Project-Team Toccata
Team, Visitors, External Collaborators
Overall Objectives
Research Program
Application Domains
Highlights of the Year
New Software and Platforms
New Results
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Dissemination
Bibliography
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Bibliography

Major publications by the team in recent years
  • 1F. Bobot, J.-C. Filliâtre, C. Marché, A. Paskevich.
    Let's Verify This with Why3, in: International Journal on Software Tools for Technology Transfer (STTT), 2015, vol. 17, no 6, pp. 709–727.
    http://hal.inria.fr/hal-00967132/en
  • 2S. Boldo, J.-H. Jourdan, X. Leroy, G. Melquiond.
    Verified Compilation of Floating-Point Computations, in: Journal of Automated Reasoning, February 2015, vol. 54, no 2, pp. 135-163.
    https://hal.inria.fr/hal-00862689
  • 3S. Boldo, G. Melquiond.
    Computer Arithmetic and Formal Proofs: Verifying Floating-point Algorithms with the Coq System, ISTE Press - Elsevier, December 2017.
    https://hal.inria.fr/hal-01632617
  • 4M. Clochard, L. Gondelman, M. Pereira.
    The Matrix Reproved, in: Journal of Automated Reasoning, 2018, vol. 60, no 3, pp. 365–383.
    https://hal.inria.fr/hal-01617437
  • 5S. Conchon, M. Iguernlala, K. Ji, G. Melquiond, C. Fumex.
    A Three-tier Strategy for Reasoning about Floating-Point Numbers in SMT, in: Computer Aided Verification, 2017.
    https://hal.inria.fr/hal-01522770
  • 6J.-C. Filliâtre, L. Gondelman, A. Paskevich.
    The Spirit of Ghost Code, in: Formal Methods in System Design, 2016, vol. 48, no 3, pp. 152–174.
    https://hal.archives-ouvertes.fr/hal-01396864v1
  • 7C. Fumex, C. Dross, J. Gerlach, C. Marché.
    Specification and Proof of High-Level Functional Properties of Bit-Level Programs, in: 8th NASA Formal Methods Symposium, Minneapolis, MN, USA, S. Rayadurgam, O. Tkachuk (editors), Lecture Notes in Computer Science, Springer, June 2016, vol. 9690, pp. 291–306.
    https://hal.inria.fr/hal-01314876
  • 8É. Martin-Dorel, G. Melquiond.
    Proving Tight Bounds on Univariate Expressions with Elementary Functions in Coq, in: Journal of Automated Reasoning, 2016.
    https://hal.inria.fr/hal-01086460
  • 9G. Melquiond, R. Rieu-Helft.
    A Why3 Framework for Reflection Proofs and its Application to GMP's Algorithms, in: 9th International Joint Conference on Automated Reasoning, Oxford, United Kingdom, D. Galmiche, S. Schulz, R. Sebastiani (editors), Lecture Notes in Computer Science, July 2018.
    https://hal.inria.fr/hal-01699754
  • 10P. Roux, M. Iguernlala, S. Conchon.
    A Non-linear Arithmetic Procedure for Control-Command Software Verification, in: 24th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS), Thessalonique, Greece, April 2018.
    https://hal.archives-ouvertes.fr/hal-01737737
Publications of the year

Doctoral Dissertations and Habilitation Theses

Articles in International Peer-Reviewed Journals

  • 12S. Boldo, F. Faissole, A. Chapoutot.
    Round-off error and exceptional behavior analysis of explicit Runge-Kutta methods, in: IEEE Transactions on Computers, 2019, forthcoming. [ DOI : 10.1109/TC.2019.2917902 ]
    https://hal.archives-ouvertes.fr/hal-01883843
  • 13D. Gallois-Wong, S. Boldo, P. Cuoq.
    Optimal Inverse Projection of Floating-Point Addition, in: Numerical Algorithms, 2019, forthcoming. [ DOI : 10.1007/s11075-019-00711-z ]
    https://hal.inria.fr/hal-01939097
  • 14A. Mahboubi, G. Melquiond, T. Sibut-Pinote.
    Formally Verified Approximations of Definite Integrals, in: Journal of Automated Reasoning, February 2019, vol. 62, no 2, pp. 281-300. [ DOI : 10.1007/s10817-018-9463-7 ]
    https://hal.inria.fr/hal-01630143
  • 15E. Neumann, F. Steinberg.
    Parametrised second-order complexity theory with applications to the study of interval computation, in: Theoretical Computer Science, 2019, forthcoming. [ DOI : 10.1016/j.tcs.2019.05.009 ]
    https://hal.inria.fr/hal-02148494
  • 16A. Volkova, T. Hilaire, C. Lauter.
    Arithmetic approaches for rigorous design of reliable Fixed-Point LTI filters, in: IEEE Transactions on Computers, 2019, pp. 1-14, forthcoming. [ DOI : 10.1109/TC.2019.2950658 ]
    https://hal.archives-ouvertes.fr/hal-01918650

Invited Conferences

  • 17J.-C. Filliâtre.
    Deductive Verification of OCaml Libraries, in: iFM 2019 - International Conference on integrated Formal Methods, Bergen, Norway, December 2019.
    https://hal.inria.fr/hal-02406253
  • 18J.-C. Filliâtre.
    Retour sur 25 ans de programmation avec OCaml, in: JFLA 2019 - Journées Francophones des Langages Applicatifs, Les Rousses, France, January 2019.
    https://hal.inria.fr/hal-02406208
  • 19G. Melquiond.
    Computer Arithmetic and Formal Proofs, in: 30èmes Journées Francophones des Langages Applicatifs, Les Rousses, France, N. Magaud (editor), January 2019.
    https://hal.inria.fr/hal-02013540

International Conferences with Proceedings

  • 20B. Becker, C. Marché.
    Ghost Code in Action: Automated Verification of a Symbolic Interpreter, in: VSTTE 2019 - 11th Working Conference on Verified Software: Tools, Techniques and Experiments, New York, United States, S. Chakraborty, J. A.Navas (editors), Lecture Notes in Computer Science, September 2019.
    https://hal.inria.fr/hal-02276257
  • 21C. Belo Lourenço, M. J. Frade, J. Sousa Pinto.
    A Generalized Program Verification Workflow Based on Loop Elimination and SA Form, in: FormaliSE 2019 - 7th International Conference on Formal Methods in Software Engineering, Montreal, Canada, May 2019.
    https://hal.inria.fr/hal-02431769
  • 22V. Blot, A. Bousalem, Q. Garchery, C. Keller.
    SMTCoq: automatisation expressive et extensible dans Coq, in: Journées Francophones des Langages Applicatifs, Les Rousses, France, January 2019.
    https://hal.archives-ouvertes.fr/hal-02369249
  • 23A. Charguéraud, J.-C. Filliâtre, C. Lourenço, M. Pereira.
    GOSPEL -Providing OCaml with a Formal Specification Language, in: FM 2019 - 23rd International Symposium on Formal Methods, Porto, Portugal, October 2019.
    https://hal.inria.fr/hal-02157484
  • 24M. Clochard, C. Marché, A. Paskevich.
    Deductive Verification with Ghost Monitors, in: Principles of Programming Languages, New Orleans, United States, 2020. [ DOI : 10.1145/3371070 ]
    https://hal.inria.fr/hal-02368284
  • 25S. Conchon, M. Roux.
    Reasoning about Universal Cubes in MCMT, in: Formal Methods and Software Engineering, Shenzhen, China, Lecture Notes in Computer Science, 2019, no 11852, pp. 270–285.
    https://hal.archives-ouvertes.fr/hal-02420588
  • 26T. Hilaire, H. Ouzia, B. Lopez.
    Optimal Word-Length Allocation for the Fixed-Point Implementation of Linear Filters and Controllers, in: 2019 IEEE 26th Symposium on Computer Arithmetic (ARITH), Kyoto, Japan, IEEE, June 2019, pp. 175-182. [ DOI : 10.1109/ARITH.2019.00040 ]
    https://hal.sorbonne-universite.fr/hal-02393851
  • 27A. Kawamura, F. Steinberg, H. Thies.
    Second-Order Linear-Time Computability with Applications to Computable Analysis, in: TAMC 2019 - 15th Annual Conference Theory and Applications of Models of Computation, Tokyo, Japan, T. V. Gopal, J. Watada (editors), LNCS - Lecture Notes in Computer Science, Springer, March 2019, vol. 11436, pp. 337-358.
    https://hal.inria.fr/hal-02148490
  • 28G. Melquiond, R. Rieu-Helft.
    Formal Verification of a State-of-the-Art Integer Square Root, in: ARITH-26 2019 - 26th IEEE 26th Symposium on Computer Arithmetic, Kyoto, Japan, S. Boldo, M. Langhammer (editors), June 2019, pp. 183-186. [ DOI : 10.1109/ARITH.2019.00041 ]
    https://hal.inria.fr/hal-02092970
  • 29F. Steinberg, H. Thies, L. Théry.
    Quantitative continuity and Computable Analysis in Coq, in: ITP 2019 - Tenth International Conference on Interactive Theorem Proving, Portland, United States, 2019, The version accepted to the conference can be accessed at https://drops.dagstuhl.de/opus/volltexte/2019/11083/. [ DOI : 10.4230/LIPIcs.ITP.2019.28 ]
    https://hal.archives-ouvertes.fr/hal-02426470

National Conferences with Proceedings

  • 30J.-C. Filliâtre.
    Mesurer la hauteur d'un arbre, in: Journées Francophones des Langages Applicatifs, Gruissan, France, January 2020.
    https://hal.inria.fr/hal-02315541
  • 31D. Gallois-Wong.
    Formalisation en Coq d'algorithmes de filtres numériques, in: Journées Francophones des Langages Applicatifs (JFLA) 2019, Les Rousses, France, Journées Francophones des Langages Applicatifs 2019, Nicolas Magaud, January 2019.
    https://hal.inria.fr/hal-01929531
  • 32Q. Garchery, C. Keller, C. Marché, A. Paskevich.
    Des transformations logiques passent leur certicat, in: Journées Francophones des Langages Applicatifs, Gruissan, France, 2020.
    https://hal.inria.fr/hal-02384946
  • 33R. Rieu-Helft.
    Un mécanisme de preuve par réflexion pour Why3 et son application aux algorithmes de GMP, in: JFLA 2019 - 30èmes Journées Francophones des Langages Applicatifs, Rousses, France, January 2019.
    https://hal.inria.fr/hal-01943010

Conferences without Proceedings

  • 34F. Faissole.
    Formalisation en Coq des erreurs d'arrondi de méthodes de Runge-Kutta pour les systèmes matriciels, in: AFADL 2019 - 18e journées Approches Formelles dans l'Assistance au Développement de Logiciels, Toulouse, France, June 2019.
    https://hal.archives-ouvertes.fr/hal-02391924

Scientific Books (or Scientific Book chapters)

  • 35Proceedings of the 26th Symposium on Computer Arithmetic (ARITH 2019), IEEE, Kyoto, June 2019. [ DOI : 10.1109/ARITH.2019.00005 ]
    https://hal.inria.fr/hal-02433652
  • 36T. Balabonski, S. Conchon, J.-C. Filliâtre, K. Nguyễn.
    Numérique et Sciences Informatiques, 30 leçons avec exercices corrigés, Ellipses, August 2019.
    https://hal.inria.fr/hal-02379073

Internal Reports

  • 37L. Andrès.
    Vérification par preuve formelle de propriétés fonctionnelles d'algorithme de classification, Université Paris Sud (Paris 11) - Université Paris Saclay, August 2019.
    https://hal.inria.fr/hal-02421484
  • 38B. Becker, N. Jeannerod, C. Marché, R. Treinen.
    Revision 2 of CoLiS language: formal syntax, semantics, concrete and symbolic interpreters, ANR, October 2019.
    https://hal.inria.fr/hal-02321743
  • 39M. Huisman, R. Monahan, P. Müller, A. Paskevich, G. Ernst.
    VerifyThis 2018: A Program Verification Competition, Université Paris-Saclay, January 2019.
    https://hal.inria.fr/hal-01981937
  • 40N. Jeannerod, C. Marché, Y. Régis-Gianas, M. Sighireanu, R. Treinen.
    Specification of UNIX Utilities, ANR, October 2019.
    https://hal.inria.fr/hal-02321691

Other Publications

  • 41B. Becker, N. Jeannerod, C. Marché, Y. Régis-Gianas, M. Sighireanu, R. Treinen.
    Analysing installation scenarios of Debian packages, 2019, working paper or preprint.
    https://hal.archives-ouvertes.fr/hal-02355602
  • 42S. Boldo, C. Q. Lauter, J.-M. Muller.
    Emulating round-to-nearest-ties-to-zero "augmented" floating-point operations using round-to-nearest-ties-to-even arithmetic, October 2019, working paper or preprint.
    https://hal.archives-ouvertes.fr/hal-02137968
  • 43M. Clochard.
    Méthodes et outils pour la spécification et la preuve de propriétés difficiles de programmes séquentiels (Documents de soutenance), February 2019.
    https://hal.inria.fr/hal-02047458
  • 44F. Faissole, G. Constantinides, D. Thomas.
    Formalizing loop-carried dependencies in Coq for high-level synthesis, April 2019, FCCM 2019 - 27th IEEE Symposium on Field-Programmable Custom Computing Machines, Poster.
    https://hal.archives-ouvertes.fr/hal-02391954
  • 45F. Steinberg, H. Thies.
    Some formal proofs of isomorphy and discontinuity, March 2019, MLA 2019 - Third Workshop on Mathematical Logic and its Applications.
    https://hal.inria.fr/hal-02019174
  • 46F. Steinberg, L. Théry, H. Thies.
    Quantitative continuity and computable analysis in Coq, April 2019, working paper or preprint.
    https://hal.inria.fr/hal-02088293
References in notes
  • 47A. Ayad, C. Marché.
    Multi-Prover Verification of Floating-Point Programs, in: Fifth International Joint Conference on Automated Reasoning, Edinburgh, Scotland, J. Giesl, R. Hähnle (editors), Lecture Notes in Artificial Intelligence, Springer, July 2010, vol. 6173, pp. 127–141.
    http://hal.inria.fr/inria-00534333
  • 48C. Barrett, C. L. Conway, M. Deters, L. Hadarean, D. Jovanović, T. King, A. Reynolds, C. Tinelli.
    CVC4, in: Proceedings of the 23rd international conference on Computer aided verification, Berlin, Heidelberg, CAV'11, Springer-Verlag, 2011, pp. 171–177.
  • 49P. Baudin, J.-C. Filliâtre, C. Marché, B. Monate, Y. Moy, V. Prevosto.
    ACSL: ANSI/ISO C Specification Language, version 1.4, 2009.
  • 50P. Behm, P. Benoit, A. Faivre, J.-M. Meynadier.
    METEOR : A successful application of B in a large project, in: Proceedings of FM'99: World Congress on Formal Methods, J. M. Wing, J. Woodcock, J. Davies (editors), Lecture Notes in Computer Science (Springer-Verlag), Springer Verlag, September 1999, pp. 369–387.
  • 51S. Boldo, F. Clément, J.-C. Filliâtre, M. Mayero, G. Melquiond, P. Weis.
    Formal Proof of a Wave Equation Resolution Scheme: the Method Error, in: Proceedings of the First Interactive Theorem Proving Conference, Edinburgh, Scotland, M. Kaufmann, L. C. Paulson (editors), LNCS, Springer, July 2010, vol. 6172, pp. 147–162.
    http://hal.inria.fr/inria-00450789/
  • 52S. Boldo, F. Clément, J.-C. Filliâtre, M. Mayero, G. Melquiond, P. Weis.
    Wave Equation Numerical Resolution: a Comprehensive Mechanized Proof of a C Program, in: Journal of Automated Reasoning, April 2013, vol. 50, no 4, pp. 423–456.
    http://hal.inria.fr/hal-00649240/en/
  • 53S. Boldo, J.-C. Filliâtre, G. Melquiond.
    Combining Coq and Gappa for Certifying Floating-Point Programs, in: 16th Symposium on the Integration of Symbolic Computation and Mechanised Reasoning, Grand Bend, Canada, Lecture Notes in Artificial Intelligence, Springer, July 2009, vol. 5625, pp. 59–74.
  • 54S. Boldo, C. Marché.
    Formal verification of numerical programs: from C annotated programs to mechanical proofs, in: Mathematics in Computer Science, 2011, vol. 5, pp. 377–393.
    http://hal.inria.fr/hal-00777605
  • 55S. Boldo, T. M. T. Nguyen.
    Proofs of numerical programs when the compiler optimizes, in: Innovations in Systems and Software Engineering, 2011, vol. 7, pp. 151–160.
    http://hal.inria.fr/hal-00777639
  • 56L. Burdy, Y. Cheon, D. R. Cok, M. D. Ernst, J. R. Kiniry, G. T. Leavens, K. R. M. Leino, E. Poll.
    An overview of JML tools and applications, in: International Journal on Software Tools for Technology Transfer (STTT), June 2005, vol. 7, no 3, pp. 212–232.
  • 57M. Clochard.
    Méthodes et outils pour la spécification et la preuve de propriétés difficiles de programmes séquentiels, Université Paris-Saclay, March 2018.
    https://tel.archives-ouvertes.fr/tel-01787689
  • 58S. Conchon, A. Coquereau, M. Iguernlala, A. Mebsout.
    Alt-Ergo 2.2, in: SMT Workshop: International Workshop on Satisfiability Modulo Theories, Oxford, United Kingdom, July 2018.
    https://hal.inria.fr/hal-01960203
  • 59C. Fumex, C. Marché, Y. Moy.
    Automating the Verification of Floating-Point Programs, in: Verified Software: Theories, Tools, and Experiments. Revised Selected Papers Presented at the 9th International Conference VSTTE, Heidelberg, Germany, A. Paskevich, T. Wies (editors), Lecture Notes in Computer Science, Springer, December 2017, no 10712.
    https://hal.inria.fr/hal-01534533/
  • 60N. Jeannerod, C. Marché, R. Treinen.
    A Formally Verified Interpreter for a Shell-like Programming Language, in: Verified Software: Theories, Tools, and Experiments. Revised Selected Papers Presented at the 9th International Conference VSTTE, Heidelberg, Germany, A. Paskevich, T. Wies (editors), Lecture Notes in Computer Science, Springer, December 2017, no 10712.
    https://hal.inria.fr/hal-01534747v1
  • 61N. Jeannerod, R. Treinen.
    Deciding the First-Order Theory of an Algebra of Feature Trees with Updates, in: 9th International Joint Conference on Automated Reasoning, Oxford, United Kingdom, July 2018.
    https://hal.archives-ouvertes.fr/hal-01807474
  • 62G. Klein, J. Andronick, K. Elphinstone, G. Heiser, D. Cock, P. Derrin, D. Elkaduwe, K. Engelhardt, R. Kolanski, M. Norrish, T. Sewell, H. Tuch, S. Winwood.
    seL4: Formal verification of an OS kernel, in: Communications of the ACM, June 2010, vol. 53, no 6, pp. 107–115.
  • 63X. Leroy.
    A formally verified compiler back-end, in: Journal of Automated Reasoning, 2009, vol. 43, no 4, pp. 363–446.
    http://hal.inria.fr/inria-00360768/en/
  • 64A. Mahboubi, G. Melquiond, T. Sibut-Pinote.
    Formally Verified Approximations of Definite Integrals, in: Proceedings of the 7th International Conference on Interactive Theorem Proving, Nancy, France, J. C. Blanchette, S. Merz (editors), Lecture Notes in Computer Science, August 2016, vol. 9807.
    https://hal.inria.fr/hal-01289616
  • 65J.-M. Muller, N. Brunie, F. de Dinechin, C.-P. Jeannerod, M. Joldes, V. Lefèvre, G. Melquiond, N. Revol, S. Torres.
    Handbook of Floating-point Arithmetic (2nd edition), Birkhäuser Basel, July 2018.
    https://hal.inria.fr/hal-01766584
  • 66T. M. T. Nguyen, C. Marché.
    Hardware-Dependent Proofs of Numerical Programs, in: Certified Programs and Proofs, J.-P. Jouannaud, Z. Shao (editors), Lecture Notes in Computer Science, Springer, December 2011, pp. 314–329.
    http://hal.inria.fr/hal-00772508
  • 67R. Rieu-Helft.
    Un mécanisme d'extraction vers C pour Why3, in: Vingt-neuvièmes Journées Francophones des Langages Applicatifs, Banyuls-sur-mer, France, S. Boldo, N. Magaud (editors), January 2018.
    https://hal.inria.fr/hal-01653153
  • 68F. de Dinechin, C. Lauter, G. Melquiond.
    Certifying the floating-point implementation of an elementary function using Gappa, in: IEEE Transactions on Computers, 2011, vol. 60, no 2, pp. 242–253.
    http://hal.inria.fr/inria-00533968/en/
  • 69S. de Gouw, J. Rot, F. S. de Boer, R. Bubel, R. Hähnle.
    , OpenJDK's Java.utils.Collection.sort() Is Broken: The Good, the Bad and the Worst CaseD. Kroening, C. S. Păsăreanu (editors), Springer International Publishing, Cham, 2015, pp. 273–289.
  • 70L. de Moura, N. Bjørner.
    Z3, An Efficient SMT Solver, in: TACAS, Lecture Notes in Computer Science, Springer, 2008, vol. 4963, pp. 337–340.

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