Kevin Buzzard Temur Kutsia (Eds.) 7 6 Intelligent Computer 4 3 1 AI Mathematics N L 15th International Conference, CICM 2022 Tbilisi, Georgia, September 19–23, 2022 Proceedings 123 Lecture Notes in Artificial Intelligence 13467 Subseries of Lecture Notes in Computer Science SeriesEditors RandyGoebel UniversityofAlberta,Edmonton,Canada WolfgangWahlster DFKI,Berlin,Germany Zhi-HuaZhou NanjingUniversity,Nanjing,China FoundingEditor JörgSiekmann DFKIandSaarlandUniversity,Saarbrücken,Germany Moreinformationaboutthissubseriesathttps://link.springer.com/bookseries/1244 · Kevin Buzzard Temur Kutsia (Eds.) Intelligent Computer Mathematics 15th International Conference, CICM 2022 Tbilisi, Georgia, September 19–23, 2022 Proceedings Editors KevinBuzzard TemurKutsia ImperialCollegeLondon JohannesKeplerUniversityLinz London,UK Linz,Austria ISSN 0302-9743 ISSN 1611-3349 (electronic) LectureNotesinArtificialIntelligence ISBN 978-3-031-16680-8 ISBN 978-3-031-16681-5 (eBook) https://doi.org/10.1007/978-3-031-16681-5 LNCSSublibrary:SL7–ArtificialIntelligence ©TheEditor(s)(ifapplicable)andTheAuthor(s),underexclusivelicense toSpringerNatureSwitzerlandAG2022 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,theauthors,andtheeditorsaresafetoassumethattheadviceandinformationinthisbookare 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 This volume contains the papers presented at the 15th Conference on Intelligent ComputerMathematics(CICM2022),heldduringSeptember19–23,2022,inTbilisi, Georgia. CICM was part of the Computational Logic Autumn Summit (CLAS 2022), whichtookplaceduringSeptember19–30,2022,andwashostedbyIvaneJavakhishvili TbilisiStateUniversity. With the continuing, rapid progress of digital methods in communications, knowledge representation, processing, and discovery, the unique character and needs of mathematical information require unique approaches. Separate communities have developed theoretical and practical solutions for these challenges including compu- tation, deduction, narration, and data management. CICM brings these communities together,offeringavenuefordiscussinganddevelopingsolutionstoproblemsposedby theintegrationofthesediverseareas. CICM was initially formed in 2008 as a joint meeting of communities involved incomputeralgebrasystems,theoremprovers,andmathematicalknowledgemanage- ment,aswellasthoseinvolvedinavarietyofaspectsofscientificdocumentarchives. Since then, the conference has been held annually: 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), Białystok (Poland, 2016), Edinburgh (UK, 2017), Hagenberg (Austria, 2018), Prague (CzechRepublic,2019),Bertinoro(Italy,2020,virtual),andTimis¸oara(Romania,2021, virtual).CICM2022wasorganizedinhybridmode. CICM 2022 solicited 37 formal submissions. Each submission was assigned to at leastthreeProgramCommittee(PC)membersandwasreviewedinsingle-blindmode. Thecommitteedecidedtoaccept24papersincluding17regularones,oneproject/survey paper, four short papers describing software systems and datasets, and two papers highlighting the development of systems and tools in the last year. Besides the for- mal submissions, eight papers describing work in progress were also presented at the conference. Thereviewingprocessincludedaresponseperiodinwhichtheauthorscouldrespond and clarify points raised by the reviewers. In addition to the main sessions, a special doctoral program was organized, providing a forum for PhD students to present their research and get advice from senior members of the community. The EuroProofNet workshoponthedevelopment,maintenance,refactoring,andsearchoflargelibrariesof proofswasalsoapartofCICM2022. Theconferencefeaturedthreeinvitedtalks: – ErikaÁbrahám(RWTHAachenUniversity):“SMTsolvingforArithmeticTheories”. – Deyan Ginev (FAU Erlangen-Nürnberg and NIST): “Welcome to ar5iv! Wrestling withtheopenproblemsofscholarlywriting”. – Sébastien Gouëzel (IRMAR, Université de Rennes 1): “Formalizing the change of variablesformulaforintegralsinmathlib”. vi Preface ThePCworkwasmanagedusingtheEasyChairsystem,whichwasveryhelpfuland convenient.WethankBesikDundua(conferencechair),MikheilRukhaia,AnaIdadze, andtheircolleaguesinTbilisiforthesuccessfulorganizationoftheconference,which wasadifficulttaskespeciallybecauseofthechallengesposedbythehybridmode.The KurtGödelSocietyandMatthiasBaazprovidedinvaluablesupportintheorganization. WearegratefultoSergeAutexierforhispublicitywork,Ma˘da˘linaEras¸cuforservingas thedoctoralprogramchair,andFlorianRabeforservingastheworkshopchair.Wealso thanktheauthorsofthesubmittedpapers,thePCmembersandexternalreviewers,the workshoporganizers,andtheinvitedspeakersandtheparticipantsoftheconference. August2022 KevinBuzzard TemurKutsia Organization ProgramCommitteeChairs KevinBuzzard ImperialCollegeLondon,UK TemurKutsia JohannesKeplerUniversityLinz,Austria ProgramCommittee JesúsAransay UniversidaddeLaRioja,Spain DavidAspinall UniversityofEdinburgh,UK SergeAutexier DFKI,Germany AlexanderBentkamp VrijeUniversiteitAmsterdam,TheNetherlands AlexJ.Best VrijeUniversiteitAmsterdam,TheNetherlands DavidCerna CzechAcademyofSciences,Instituteof ComputerScience,CzechRepublic ShaoshiChen KLMM,AMSS,ChineseAcademyofSciences, China SanderDahmen VrijeUniversiteitAmsterdam,TheNetherlands Ma˘da˘linaEras¸cu WestUniversityofTimisoara,Romania WilliamFarmer McMasterUniversity,Canada CezaryKaliszyk UniversityofInnsbruck,Austria FairouzKamareddine Heriot-WattUniversity,UK MarieKerjean CNRS,LIPN,UniversitéSorbonneParisNord, France MichaelKohlhase FAUErlangen-Nürnberg,Germany OlexandrKonovalov UniversityofStAndrews,UK AngelikiKoutsoukou-Argyraki UniversityofCambridge,UK RobertY.Lewis BrownUniversity,USA HeatherMacbeth FordhamUniversity,USA BarbaraMorawska AhmedabadUniversity,India DanieleNantes-Sobrinho UniversidadedeBrasília,Brazil PedroQuaresma UniversityofCoimbra,Portugal FlorianRabe FAUErlangen-Nürnberg,Germany ClaudioSacerdotiCoen UniversityofBologna,Italy ChristophSchwarzweller GdanskUniversity,Poland SofièneTahar ConcordiaUniversity,Canada OlafTeschke FIZKarlsruhe,Germany WolfgangWindsteiger JohannesKeplerUniversityLinz,Austria viii Organization AdditionalReviewers Aksoy,Kubra Müller,Dennis Asakura,Takuto Nagashima,Yutaka Baanen,Anne Naumowicz,Adam Barhoumi,Oumaima O’Connor,Liam Buran,Michal Olarte,Carlos Cohen,Cyril Rashid,Adnan deLima,ThaynaraArielly Starosta,Šteˇpán Deniz,Elif Stuckey,PeterJ. Eberl,Manuel Thiemann,René From,AstaHalkjær Vélez,M.Pilar Jakubu˚v,Jan Wong,Thomas Li,Haokun Yu,Wensheng Miquey,Étienne Zhan,Bohua Abstracts of Invited Talks