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Julien Narboux

Associate Professor, University of Strasbourg, ICube Lab
50
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Automated generation of illustrated proofs in geometry and beyond

Predrag Janičić , Julien Narboux
Annals of Mathematics and Artificial Intelligence, 2023, https://link.springer.com/article/10.1007/s10472-023-09857-y. ⟨10.1007/s10472-023-09857-y⟩
Journal articles hal-04230795v1
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Theorem Proving as Constraint Solving with Coherent Logic

Predrag Janičić , Julien Narboux
Journal of Automated Reasoning, 2022, 66 (4), pp.689-746. ⟨10.1007/s10817-022-09629-z⟩
Journal articles hal-03632665v1
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Utilisation des assistants de preuves pour l’enseignement en L1

Marie Kerjean , Frédéric Le Roux , Patrick Massot , Micaela Mayero , Zoé Mesnil
La gazette des mathématiciens, 2022, 174
Journal articles hal-03979238v1

Découvrir des concepts informatiques autour des arbres binaires, Une série d’activités d’informatique débranchée

Basile Sauvage , Jean-Christophe Grimont , Régine Hamm-Audonnet , Julien Narboux
Repères, 2021, 125
Journal articles hal-03797893v1
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La cordée de la réussite "décodeuses d'informatique"

Julien Narboux , Cristel Pelsser , Basile Sauvage , Gaelle Thomas
1024 : Bulletin de la Société Informatique de France, 2021, 18, pp.87-89. ⟨10.48556/SIF.1024.18.87⟩
Journal articles hal-04476335v1
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Formalization of the Arithmetization of Euclidean Plane Geometry and Applications

Pierre Boutry , Gabriel Braun , Julien Narboux
Journal of Symbolic Computation, 2019, Special Issue on Symbolic Computation in Software Science, 90, pp.149-168. ⟨10.1016/j.jsc.2018.04.007⟩
Journal articles hal-01483457v1
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Proof-checking Euclid

Michael Beeson , Julien Narboux , Freek Wiedijk
Annals of Mathematics and Artificial Intelligence, 2019, pp.53. ⟨10.1007/s10472-018-9606-x⟩
Journal articles hal-01612807v3
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Parallel postulates and continuity axioms: a mechanized study in intuitionistic logic using Coq

Pierre Boutry , Charly Gries , Julien Narboux , Pascal Schreck
Journal of Automated Reasoning, 2019, 62 (1), pp.68. ⟨10.1007/s10817-017-9422-8⟩
Journal articles hal-01178236v2
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A synthetic proof of Pappus' theorem in Tarski's geometry

Gabriel Braun , Julien Narboux
Journal of Automated Reasoning, 2017, 58 (2), pp.23. ⟨10.1007/s10817-016-9374-4⟩
Journal articles hal-01176508v2
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Towards A Certified Version of the Encyclopedia of Triangle Centers

Julien Narboux , David Braun
Mathematics in Computer Science, 2016, 10 (1), pp.17. ⟨10.1007/s11786-016-0254-4⟩
Journal articles hal-01174131v2
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Automated Generation of Machine Verifiable and Readable Proofs: A Case Study of Tarski's Geometry

Sana Stojanovic Durdevic , Julien Narboux , Predrag Janicic
Annals of Mathematics and Artificial Intelligence, 2015, 73 (3), pp.25. ⟨10.1007/s10472-014-9443-5⟩
Journal articles hal-01091011v2
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Herbrand's theorem and non-Euclidean geometry

Michael Beeson , Pierre Boutry , Julien Narboux
Bulletin of Symbolic Logic, 2015, 21 (2), pp.12. ⟨10.1017/bsl.2015.6⟩
Journal articles hal-01071431v3
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A Case Study in Formalizing Projective Geometry in Coq: Desargues Theorem

Nicolas Magaud , Julien Narboux , Pascal Schreck
Computational Geometry, 2012, Special Issue on geometric reasoning, 45 (8), pp.406-424. ⟨10.1016/j.comgeo.2010.06.004⟩
Journal articles inria-00432810v2
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The Area Method : a Recapitulation

Predrag Janicic , Julien Narboux , Pedro Quaresma
Journal of Automated Reasoning, 2012, 48 (4), pp.489-532. ⟨10.1007/s10817-010-9209-7⟩
Journal articles hal-00426563v2
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A Graphical User Interface for Formal Proofs in Geometry.

Julien Narboux
Journal of Automated Reasoning, 2007, Special Issue on User Interfaces in Theorem Proving, 39 (2), pp.161-180. ⟨10.1007/s10817-007-9071-4⟩
Journal articles inria-00118903v1
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Automated Completion of Statements and Proofs in Synthetic Geometry: an Approach based on Constraint Solving

Salwa Tabet Gonzalez , Predrag Janičić , Julien Narboux
Automated Deduction in Geometry 2023, Vesna Marinkovic; Danijela Simić; Sana Stojanović Đurđević; Milan Banković, Sep 2023, Belgrade, Serbia
Conference papers hal-04226900v1
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Tutorial Laboratory - GeoCoq to formalize high-school geometry problems

Pierre Boutry , Julien Narboux
ADG 2023 - Automated Deduction in Geometry 2023, Predrag Janičić; Pedro Quaresma; Zoltán Kovács, Sep 2023, Belgrade, Serbia
Conference papers hal-04230732v1

Underlying theories of proof assistants and potential impact on the teaching and learning of proof

Evmorfia-Iro Bartzia , Emmanuel Beffara , Antoine Meyer , Julien Narboux
12th International Workshop on Theorem proving components for Educational software, Julien Narboux; Walther Neuper; Pedro Quaresma, Jul 2023, Rome, Italy
Conference papers hal-04227823v1

Formalisation, arithmetization and automatisation of geometry

Julien Narboux
Automated Deduction in Geometry 2023, Predrag Janičić; Pedro Quaresma; Zoltán Kovács; Vesna Marinković, Sep 2023, Belgrade, France
Conference papers hal-04226945v1
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Proof assistants for undergraduate mathematics and computer science education: elements of a priori analysis

Evmorfia Bartzia , Antoine Meyer , Julien Narboux
INDRUM 2022: Fourth conference of the International Network for Didactic Research in University Mathematics, Reinhard Hochmuth, Oct 2022, Hanovre, Germany
Conference papers hal-03648357v2
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Automated Generation of Illustrations for Synthetic Geometry Proofs

Predrag Janičić , Julien Narboux
Automated Deduction in Geometry, Zoltán Kovács, Sep 2021, Hagenberg, Austria. pp.91-102, ⟨10.4204/EPTCS.352.9⟩
Conference papers hal-03327987v1
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Semantic parsing of geometry statements using supervised machine learning on synthetic data

Salwa Tabet Gonzalez , Stéphane Graham-Lengrand , Julien Narboux , Natarajan Shankar
NatFoM 2021 - CICM Workshop, Peter Koepke, Bonn; Dennis Müller, Erlangen, Jul 2021, Timisoara, Romania
Conference papers hal-03327994v1
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Axiomes de continuité en géométrie neutre : une étude mécanisée en Coq

Charly Gries , Julien Narboux , Pierre Boutry
Journées Francophones des Langages Applicatifs 2019, Jan 2019, Les Rousses, France
Conference papers hal-01923814v2
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Somme des angles d'un triangle et unicité de la parallèle : une preuve d'équivalence formalisée en Coq

Charly Gries , Pierre Boutry , Julien Narboux
Les vingt-septièmes Journées Francophones des Langages Applicatifs (JFLA 2016), Jade Algave; Julien Signoles, Jan 2016, Saint Malo, France. pp.15
Conference papers hal-01228612v2
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From Tarski to Descartes: Formalization of the Arithmetization of Euclidean Geometry

Pierre Boutry , Gabriel Braun , Julien Narboux
SCSS 2016, the 7th International Symposium on Symbolic Computation in Software Science, Mar 2016, Tokyo, Japan. pp.14-28
Conference papers hal-01282550v1
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From Hilbert to Tarski

Gabriel Braun , Pierre Boutry , Julien Narboux
Eleventh International Workshop on Automated Deduction in Geometry, Jun 2016, Strasbourg, France. pp.19
Conference papers hal-01332044v1
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Using small scale automation to improve both accessibility and readability of formal proofs in geometry

Pierre Boutry , Julien Narboux , Pascal Schreck , Gabriel Braun
Automated Deduction in Geometry 2014, Jul 2014, Coimbra, Portugal. pp.1-19
Conference papers hal-00989781v2
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A short note about case distinctions in Tarski's geometry

Pierre Boutry , Julien Narboux , Pascal Schreck , Gabriel Braun
Automated Deduction in Geometry 2014, Jul 2014, Coimbra, Portugal. pp.1-15
Conference papers hal-00989785v2
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A Vernacular for Coherent Logic

Sana Stojanovic , Julien Narboux , Marc Bezem , Predrag Janicic
CICM 2014 - Conferences on Intelligent Computer Mathematics, Jul 2014, Coimbra, Portugal. pp.16, ⟨10.1007/978-3-319-08434-3_28⟩
Conference papers hal-00983975v2
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Dealing with arithmetic overflows in the polyhedral model

Bruno Cuervo Parrino , Julien Narboux , Eric Violard , Nicolas Magaud
IMPACT 2012 - 2nd International Workshop on Polyhedral Compilation Techniques, Louis-Noel Pouchet, Jan 2012, Paris, France
Conference papers hal-00655485v1
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Geometric Construction Problem Solving in Computer-Aided Learning

Pascal Schreck , Pascal Mathis , Julien Narboux
24th IEEE International Conference on Tools with Artificial Intelligence, Nov 2012, Athens, Greece. pp.1139 - 1144, ⟨10.1109/ICTAI.2012.162⟩
Conference papers hal-00753551v1
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From Tarski to Hilbert

Gabriel Braun , Julien Narboux
Automated Deduction in Geometry 2012, Jacques Fleuriot, Sep 2012, Edinburgh, United Kingdom. pp.89-109, ⟨10.1007/978-3-642-40672-0_7⟩
Conference papers hal-00727117v2
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A Coq-based Library for Interactive and Automated Theorem Proving in Plane Geometry

Tuan Minh Pham , Yves Bertot , Julien Narboux
The 11th International Conference on Computational Science and Its Applications (ICCSA 2011), Jun 2011, Santander, Spain. pp.368-383, ⟨10.1007/978-3-642-21898-9_32⟩
Conference papers inria-00584918v1
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Formalization of Wu's simple method in Coq

Jean-David Génevaux , Julien Narboux , Pascal Schreck
CPP 2011 First International Conference on Certified Programs and Proofs, Dec 2011, Kenting, Taiwan. pp.71-86, ⟨10.1007/978-3-642-25379-9_8⟩
Conference papers inria-00618745v2
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Formalizing Desargues' theorem in Coq using ranks in Coq

Nicolas Magaud , Julien Narboux , Pascal Schreck
24th Annual ACM Symposium on Applied Computing, Xiao-Shan Gao, Robert Joan-Arinyo, Dominique Michelucci, Mar 2009, Honolulu, United States. pp.1110-1115, ⟨10.1145/1529282.1529527⟩
Conference papers inria-00335719v1
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Formalizing Projective Plane Geometry in Coq

Nicolas Magaud , Julien Narboux , Pascal Schreck
Post-proceedings of Automated Deduction in Geometry (ADG) 2008, Thomas Sturm, Sep 2008, Shanghai, China. pp.141-162, ⟨10.1007/978-3-642-21046-4⟩
Conference papers inria-00305998v3
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Formal SOS-Proofs for the Lambda-Calculus

Christian Urban , Julien Narboux
Third Workshop on Logical and Semantic Frameworks, with Applications, Mauricio Ayala-Rincón, Aug 2008, Salvador, Brazil. pp.139-155, ⟨10.1016/j.entcs.2009.07.053⟩
Conference papers inria-00335718v1

GeoProof: A user interface for formal proofs in geometry

Julien Narboux
MathUI 07, Jun 2007, Linz, Austria
Conference papers inria-00495958v1
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Formalising in Nominal Isabelle Crary's Completeness Proof for Equivalence Checking.

Julien Narboux , Christian Urban
LFMTP'07, Jul 2007, Bremen, Germany. 15p., ⟨10.1016/j.entcs.2007.09.014⟩
Conference papers inria-00180061v2
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Mechanical Theorem Proving in Tarski's geometry.

Julien Narboux
Automated Deduction in Geometry 2006, Francisco Botana, Aug 2006, Pontevedra, Spain. pp.139-156, ⟨10.1007/978-3-540-77356-6⟩
Conference papers inria-00118812v1
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Toward the use of a proof assistant to teach mathematics

Julien Narboux
The Seventh International Conference on Technology in Mathematics Teaching (ICTMT7), Jul 2005, Bristol, United Kingdom
Conference papers inria-00495952v1
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A Decision Procedure for Geometry in Coq

Julien Narboux
Theorem Proving in Higher Order Logics 2004, Jul 2004, Park City, USA, United States. pp.225-240, ⟨10.1007/b100400⟩
Conference papers inria-00001035v1
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Proceedings of ADG 2016

Julien Narboux , Pascal Schreck , Ileana Streinu
, pp.224, 2016
Books hal-01334334v1

Automated Deduction in Geometry - 8th International Workshop, Revised Selected Papers

Julien Narboux , Schreck Pascal , Jürgen Richter-Gebert
Pascal Schreck and Julien Narboux and Jürgen Richter-Gebert. Springer, 6877, pp.258, 2011, Lecture Notes in Computer Science, 978-3-642-25069-9. ⟨10.1007/978-3-642-25070-5⟩
Books hal-00644313v1
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Combining pencil/paper proofs and formal proofs, a challenge for Artificial Intelligence and mathematics education

Julien Narboux , Viviane Durand-Guerrier
Richard P.R.; Vélez M.P.; Van Vaerenbergh S. Mathematics Education in the Age of Artificial Intelligence: How Intelligence can serve mathematical human learning, 17, Springer, pp.167-192, 2022, Mathematics Education in the Digital Era, 978-3-030-86908-3. ⟨10.1007/978-3-030-86909-0_8⟩
Book sections hal-03254579v1

Computer-assisted Theorem Proving in Synthetic Geometry

Julien Narboux , Predrag Janicic , Jacques Fleuriot
Meera Sitharam; Audrey St. John; Jessica Sidman. Handbook of Geometric Constraint Systems Principles, Chapman and Hall/CRC , inPress, Discrete Mathematics and Its Applications, 1498738915
Book sections hal-01779452v1