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Intelligent Computer Mathematics: 14th International Conference, CICM 2021, Timisoara, Romania, July 26–31, 2021, Proceedings PDF

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Fairouz Kamareddine Claudio Sacerdoti Coen (Eds.) 3 3 Intelligent Computer 8 2 1 AI Mathematics N L 14th International Conference, CICM 2021 Timisoara, Romania, July 26–31, 2021 Proceedings 123 fi Lecture Notes in Arti cial Intelligence 12833 Subseries of Lecture Notes in Computer Science Series Editors Randy Goebel University of Alberta, Edmonton, Canada Yuzuru Tanaka Hokkaido University, Sapporo, Japan Wolfgang Wahlster DFKI and Saarland University, Saarbrücken, Germany Founding Editor Jörg Siekmann DFKI and Saarland University, Saarbrücken, Germany More information about this subseries at http://www.springer.com/series/1244 Fairouz Kamareddine Claudio Sacerdoti Coen (Eds.) (cid:129) Intelligent Computer Mathematics 14th International Conference, CICM 2021 – Timisoara, Romania, July 26 31, 2021 Proceedings 123 Editors FairouzKamareddine Claudio Sacerdoti Coen Heriot-Watt University University of Bologna Edinburgh,UK Bologna, Italy ISSN 0302-9743 ISSN 1611-3349 (electronic) Lecture Notesin Artificial Intelligence ISBN 978-3-030-81096-2 ISBN978-3-030-81097-9 (eBook) https://doi.org/10.1007/978-3-030-81097-9 LNCSSublibrary:SL7–ArtificialIntelligence ©SpringerNatureSwitzerlandAG2021 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartofthe material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynow knownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthisbookare believedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsortheeditors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictionalclaimsin publishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface Withthecontinuing,rapidprogressofdigitalmethodsincommunications,knowledge representation, processing, and discovery, the unique character and needs of mathe- matical information require unique approaches. Its specialized representations and capacity for creation and proof, both automatically and formally as well as manually, set mathematical knowledge apart. TheConferenceonIntelligentComputerMathematics(CICM)wasinitiallyformed in 2008 as a joint meeting of communities involved in computer algebra systems, automated theorem provers, and mathematical knowledge management, as well as those involved in a variety of aspects of scientific document archives. It has offered a venue for discussing, developing, and integrating the diverse, sometimes eclectic, approachesandresearch.Since2008,CICMhasbeenheldannually:Birmingham(UK, 2008), Grand Bend (Canada, 2009), Paris (France, 2010), Bertinoro (Italy, 2011), Bremen (Germany, 2012), Bath (UK, 2013), Coimbra (Portugal, 2014), Washington D. C. (USA, 2015), Bialystok (Poland, 202016), Edinburgh (UK, 2017), Linz(Austria,2018),Prague(CzechRepublic,2019)andBertinoro(Italy,2020).This latteredition,whichwasoriginallyscheduledtobeheldinBertinoro,Italy,washosted onlineduetotheCOVID-19pandemic.Thisyear’smeetingwassupposedtobeheldin Timisoara, Romania, but again due to the pandemic, it was held online (July 26–31, 2021). This year’s meeting exposed advances in formalizations, automatic theorem prov- ing, applications of machine learning to mathematical documents and proof search, search and classifications of mathematical documents, teaching and geometric rea- soning, and logic and systems, among other topics. This volume contains the contri- butions to this conference. From 38 formal submissions, the Program Committee (PC) accepted 20papers including 12full research papers, 7shorterpapers describing software systems or datasets and 1 paper highlighting development of systems and tools in the last year. All papers were reviewed by at least three PC members or external reviewers. The reviews were single-blind and included a response period in whichtheauthorscouldrespondandclarifypointsraisedbythereviewers.Inaddition tothemainsessions, theconferenceincluded adoctoral program,chairedbyYasmine Sharoda, which provided a forum for PhD students to present their research and get advicefromseniormembersofthecommunity.Additionally,thefollowingworkshops were scheduled: – The 31st OpenMath Workshop, organized by James Davenport and Michael Kohlhase. – The 2nd Workshop on Natural Formal Mathematics (NatFoM 2021), organized by Peter Koepke and Dennis Müller. – The 5th Workshop on Formal Mathematics for Mathematicians (FMM 2021), organized by Jasmine Blanchette and Adam Naumowicz. vi Preface – The 2nd Workshop on Formal Verification of Physical Systems (FVPS 2021), organized by Sofiene Tahar, Osman Hasan and Adnan Rashid. – The13thWorkshoponMathematicalUserInteraction(MathUI2021),organizedby Andrea Kohlhase. Finally, the conference included four invited talks: – Alessandro Cimatti (Fondazione Bruno Kessler, Italy): “Logic at work, and some research challenges for computer mathematics”. – MichaelKohlhase(FAUErlangen-Nürnberg,Germany):“ReferentialSemantics–a Concept for Bridging between Representations of mathematical/technical Docu- ments and Knowledge”. – Laura Kovacs (TU Vienna, Austria): “Induction in Saturation-Based Reasoning”. – Angus McIntyre (Emeritus Professor, Queen Mary University of London, UK): “Doing classical number theory in weak axiomatic systems”. A successful conference is due to the efforts of many people. We thank Madalina Erascu and her colleagues at the West University of Timisoara, Romania, for the difficult task of organizing a conference with the expectation of it being held face to facebutwiththedynamicsofCOVID-19makingitdifficulttoaccommodateinperson meetings. We are grateful to Serge Autexier for his publicity work. We also thank the authors of submitted papers, the PC for their reviews, and the organizers of the workshops, as well as the invited speakers and the participants of the conference. June 2021 F. Kamareddine C. Sacerdoti Coen Organization Program Committee Chairs Fairouz Kamareddine Heriot-Watt University, UK Claudio Sacerdoti Coen University of Bologna, Italy Program Committee Akiko Aizawa National Institute of Informatics, Japan Mauricio Ayala-Rincón Universidade de Brasilía, Brasil Frédéric Blanqui Inria, France Jacques Carette McMaster University, Canada Howard Cohl NIST, USA James H. Davenport University of Bath, UK Catherine Dubois ENSIIE-Samovar, France Jacques Fleuriot The University of Edinburgh, UK Osman Hasan National University of Sciences and Technology, Pakistan Jan Jakubuv Czech Technical University, Czech Republic Mateja Jamnik University of Cambridge, UK Moa Johansson Chalmers University of Technology, Sweden Cezary Kaliszyk University of Innsbruck, Austria Manfred Kerber University of Birmingham, UK Andrea Kohlhase University of Applied Sciences Neu-Ulm, Germany Adam Naumowicz InstituteofInformatics,UniversityofBialystok,Poland Olga Nevzorova Kazan Federal University, Russia Markus N. Rabe Google, USA Florian Rabe FAU Erlangen-Nürnberg, Germany Moritz Schubotz Universität Konstanz, Germany Stephan Schulz DHBW Stuttgart, Germany Volker Sorge University of Birmingham, UK Olaf Teschke FIZ Karlsruhe, Germany Joe Wells Heriot-Watt University, UK Makarius Wenzel sketis.net, Germany Wolfgang Windsteiger RISC Institute, Austria Richard Zanibbi Rochester Institute of Technology, USA viii Organization Additional Reviewers Thaynara Arielly de Lima Adnan Rashid Ciaran Dunne Max Rapp André Greiner-Petter Colin Rothgang Alexander Kirillovich Philipp Scharpf Artur Korniłowicz Jonas Schopf Dennis Müller Philipp Smola Miroslav Olšák René Thiemann Stanisław Purgał Josef Urban Invited Talks

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