exploring Infinite State Spaces, 1998. ,
Efficient chaotic iteration strategies with widenings, Formal Methods in Programming and their Applications, pp.128-141, 1993. ,
DOI : 10.1007/BFb0039704
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.3357
Analyse statique par interprétation abstraite de systèmes hybrides, 2008. ,
Graph-Based Algorithms for Boolean Function Manipulation, IEEE Transactions on Computers, vol.35, issue.8, pp.677-692, 1986. ,
DOI : 10.1109/TC.1986.1676819
On the complexity of VLSI implementations and graph representations of Boolean functions with application to integer multiplication, IEEE Transactions on Computers, vol.40, issue.2, pp.205-213, 1991. ,
DOI : 10.1109/12.73590
Symbolic Boolean manipulation with ordered binary-decision diagrams, ACM Computing Surveys, vol.24, issue.3, pp.293-318, 1992. ,
DOI : 10.1145/136035.136043
URL : http://akebono.stanford.edu/users/nanni/courses/EE318/bryant92.pdf
Verification of Hybrid Systems with Linear Differential Inclusions Using Ellipsoidal Approximations, Hybrid Systems: Computation and Control, pp.73-88, 2000. ,
DOI : 10.1007/3-540-46430-1_10
Symbolic verification with periodic sets, Computer-Aided Verification, pp.55-67, 1994. ,
DOI : 10.1007/3-540-58179-0_43
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.6568
Improving the variable ordering of OBDDs is NP-complete, IEEE Transactions on Computers, vol.45, issue.9, pp.993-1002, 1996. ,
DOI : 10.1109/12.537122
Verification of synchronous sequential machines based on symbolic execution, Automatic Verification Methods for Finite State Systems, pp.365-373, 1989. ,
DOI : 10.1007/3-540-52148-8_30
Bounded model checking using satisfiability solving, Formal Methods in System Design, vol.19, issue.1, pp.7-34, 2001. ,
DOI : 10.1023/A:1011276507260
Static determination of dynamic properties of programs, Proceedings of the Second International Symposium on Programming, pp.106-130, 1976. ,
Abstract interpretation, Proceedings of the 4th ACM SIGACT-SIGPLAN symposium on Principles of programming languages , POPL '77, pp.238-252, 1977. ,
DOI : 10.1145/512950.512973
URL : https://hal.archives-ouvertes.fr/inria-00528590
Systematic design of program analysis frameworks, Proceedings of the 6th ACM SIGACT-SIGPLAN symposium on Principles of programming languages , POPL '79, pp.269-282, 1979. ,
DOI : 10.1145/567752.567778
Abstract interpretation and application to logic programs, The Journal of Logic Programming, vol.13, issue.2-3, pp.103-179, 1992. ,
DOI : 10.1016/0743-1066(92)90030-7
Comparing the Galois connection and widening/narrowing approaches to abstract interpretation, Programming Language Implementation and Logic Programming, pp.269-295, 1992. ,
DOI : 10.1007/3-540-55844-6_142
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.537
The ASTRE?? Analyzer, European Symposium on Programming, pp.21-30, 2005. ,
DOI : 10.1007/978-3-540-31987-0_3
Why does ASTRÉEASTR´ASTRÉE scale up? Formal Methods in System Design, pp.229-264, 2009. ,
The Reduced Product of Abstract Domains and the Combination of Decision Procedures, Foundations of Software Science and Computation Structures, pp.456-472, 2011. ,
DOI : 10.1007/978-3-642-19805-2_31
A Policy Iteration Algorithm for Computing Fixed Points in Static Analysis of Programs, Computer-Aided Verification, pp.462-475, 2005. ,
DOI : 10.1007/11513988_46
Towards a higher-order synchronous data-flow language, Proceedings of the fourth ACM international conference on Embedded software , EMSOFT '04, pp.230-239, 2004. ,
DOI : 10.1145/1017753.1017792
Counterexample-Guided Abstraction Refinement, Computer-Aided Verification, pp.154-169, 2000. ,
DOI : 10.1007/10722167_15
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.407
Model checking and abstraction, ACM Transactions on Programming Languages and Systems, vol.16, issue.5, pp.1512-1542, 1994. ,
DOI : 10.1145/186025.186051
Automatic discovery of linear restraints among variables of a program, Proceedings of the 5th ACM SIGACT-SIGPLAN symposium on Principles of programming languages , POPL '78, pp.84-97, 1978. ,
DOI : 10.1145/512760.512770
Algorithm for finding a general formula for the non-negative solutions of a system of linear inequalities, USSR Computational Mathematics and Mathematical Physics, vol.5, issue.2, pp.228-233, 1965. ,
Synchronous Functional Programming with Lucid Synchrone, Real-Time Systems: Description and Verification Techniques: Theory and Tools. Hermes, 2008. ,
DOI : 10.1002/9780470611012.ch7
Multiple counters automata, safety analysis and presburger arithmetic, Computer-Aided Verification, pp.268-279, 1998. ,
DOI : 10.1007/BFb0028751
Computing polyhedral approximations to flow pipes for dynamic systems, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), pp.2089-2094, 1998. ,
DOI : 10.1109/CDC.1998.758642
Verification of Polyhedral-Invariant Hybrid Automata Using Polygonal Flow Pipe Approximations, Hybrid Systems: Computation and Control, pp.76-90, 1999. ,
DOI : 10.1007/3-540-48983-5_10
Verification of infinite-state dynamic systems using approximate quotient transition systems, IEEE Transactions on Automatic Control, vol.46, issue.9, pp.1401-1410, 2001. ,
DOI : 10.1109/9.948467
Computational techniques for hybrid system verification, IEEE Transactions on Automatic Control, vol.48, issue.1, pp.64-75, 2003. ,
DOI : 10.1109/TAC.2002.806655
Spectral transforms for large boolean functions with applications to technology mapping, Proceedings of the 30th international on Design automation conference , DAC '93, pp.54-60, 1993. ,
DOI : 10.1145/157485.164569
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.1009
The complexity of theorem-proving procedures, Symposium on Theory of Computing, pp.151-158, 1971. ,
Asynchronous iteration methods for solving a fixed point system of monotone equations in a complete lattice, 1977. ,
Semantic foundations of program analysis, Program Flow Analysis: Theory and Applications, pp.303-342, 1981. ,
Synchronous Kahn networks, International Conference on Functional Programming, pp.226-238, 1996. ,
DOI : 10.1145/232627.232651
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.9168
LUSTRE: a declarative language for real-time programming, Proceedings of the 14th ACM SIGACT-SIGPLAN symposium on Principles of programming languages , POPL '87, pp.178-188, 1987. ,
DOI : 10.1145/41625.41641
A conservative extension of synchronous data-flow with state machines, Proceedings of the 5th ACM international conference on Embedded software , EMSOFT '05, pp.173-182, 2005. ,
DOI : 10.1145/1086228.1086261
Test fonctionnel statistique de systèmes spécifiés en Lustre, 1999. ,
Discretizing affine hybrid automata with uncertainty. In Automated Technology for Verification and Analysis, Lecture Notes in Computer Science, pp.473-481, 2011. ,
DOI : 10.1007/978-3-642-24372-1_36
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.225.6994
Template-based unbouded time verification of affine hybrid automata, Asian Symposium on Programming Languages and Systems, pp.34-49, 2011. ,
DOI : 10.1007/978-3-642-25318-8_6
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.225.2533
Computing Reachable States for Nonlinear Biological Models, Computational Methods in Systems Biology, pp.126-141, 2009. ,
DOI : 10.1007/978-1-4613-8431-1
URL : http://doi.org/10.1016/j.tcs.2011.01.014
Towards an Industrial Use of FLUCTUAT on Safety-Critical Avionics Software, Formal Methods for Industrial Critical Systems, pp.53-69, 2009. ,
DOI : 10.1007/978-3-642-04570-7_6
Satisfiability solvers are static analyzers, Static Analysis Symposium, 2012. ,
Software Verification Using k-Induction, Static Analysis Symposium, pp.351-368, 2011. ,
DOI : 10.1007/3-540-40922-X_8
URL : http://spiral.imperial.ac.uk/bitstream/10044/1/14359/2/paper.pdf
Reachability analysis via face lifting, Hybrid Systems: Computation and Control, pp.96-109, 1998. ,
DOI : 10.1007/3-540-64358-3_34
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.4435
Introduction to Lattices and Order, 1990. ,
DOI : 10.1017/CBO9780511809088
Linear programming 1: Introduction, 1997. ,
Timed Parametrization of Embedded System Components, 2010. ,
SAT Modulo ODE: A Direct SAT Approach to Hybrid Systems, Automated Technology for Verification and Analysis, pp.171-185, 2008. ,
DOI : 10.1007/978-3-540-78929-1_30
Improving SAT Modulo ODE for Hybrid Systems Analysis by Combining Different Enclosure Methods, Software Engineering and Formal Methods, pp.172-187, 2011. ,
DOI : 10.1007/BFb0031569
URL : https://hal.archives-ouvertes.fr/hal-00630303
Modelica ??? A unified object-oriented language for system modeling and simulation, European Conference on Object-Oriented Programming, pp.67-90 ,
DOI : 10.1007/BFb0054087
SpaceEx: Scalable Verification of Hybrid Systems, Computer-Aided Verification, pp.379-395, 2011. ,
DOI : 10.1007/978-3-642-00768-2_32
URL : https://hal.archives-ouvertes.fr/hal-00769608
HySAT: An efficient proof engine for bounded model checking of hybrid systems, Formal Methods in System Design, vol.68, issue.2, pp.179-198, 2007. ,
DOI : 10.1007/s10703-006-0031-0
Efficient solving of large non-linear arithmetic constraint systems with complex boolean structure, Journal on Satisfiability Boolean Modeling and Computation, vol.1, pp.3-4209, 2007. ,
Differential equations with discontinuous right-hand sides, Mathematicheskii Sbornik, vol.51, issue.1, 1960. ,
Theorem Proving Using Lazy Proof Explication, Computer-Aided Verification, pp.355-367, 2003. ,
DOI : 10.1007/978-3-540-45069-6_34
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.9486
Parametric Verification and Test Coverage for Hybrid Automata Using the Inverse Method, Reachability Problems, pp.191-204, 2011. ,
DOI : 10.1007/978-3-642-24288-5_17
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.396.9532
How to Compose Presburger-Accelerations: Applications to Broadcast Protocols, Foundations of Software Technology and Theoretical Computer Science, pp.145-156, 2002. ,
DOI : 10.1007/3-540-36206-1_14
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.9119
Proving safety properties of infinite state systems by compilation into Presburger arithmetic, Concurrency Theory, pp.213-227, 1997. ,
DOI : 10.1007/3-540-63141-0_15
Double description method revisited, In Combinatorics and Computer Science Lecture Notes in Computer Science, vol.1120, pp.91-111, 1995. ,
DOI : 10.1007/3-540-61576-8_77
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.8343
Predicate abstraction for software verification, Principles of Programming Languages, pp.191-202, 2002. ,
PHAVer: Algorithmic Verification of Hybrid Systems Past HyTech, Hybrid Systems: Computation and Control, pp.258-273, 2005. ,
DOI : 10.1007/978-3-540-31954-2_17
´ Etude du débogage de systèmes réactifs et application au langage synchrone Lustre, 2003. ,
Strategieverbesserungsalgorithmen für exakte Programmanalysen, 2009. ,
Reachability analysis of hybrid systems using support functions, Computer-Aided Verification, pp.540-554, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00769527
Static Analysis by Policy Iteration on Relational Domains, European Symposium on Programming, pp.237-252, 2007. ,
DOI : 10.1007/978-3-540-71316-6_17
Combining Widening and Acceleration in Linear Relation Analysis, Static Analysis Symposium, pp.144-160, 2006. ,
DOI : 10.1007/11823230_10
URL : https://hal.archives-ouvertes.fr/hal-00189614
Donut Domains: Efficient Non-convex Domains for Abstract Interpretation, Verification, Model Checking, and Abstract Interpretation, pp.235-250, 2012. ,
DOI : 10.1007/978-3-540-69738-1_20
Reachability of Uncertain Linear Systems Using Zonotopes, Hybrid Systems: Computation and Control, pp.291-305, 2005. ,
DOI : 10.1007/978-3-540-31954-2_19
URL : https://hal.archives-ouvertes.fr/hal-00307003
Automatic state reaching for debugging reactive programs Hybrid cc, hybrid automata and program verification, Automated and Algorithmic Debugging Hybrid Systems, pp.52-63, 1995. ,
Reachability analysis using polygonal projections, Hybrid Systems: Computation and Control, pp.103-116, 1999. ,
Improving strategies via SMT solving, European Symposium on Programming, pp.236-255, 2011. ,
Asserting the Precision of Floating-Point Computations: A Simple Abstract Interpreter, European Symposium on Programming, pp.209-212, 2002. ,
DOI : 10.1007/3-540-45927-8_15
The ASPIC tool: Accelerated symbolic polyhedral invariant computation ,
Accélération abstraite pour l'amélioration de la précision en Analyse des Relations Linéaires, Thèse de doctorat, 2007. ,
Static Analysis of Numerical Algorithms, Static Analysis Symposium, pp.18-34, 2006. ,
DOI : 10.1007/11823230_3
Optimal domains for disjunctive abstract interpretation, Static Analysis Symposium, pp.177-210, 1998. ,
DOI : 10.1016/S0167-6423(97)00034-8
URL : http://doi.org/10.1016/s0167-6423(97)00034-8
Static analysis of linear congruence equalities among variables of a program, TAPSOFT, pp.169-192, 1991. ,
DOI : 10.1007/3-540-53982-4_10
Construction of abstract state graphs with PVS, Computer-Aided Verification, pp.72-83, 1997. ,
DOI : 10.1007/3-540-63166-6_10
Precise fixpoint computation through strategy iteration, European Symposium on Programming, pp.300-315, 2007. ,
Precise relational invariants through strategy iteration, In Computer Science Logic Lecture Notes in Computer Science, vol.4646, pp.23-40, 2007. ,
Precise interval analysis vs. parity games, Formal Methods, pp.342-357, 2008. ,
Computing relaxed abstract semantics w.r.t. quadratic zones precisely, Static Analysis Symposium, pp.271-286, 2010. ,
Solving systems of rational equations through strategy iteration, Transactions on Programming Languages and Systems, vol.33, issue.3, p.11, 2011. ,
Abstract interpretation meets convex optimization, Journal of Symbolic Computation, vol.47, issue.12, pp.1512-1532, 2012. ,
Constraint-Based Approach for Analysis of Hybrid Systems, Computer-Aided Verification, pp.190-203, 2008. ,
DOI : 10.1007/978-3-540-70545-1_18
Verifying safety properties of Lustre programs: an SMT-based approach, 2008. ,
Détermination automatique de relations linéaires vérifiées par les variables d'un programme, Thèse du 3` eme cycle, 1979. ,
Delay analysis in synchronous programs, Computer-Aided Verification, pp.333-346 ,
Synchronous programming of reactive systems, Kluwer, 1993. ,
Synchronous programming of reactive systems, Computer-Aided Verification, pp.1-16, 1998. ,
DOI : 10.1007/BFb0028726
SUNDIALS, ACM Transactions on Mathematical Software, vol.31, issue.3, pp.31363-396, 2005. ,
DOI : 10.1145/1089014.1089020
Hybrid automata with finite bisimulations, International Colloquium on Automata, Languages and Programming, pp.324-335, 1995. ,
The theory of hybrid automata, Logic in Computer Science, p.278, 1996. ,
Model checking strategies for linear hybrid systems, 1994. ,
HYTECH: a??model checker for hybrid systems, International Journal on Software Tools for Technology Transfer, vol.1, issue.1-2, pp.110-122, 1997. ,
DOI : 10.1007/s100090050008
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.2086
Algorithmic analysis of nonlinear hybrid systems, IEEE Transactions on Automatic Control, vol.43, issue.4, pp.225-238, 1998. ,
DOI : 10.1109/9.664156
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.472.2783
Logahedra: A new weakly relational domain In Automated Technology for Verification and Analysis, Lecture Notes in Computer Science, vol.5799, pp.306-320, 2009. ,
What's Decidable about Hybrid Automata?, Journal of Computer and System Sciences, vol.57, issue.1, pp.94-124, 1998. ,
DOI : 10.1006/jcss.1998.1581
Synchronous Observers and the Verification of Reactive Systems, Algebraic Methodology And Software Technology, Workshops in Computing, pp.83-96, 1993. ,
DOI : 10.1007/978-1-4471-3227-1_8
Symbolic model checking for real-time systems, Logic in Computer Science, pp.394-406, 1992. ,
Automatic Analysis of Hybrid Systems, 1995. ,
Verification of realtime systems using linear relation analysis, Formal Methods in System Design, vol.11, issue.2, pp.157-185, 1997. ,
DOI : 10.1023/A:1008678014487
Verification of linear hybrid systems by means of convex approximations, Static Analysis Symposium, pp.223-237, 1994. ,
Refining Static Analyses by Trace-Based Partitioning Using Control Flow, Static Analysis Symposium, pp.200-214, 1998. ,
DOI : 10.1007/3-540-49727-7_12
Scaling Up the Formal Verification of Lustre Programs with SMT-Based Techniques, 2008 Formal Methods in Computer-Aided Design, pp.1-9, 2008. ,
DOI : 10.1109/FMCAD.2008.ECP.19
Modeling time in hybrid systems: How fast is " instantaneous, International Joint Conference on Artificial Intelligence, pp.1773-1781, 1995. ,
BDDAPRON: A logico-numerical abstract domain library ,
Partitionnement Dynamique dans l'Analyse de Relations Linéaires et ApplicationàApplicationà la Vérification de Programmes Synchrones, Thèse de doctorat, 2000. ,
Dynamic partitioning in linear relation analysis. application to the verification of reactive systems, Formal Methods in System Design, vol.23, issue.1, pp.5-37, 2003. ,
DOI : 10.1023/A:1024480913162
Partial Evaluation and Automatic Program Generation, 1993. ,
Dynamic Partitioning in Analyses of Numerical Properties, Static Analysis Symposium, pp.39-50, 1999. ,
DOI : 10.1007/3-540-48294-6_3
TGV: theory, principles and algorithms, Tools and Algorithms for the Construction and Analysis of Systems, pp.297-315, 2005. ,
DOI : 10.1007/s10009-004-0153-x
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.4262
Apron: A Library of Numerical Abstract Domains for Static Analysis, Computer-Aided Verification, pp.661-667, 2009. ,
DOI : 10.1007/978-3-642-02658-4_52
URL : https://hal.archives-ouvertes.fr/hal-00786354
A new polynomial-time algorithm for linear programming, Combinatorica, vol.244, issue.S, pp.373-396, 1984. ,
DOI : 10.1007/BF02579150
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.1990
Introduction to Metamathematics, 1952. ,
Transitive Closure of Infinite Graphs and Its Applications, International Journal of Parallel Programming, vol.36, issue.12, pp.579-598, 1996. ,
DOI : 10.1007/BF03356760
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.2237
Monotone data flow analysis frameworks, Acta Informatica, vol.7, pp.305-317, 1977. ,
Ellipsoidal Techniques for Reachability Analysis, Hybrid Systems: Computation and Control, pp.202-214, 2000. ,
DOI : 10.1007/3-540-46430-1_19
Proving the Correctness of Multiprocess Programs, IEEE Transactions on Software Engineering, vol.3, issue.2, pp.125-143, 1977. ,
DOI : 10.1109/TSE.1977.229904
Widening with Thresholds for Programs with Complex Control Graphs, Automated Technology for Verification and Analysis, pp.492-502, 2011. ,
DOI : 10.1007/978-3-642-24372-1_38
URL : https://hal.archives-ouvertes.fr/inria-00606961
Algorithmique de la vérification des systèmessystèmesà compteurs ? Approximation et accélération ? Implémentation dans l'outil FAST, Thèse de doctorat, 2003. ,
AN INVITATION TO NONSTANDARD ANALYSIS, Nonstandard Analysis and its Applications, pp.1-105, 1988. ,
DOI : 10.1017/CBO9781139172110.002
Einschließung der Lösung gewöhnlicher Anfangs-und Randwertaufgaben und Anwendungen, 1988. ,
Flat Counter Automata Almost Everywhere!, Lecture Notes in Computer Science, vol.3707, pp.489-503, 2005. ,
DOI : 10.1007/11562948_36
URL : https://hal.archives-ouvertes.fr/hal-00346310
Acceleration in Convex Data-Flow Analysis, Foundations of Software Technology and Theoretical Computer Science, pp.520-531, 2007. ,
DOI : 10.1007/978-3-540-77050-3_43
URL : https://hal.archives-ouvertes.fr/hal-00346295
The Theory of Matrices, 1984. ,
Operational semantics of hybrid systems, Hybrid Systems: Computation and Control, pp.25-53, 2005. ,
Calcul symbolique et automates interprétés, 1996. ,
Abstract interpretation using typed decision graphs, Science of Computer Programming, vol.31, issue.1, pp.91-112, 1998. ,
DOI : 10.1016/S0167-6423(96)00042-1
URL : http://doi.org/10.1016/s0167-6423(96)00042-1
Using Bounded Model Checking to Focus Fixpoint Iterations, Static Analysis Symposium, pp.369-385, 2011. ,
DOI : 10.1007/11823230_2
URL : https://hal.archives-ouvertes.fr/hal-00600087
Computation: Finite and Infinite Machines, 1967. ,
A New Numerical Abstract Domain Based on Difference-Bound Matrices, Programs as Data Objects, pp.155-172, 2001. ,
DOI : 10.1007/3-540-44978-7_10
The octagon abstract domain, Working Conference on Reverse Engineering, pp.310-319, 2001. ,
A step towards verification and synthesis from simulink/stateflow models, Proceedings of the 14th international conference on Hybrid systems: computation and control, HSCC '11, pp.317-318, 2011. ,
DOI : 10.1145/1967701.1967749
Automatic modular abstractions for linear constraints, Principles of Programming Languages, pp.140-151, 2009. ,
DOI : 10.1145/1480881.1480899
URL : https://hal.archives-ouvertes.fr/hal-00336144
Interval Analysis, 1966. ,
The double description method, Contributions to the theory of games, 1953. ,
Algorithms and Data Structures in VLSI Design: OBDD Foundations and Applications, 1998. ,
DOI : 10.1007/978-3-642-58940-9
Level Set Methods for Computation in Hybrid Systems, Hybrid Systems: Computation and Control, pp.310-323, 2000. ,
DOI : 10.1007/3-540-46430-1_27
The Definition of Standard ML, 1990. ,
Integrating static analysis and generalpurpose theorem proving for termination analysis, International Conference on Software Engineering, pp.873-876, 2006. ,
Validated solutions of initial value problems for ordinary differential equations, Applied Mathematics and Computation, vol.105, issue.1, pp.21-68, 1999. ,
DOI : 10.1016/S0096-3003(98)10083-8
Implementation of Hybrid Automata in Scicos, 2007 IEEE International Conference on Control Applications, pp.819-824, 2007. ,
DOI : 10.1109/CCA.2007.4389334
Hanne Riis Nielson, and Chris Hankin. Principles of Program Analysis, 2005. ,
Hybrid modeling in Modelica based on the synchronous data flow principle, Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404), pp.22-27, 1999. ,
DOI : 10.1109/CACSD.1999.808640
Safety Verification of Hybrid Systems Using Barrier Certificates, Hybrid Systems: Computation and Control, pp.477-492, 2004. ,
DOI : 10.1007/978-3-540-24743-2_32
Differential Dynamic Logic for Hybrid Systems, Journal of Automated Reasoning, vol.30, issue.1, pp.143-189, 2008. ,
DOI : 10.1007/s10817-008-9103-8
Differential-algebraic Dynamic Logic for Differential-algebraic Programs, Journal of Logic and Computation, vol.20, issue.1, pp.309-352, 2010. ,
DOI : 10.1093/logcom/exn070
The temporal logic of programs, 18th Annual Symposium on Foundations of Computer Science (sfcs 1977), pp.46-57, 1977. ,
DOI : 10.1109/SFCS.1977.32
Lucid Synchrone: un langage synchrone d'ordre supérieur, 2002. ,
Lucid Synchrone Release version 3.0: Tutorial and Reference Manual, 2006. ,
KeYmaera: A Hybrid Theorem Prover for Hybrid Systems (System Description), International Joint Conference on Automated Reasoning, pp.171-178, 2008. ,
DOI : 10.1007/978-3-540-71070-7_15
¨ Uber die Vollständigkeit eines gewissen Systems der Arithmetik ganzer Zahlen, in welchem die Addition als einzige Operation hervortritt, Sprawozdanie z I Kongresu matematyków krajów s lowia´nskichlowia´nskich, pp.92-101, 1929. ,
Compilation efficace d'un langage déclaratif synchrone: Le générateur de code LUSTRE-V3, Thèse de doctorat, 1991. ,
SMT-AI: an Abstract Interpreter as Oracle for k-induction, Electronic Notes in Theoretical Computer Science, vol.267, issue.2, pp.55-68, 2010. ,
DOI : 10.1016/j.entcs.2010.09.018
The trace partitioning abstract domain, ACM Transactions on Programming Languages and Systems, vol.29, issue.5, p.26, 2007. ,
DOI : 10.1145/1275497.1275501
Non-Standard Analysis, Princeton Landmarks in Mathematics, 1996. ,
Lutin: A Language for Specifying and Executing Reactive Scenarios, EURASIP Journal on Embedded Systems, vol.9, issue.1, 2008. ,
DOI : 10.1007/s10009-006-0023-9
The phi-calculus: A language for distributed control of reconfigurable embedded systems, Hybrid Systems: Computation and Control, pp.435-449 ,
Safety verification of hybrid systems by constraint propagation-based abstraction refinement, Transactions on Embedded Computing Systems, vol.6, issue.1, 2007. ,
Dynamic variable ordering for ordered binary decision diagrams, International Conference on Computer-Aided Design, pp.42-47, 1993. ,
Programming with Infinitesimals: A While-Language for Hybrid System Modeling, International Colloquium on Automata, Languages and Programming, pp.392-403, 2011. ,
DOI : 10.1007/978-3-540-71070-7_15
Simulation and model-based design ,
Static Analysis in Disjunctive Numerical Domains, Static Analysis Symposium, pp.3-17, 2006. ,
DOI : 10.1007/11823230_2
Extending Abstract Acceleration Methods to Data-Flow Programs with Numerical Inputs, Numerical and Symbolic Abstract Domains, pp.101-114, 2010. ,
DOI : 10.1016/j.entcs.2010.09.009
URL : https://hal.archives-ouvertes.fr/hal-00749914
Logico-Numerical Abstract Acceleration and Application to the Verification of Data-Flow Programs, Static Analysis Symposium, pp.233-248 ,
DOI : 10.1007/s10703-006-0031-0
URL : https://hal.archives-ouvertes.fr/inria-00596241
Applying abstract acceleration to (co-)reachability analysis of reactive programs, Journal of Symbolic Computation, vol.47, issue.12, pp.1512-1532, 2012. ,
DOI : 10.1016/j.jsc.2011.12.051
URL : https://hal.archives-ouvertes.fr/hal-00753412
From hybrid data-flow languages to hybrid automata, Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control, HSCC '12, pp.167-176, 2012. ,
DOI : 10.1145/2185632.2185658
URL : https://hal.archives-ouvertes.fr/hal-00659698
From hybrid data-flow languages to hybrid automata: A complete translation, 2012. ,
Policy Iteration within Logico-Numerical Abstract Domains, Automated Technology for Verification and Analysis, pp.290-305, 2011. ,
DOI : 10.1007/978-3-642-24372-1_21
URL : https://hal.archives-ouvertes.fr/hal-00786321
Efficient Representation and Computation of Reachable Sets for Hybrid Systems, Hybrid Systems: Computation and Control, pp.482-497, 2003. ,
DOI : 10.1007/3-540-36580-X_35
Widening Polyhedra with Landmarks, Asian Symposium on Programming Languages and Systems, pp.166-182, 2006. ,
DOI : 10.1007/11924661_11
Logico-Numerical Max-Strategy Iteration, Verification, Model Checking, and Abstract Interpretation, pp.414-433, 2013. ,
DOI : 10.1007/978-3-642-35873-9_25
URL : https://hal.archives-ouvertes.fr/hal-00756833
Non-linear loop invariant generation using Gröbner bases, Principles of Programming Languages, pp.318-329, 2004. ,
Scalable Analysis of Linear Systems Using Mathematical Programming, Verification, Model Checking, and Abstract Interpretation, pp.25-41, 2005. ,
DOI : 10.1007/978-3-540-30579-8_2
Checking safety properties using induction and a sat-solver In Formal Methods in Computer-Aided Design Relational abstractions for continuous and hybrid systems, Computer-Aided Verification, pp.108-125, 1954. ,
A lattice-theoretical fixpoint theorem and its applications, Pacific Journal of Mathematics, vol.5, issue.2, 1955. ,
DOI : 10.2140/pjm.1955.5.285
URL : http://projecteuclid.org/download/pdf_1/euclid.pjm/1103044538
Approximate Reachability for Linear Systems, Hybrid Systems: Computation and Control, pp.514-525, 2003. ,
DOI : 10.1007/3-540-36580-X_37
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.117.5265
Abstractions for hybrid systems, Formal Methods in System Design, vol.92, issue.3, pp.57-83, 2008. ,
DOI : 10.1007/s10703-007-0044-3
Hybrid Control of Air Traffic Management Systems, 1998. ,
Translating discrete-time simulink to lustre, ACM Transactions on Embedded Computing Systems, vol.4, issue.4, pp.779-818, 2005. ,
DOI : 10.1145/1113830.1113834
Sliding modes in Control and optimization, 1992. ,
Syntax and consistent equation semantics of hybrid Chi, The Journal of Logic and Algebraic Programming, vol.68, issue.1-2, pp.129-210, 2006. ,
DOI : 10.1016/j.jlap.2005.10.005
A note on Chernikowa's algorithm, 1992. ,
Verifying systems with infinite but regular state spaces, Computer-Aided Verification, pp.88-97, 1998. ,
DOI : 10.1007/BFb0028736
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.8097
Fourier's method of linear programming and its dual, American Mathematical Monthly, vol.93, pp.681-695, 1986. ,
Symbolic approximations for verifying real-time systems, 1994. ,
Using Counterexamples for Improving the Precision of Reachability Computation with Polyhedra, Computer-Aided Verification, pp.352-365, 2007. ,
DOI : 10.1007/978-3-540-73368-3_40
A Library for Composite Symbolic Representations, Lecture Notes in Computer Science, vol.2031, pp.52-66, 2001. ,
DOI : 10.1007/3-540-45319-9_5
Beyond Zeno: Get on with It!, Lecture Notes in Computer Science, vol.3927, pp.568-582, 2006. ,
DOI : 10.1007/11730637_42
Combining theorem proving with static analysis for data structure consistency, Workshop on Software Verification and Validation, 2004. ,
Timed Relational Abstractions for Sampled Data Control Systems, Computer-Aided Verification, pp.343-361, 2012. ,
DOI : 10.1007/978-3-642-31424-7_27