Elementary Number Theory Problems. Part XVII.

Artur Kornilowicz http://math.uwb.edu.pl/~arturk/ https://mathscinet.ams.org/mathscinet/MRAuthorID/749543 https://mathgenealogy.org/id.php?id=176836 https://orcid.org/0000-0002-4565-9082 https://www.wikidata.org/entity/Q90699711

Artur Kornilowicz Adam Naumowicz Elementary Number Theory Problems. Part XVII. 2025 145-165 33 Formaliz. Math. 1 https://doi.org/10.2478/forma-2025-0012 db/journals/fm/fm33.html#KornilowiczN25 streams/journals/fm

Artur Kornilowicz Rafal Ziobro Elementary Number Theory Problems. Part XIII. 1-8 2024 32 Formaliz. Math. 1 https://doi.org/10.2478/forma-2024-0001 db/journals/fm/fm32.html#KornilowiczZ24 streams/journals/fm

Artur Kornilowicz Elementary Number Theory Problems. Part XIV - Diophantine Equations. 47-63 2024 32 Formaliz. Math. 1 https://doi.org/10.2478/forma-2024-0004 db/journals/fm/fm32.html#Kornilowicz24 streams/journals/fm

Karol Pak Artur Kornilowicz Elementary Number Theory Problems. Part XV - Diophantine Equations. 93-110 2024 32 Formaliz. Math. 1 https://doi.org/10.2478/forma-2024-0007 db/journals/fm/fm32.html#PakK24 streams/journals/fm

Artur Kornilowicz Elementary Number Theory Problems. Part VII. 23-29 2023 September 31 Formaliz. Math. 1 https://doi.org/10.2478/forma-2023-0003 db/journals/fm/fm31.html#Kornilowicz23

Artur Kornilowicz Elementary Number Theory Problems. Part VIII. 87-100 2023 September 31 Formaliz. Math. 1 https://doi.org/10.2478/forma-2023-0009 db/journals/fm/fm31.html#Kornilowicz23a streams/journals/fm

Artur Kornilowicz Elementary Number Theory Problems. Part IX. 161-169 2023 September 31 Formaliz. Math. 1 https://doi.org/10.2478/forma-2023-0015 db/journals/fm/fm31.html#Kornilowicz23b streams/journals/fm

Artur Kornilowicz Elementary Number Theory Problems. Part X - Diophantine Equations. 171-180 2023 September 31 Formaliz. Math. 1 https://doi.org/10.2478/forma-2023-0016 db/journals/fm/fm31.html#Kornilowicz23c streams/journals/fm

Adam Grabowski Artur Kornilowicz Implementing More Explicit Definitional Expansions in Mizar (Short Paper). 37:1-37:8 2023 ITP https://doi.org/10.4230/LIPIcs.ITP.2023.37 conf/itp/2023 db/conf/itp/itp2023.html#GrabowskiK23

Artur Kornilowicz Elementary Number Theory Problems. Part III. 135-158 2022 30 Formaliz. Math. 2 https://doi.org/10.2478/forma-2022-0011 db/journals/fm/fm30.html#Kornilowicz22

Artur Kornilowicz Elementary Number Theory Problems. Part IV. 223-228 2022 30 Formaliz. Math. 3 https://doi.org/10.2478/forma-2022-0017 db/journals/fm/fm30.html#Kornilowicz22a

Artur Kornilowicz Adam Naumowicz Elementary Number Theory Problems. Part V. 229-234 2022 30 Formaliz. Math. 3 https://doi.org/10.2478/forma-2022-0018 db/journals/fm/fm30.html#KornilowiczN22

Artur Kornilowicz Dariusz Surowik Elementary Number Theory Problems. Part II. 63-68 2021 29 Formaliz. Math. 1 https://doi.org/10.2478/forma-2021-0006 db/journals/fm/fm29.html#KornilowiczS21

Czeslaw Bylinski Artur Kornilowicz Adam Naumowicz Syntactic-Semantic Form of Mizar Articles. 11:1-11:17 2021 ITP https://doi.org/10.4230/LIPIcs.ITP.2021.11 conf/itp/2021 db/conf/itp/itp2021.html#BylinskiKN21 Colin Rothgang Artur Kornilowicz Florian Rabe 0001 A New Export of the Mizar Mathematical Library. 205-210 2021 CICM https://doi.org/10.1007/978-3-030-81097-9_17 conf/mkm/2021 db/conf/mkm/cicm2021.html#RothgangKR21

Artur Kornilowicz Partial Correctness of a Fibonacci Algorithm. 187-196 2020 28 Formaliz. Math. 2 https://doi.org/10.2478/forma-2020-0016 db/journals/fm/fm28.html#Kornilowicz20

Artur Kornilowicz Enhancement of properties in Mizar. e320 2020 6 PeerJ Comput. Sci. https://doi.org/10.7717/peerj-cs.320 https://www.wikidata.org/entity/Q110950142 db/journals/peerj-cs/peerj-cs6.html#Kornilowicz20

Adrian Jaszczak Artur Kornilowicz Partial Correctness of a Factorial Algorithm. 181-187 2019 27 Formaliz. Math. 2 https://doi.org/10.2478/forma-2019-0017 https://www.wikidata.org/entity/Q127494107 db/journals/fm/fm27.html#JaszczakK19

Artur Kornilowicz Sethood Property in Mizar. 2019 CICM Workshops https://ceur-ws.org/Vol-2634/FMM3.pdf conf/mkm/2019w db/conf/mkm/cicm2019w.html#Kornilowicz19 Vadim Ermolayev Frédéric Mallet Vitaliy Yakovyna Vyacheslav S. Kharchenko Vitaliy Kobets Artur Kornilowicz Hennadiy Kravtsov Mykola S. Nikitchenko Serhiy Semerikov Aleksander Spivakovsky Proceedings of the 15th International Conference on ICT in Education, Research and Industrial Applications. Integration, Harmonization and Knowledge Transfer. Volume II: Workshops, Kherson, Ukraine, June 12-15, 2019. ICTERI Workshops CEUR-WS.org CEUR Workshop Proceedings 2393 2019 https://ceur-ws.org/Vol-2393 https://nbn-resolving.org/urn:nbn:de:0074-2393-9 db/conf/icteri/icteri2019w.html

Ievgen Ivanov Artur Kornilowicz Mykola S. Nikitchenko Implementation of the Composition-nominative Approach to Program Formalization in Mizar. 59-76 2018 26 Comput. Sci. J. Moldova 1 http://www.math.md/publications/csjm/issues/v26-n1/12569/ db/journals/csjm/csjm26.html#IvanovKN18

Artur Kornilowicz Ievgen Ivanov Mykola S. Nikitchenko Kleene Algebra of Partial Predicates. 11-20 2018 26 Formaliz. Math. 1 https://doi.org/10.2478/forma-2018-0002 https://www.wikidata.org/entity/Q129426036 db/journals/fm/fm26.html#KornilowiczIN18

Ievgen Ivanov Artur Kornilowicz Mykola S. Nikitchenko On Algebras of Algorithms and Specifications over Uninterpreted Data. 141-147 2018 26 Formaliz. Math. 2 https://doi.org/10.2478/forma-2018-0011 https://www.wikidata.org/entity/Q128651680 db/journals/fm/fm26.html#IvanovKN18

Ievgen Ivanov Artur Kornilowicz Mykola S. Nikitchenko On an Algorithmic Algebra over Simple-Named Complex-Valued Nominative Data. 149-158 2018 26 Formaliz. Math. 2 https://doi.org/10.2478/forma-2018-0012 https://www.wikidata.org/entity/Q128650998 db/journals/fm/fm26.html#IvanovKN18a

Ievgen Ivanov Artur Kornilowicz Mykola S. Nikitchenko An Inference System of an Extension of Floyd-Hoare Logic for Partial Predicates. 159-164 2018 26 Formaliz. Math. 2 https://doi.org/10.2478/forma-2018-0013 https://www.wikidata.org/entity/Q128657926 db/journals/fm/fm26.html#IvanovKN18b

Ievgen Ivanov Artur Kornilowicz Mykola S. Nikitchenko Partial Correctness of GCD Algorithm. 165-173 2018 26 Formaliz. Math. 2 https://doi.org/10.2478/forma-2018-0014 https://www.wikidata.org/entity/Q128663203 db/journals/fm/fm26.html#IvanovKN18c

Grzegorz Bancerek Czeslaw Bylinski Adam Grabowski Artur Kornilowicz Roman Matuszewski Adam Naumowicz Karol Pak The Role of the Mizar Mathematical Library for Interactive Proof Development in Mizar. 9-32 2018 61 J. Autom. Reason. 1-4 https://doi.org/10.1007/s10817-017-9440-6 https://www.wikidata.org/entity/Q59610101 db/journals/jar/jar61.html#BancerekBGKMNP18

Artur Kornilowicz Differentiability of Polynomials over Reals. 31 2017 25 Formaliz. Math. 1 https://doi.org/10.1515/forma-2017-0002 db/journals/fm/fm25.html#Kornilowicz17

Adam Grabowski Artur Kornilowicz Introduction to Liouville Numbers. 39 2017 25 Formaliz. Math. 1 https://doi.org/10.1515/forma-2017-0003 db/journals/fm/fm25.html#GrabowskiK17

Artur Kornilowicz Adam Naumowicz Adam Grabowski All Liouville Numbers are Transcendental. 49 2017 25 Formaliz. Math. 1 https://doi.org/10.1515/forma-2017-0004 db/journals/fm/fm25.html#KornilowiczNG17

Artur Kornilowicz Karol Pak Vieta's Formula about the Sum of Roots of Polynomials. 87-92 2017 25 Formaliz. Math. 2 https://doi.org/10.1515/forma-2017-0008 db/journals/fm/fm25.html#KornilowiczP17

Artur Kornilowicz Karol Pak Basel Problem - Preliminaries. 141-147 2017 25 Formaliz. Math. 2 https://doi.org/10.1515/forma-2017-0013 db/journals/fm/fm25.html#KornilowiczP17a

Karol Pak Artur Kornilowicz Basel Problem. 149-155 2017 25 Formaliz. Math. 2 https://doi.org/10.1515/forma-2017-0014 db/journals/fm/fm25.html#PakK17

Ievgen Ivanov Mykola S. Nikitchenko Andrii Kryvolap Artur Kornilowicz Simple-Named Complex-Valued Nominative Data - Definition and Basic Operations. 205-216 2017 25 Formaliz. Math. 3 https://doi.org/10.1515/forma-2017-0020 db/journals/fm/fm25.html#IvanovNKK17

Artur Kornilowicz Andrii Kryvolap Mykola S. Nikitchenko Ievgen Ivanov Formalization of the Algebra of Nominative Data in Mizar. 237-244 2017 FedCSIS https://doi.org/10.15439/2017F301 conf/fedcsis/2017 db/conf/fedcsis/fedcsis2017.html#KornilowiczKNI17 Adam Naumowicz Artur Kornilowicz Introducing Euclidean Relations to Mizar. 245-248 2017 FedCSIS https://doi.org/10.15439/2017F368 conf/fedcsis/2017 db/conf/fedcsis/fedcsis2017.html#NaumowiczK17 Mykola Nikitchenko Ievgen Ivanov Artur Kornilowicz Andrii Kryvolap Extended Floyd-Hoare Logic over Relational Nominative Data. 41-64 2017 ICTERI (Revised Selected Papers) https://doi.org/10.1007/978-3-319-76168-8_3 conf/icteri/2017s db/conf/icteri/icteri2017s.html#NikitchenkoIKK17 Artur Kornilowicz Andrii Kryvolap Mykola S. Nikitchenko Ievgen Ivanov An Approach To Formalization of an Extension of Floyd-Hoare Logic. 504-523 2017 ICTERI https://ceur-ws.org/Vol-1844/10000504.pdf conf/icteri/2017 db/conf/icteri/icteri2017.html#KornilowiczKNI17 Artur Kornilowicz Andrii Kryvolap Mykola S. Nikitchenko Ievgen Ivanov Formalization of the Nominative Algorithmic Algebra in Mizar. 176-186 2017 ISAT (2) https://doi.org/10.1007/978-3-319-67229-8_16 conf/isat/2017-2 db/conf/isat/isat2017-2.html#KornilowiczKNI17

Christoph Schwarzweller Artur Kornilowicz Some Algebraic Properties of Polynomial Rings. 227-237 2016 24 Formaliz. Math. 3 https://doi.org/10.1515/forma-2016-0019 db/journals/fm/fm24.html#SchwarzwellerK16

Artur Kornilowicz Adam Naumowicz Niven's Theorem. 301-308 2016 24 Formaliz. Math. 4 https://doi.org/10.1515/forma-2016-0026 db/journals/fm/fm24.html#KornilowiczN16

Artur Kornilowicz Registrations vs Redefinitions in Mizar. 17-20 2016 FM4M/MathUI/ThEdu/DP/WIP@CIKM https://ceur-ws.org/Vol-1785/F5.pdf conf/cikm/2016fm4m db/conf/cikm/fm4m2016.html#Kornilowicz16 Adam Grabowski Artur Kornilowicz Christoph Schwarzweller On algebraic hierarchies in mathematical repository of Mizar. 363-371 2016 FedCSIS https://doi.org/10.15439/2016F520 https://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=7733265 conf/fedcsis/2016 db/conf/fedcsis/fedcsis2016.html#GrabowskiKS16 Artur Kornilowicz Enhancement of Mizar Texts with Transitivity Property of Predicates. 157-162 2016 CICM https://doi.org/10.1007/978-3-319-42547-4_12 conf/mkm/2016 db/conf/mkm/cicm2016.html#Kornilowicz16

Artur Kornilowicz Flexary connectives in Mizar. 238-250 2015 44 Comput. Lang. Syst. Struct. https://doi.org/10.1016/j.cl.2015.07.002 db/journals/cl/cl44.html#Kornilowicz15

Christoph Schwarzweller Artur Kornilowicz Characteristic of Rings. Prime Fields. 333-349 2015 23 Formaliz. Math. 4 https://doi.org/10.1515/forma-2015-0027 db/journals/fm/fm23.html#SchwarzwellerK15

Adam Grabowski Artur Kornilowicz Adam Naumowicz Four Decades of Mizar - Foreword. 191-198 2015 55 J. Autom. Reason. 3 https://doi.org/10.1007/s10817-015-9345-1 https://www.wikidata.org/entity/Q59407702 db/journals/jar/jar55.html#GrabowskiKN15

Artur Kornilowicz Definitional Expansions in Mizar - In memoriam of Andrzej Trybulec, a pioneer of computerized formalization. 257-268 2015 55 J. Autom. Reason. 3 https://doi.org/10.1007/s10817-015-9331-7 https://www.wikidata.org/entity/Q59407724 db/journals/jar/jar55.html#Kornilowicz15

Adam Grabowski Artur Kornilowicz Christoph Schwarzweller Equality in computer proof-assistants. 45-54 2015 FedCSIS https://doi.org/10.15439/2015F229 conf/fedcsis/2015 db/conf/fedcsis/fedcsis2015.html#GrabowskiKS15 Grzegorz Bancerek Czeslaw Bylinski Adam Grabowski Artur Kornilowicz Roman Matuszewski Adam Naumowicz Karol Pak Josef Urban Mizar: State-of-the-art and Beyond. 261-279 2015 CICM https://doi.org/10.1007/978-3-319-20615-8_17 conf/mkm/2015 db/conf/mkm/cicm2015.html#BancerekBGKMNPU15

Marco B. Caminati Artur Kornilowicz Pseudo-Canonical Formulae are Classical. 99-103 2014 22 Formaliz. Math. 2 https://doi.org/10.2478/forma-2014-0011 db/journals/fm/fm22.html#CaminatiK14

Artur Kornilowicz Christoph Schwarzweller The First Isomorphism Theorem and Other Properties of Rings. 291-301 2014 22 Formaliz. Math. 4 https://doi.org/10.2478/forma-2014-0029 db/journals/fm/fm22.html#KornilowiczS14

Artur Kornilowicz Commutativeness of Fundamental Groups of Topological Groups. 127-131 2013 21 Formaliz. Math. 2 https://doi.org/10.2478/forma-2013-0014 db/journals/fm/fm21.html#Kornilowicz13

Maciej Golinski Artur Kornilowicz Coproducts in Categories without Uniqueness of cod and dom. 235-239 2013 21 Formaliz. Math. 4 https://doi.org/10.2478/forma-2013-0025 db/journals/fm/fm21.html#GolinskiK13

Andrzej Trybulec Artur Kornilowicz Adam Naumowicz Krystyna Trybulec Kuperberg Formal Mathematics for Mathematicians - Foreward to the Special Issue. 119-121 2013 50 J. Autom. Reason. 2 https://doi.org/10.1007/s10817-012-9268-z db/journals/jar/jar50.html#TrybulecKNK13

Artur Kornilowicz On Rewriting Rules in Mizar. 203-210 2013 50 J. Autom. Reason. 2 https://doi.org/10.1007/s10817-012-9261-6 db/journals/jar/jar50.html#Kornilowicz13

Grzegorz Bancerek Hidetsune Kobayashi Artur Kornilowicz Valuation Theory. Part I. 7-14 2012 20 Formaliz. Math. 1 https://doi.org/10.2478/v10037-012-0002-4 db/journals/fm/fm20.html#BancerekKK12

Keiko Narita Artur Kornilowicz Yasunari Shidama The Differentiable Functions from R into Rn. 65-71 2012 20 Formaliz. Math. 1 https://doi.org/10.2478/v10037-012-0009-x db/journals/fm/fm20.html#NaritaKS12

Keiichi Miyajima Artur Kornilowicz Yasunari Shidama Riemann Integral of Functions from R into n-dimensional Real Normed Space. 79-86 2012 20 Formaliz. Math. 1 https://doi.org/10.2478/v10037-012-0011-3 db/journals/fm/fm20.html#MiyajimaKS12

Marco Riccardi Artur Kornilowicz Fundamental Group of n-sphere for n ≥ 2. 97-104 2012 20 Formaliz. Math. 2 https://doi.org/10.2478/v10037-012-0013-1 db/journals/fm/fm20.html#RiccardiK12

Artur Kornilowicz Marco Riccardi The Borsuk-Ulam Theorem. 105-112 2012 20 Formaliz. Math. 2 https://doi.org/10.2478/v10037-012-0014-0 db/journals/fm/fm20.html#KornilowiczR12

Artur Kornilowicz Cayley-Dickson Construction. 281-290 2012 20 Formaliz. Math. 4 https://doi.org/10.2478/v10037-012-0034-9 db/journals/fm/fm20.html#Kornilowicz12

Keiichi Miyajima Artur Kornilowicz Yasunari Shidama Contracting Mapping on Normed Linear Space. 291-301 2012 20 Formaliz. Math. 4 https://doi.org/10.2478/v10037-012-0035-8 db/journals/fm/fm20.html#MiyajimaKS12a

Artur Kornilowicz Products in Categories without Uniqueness of cod and dom. 303-307 2012 20 Formaliz. Math. 4 https://doi.org/10.2478/v10037-012-0036-7 db/journals/fm/fm20.html#Kornilowicz12a

Artur Kornilowicz Tentative Experiments with Ellipsis in Mizar. 453-457 2012 AISC/MKM/Calculemus https://doi.org/10.1007/978-3-642-31374-5_35 conf/aisc/2012 db/conf/aisc/aisc2012.html#Kornilowicz12

Artur Kornilowicz Mazur-Ulam Theorem. 127-130 2011 19 Formaliz. Math. 3 https://doi.org/10.2478/v10037-011-0020-7 db/journals/fm/fm19.html#Kornilowicz11

Artur Kornilowicz Cayley's Theorem. 223-225 2011 19 Formaliz. Math. 4 https://doi.org/10.2478/v10037-011-0030-5 db/journals/fm/fm19.html#Kornilowicz11a

Keiko Narita Artur Kornilowicz Yasunari Shidama More on the Continuity of Real Functions. 233-239 2011 19 Formaliz. Math. 4 https://doi.org/10.2478/v10037-011-0032-3 db/journals/fm/fm19.html#NaritaKS11

Artur Kornilowicz The Correspondence Between n-dimensional Euclidean Space and the Product of n Real Lines. 81-85 2010 18 Formaliz. Math. 1-4 https://doi.org/10.2478/v10037-010-0011-0 db/journals/fm/fm18.html#Kornilowicz10

Artur Kornilowicz Miscellaneous Facts about Open Functions and Continuous Functions. 171-174 2010 18 Formaliz. Math. 1-4 https://doi.org/10.2478/v10037-010-0019-5 db/journals/fm/fm18.html#Kornilowicz10a

Artur Kornilowicz On the Continuity of Some Functions. 175-183 2010 18 Formaliz. Math. 1-4 https://doi.org/10.2478/v10037-010-0020-z db/journals/fm/fm18.html#Kornilowicz10b

Adam Grabowski Artur Kornilowicz Adam Naumowicz Mizar in a Nutshell. 153-245 2010 3 J. Formaliz. Reason. 2 https://doi.org/10.6092/issn.1972-5787/1980 db/journals/jfrea/jfrea3.html#GrabowskiKN10

Yatsuka Nakamura Artur Kornilowicz Nagato Oya Yasunari Shidama The Real Vector Spaces of Finite Sequences are Finite Dimensional. 1-9 2009 17 Formaliz. Math. 1-4 https://doi.org/10.2478/v10037-009-0001-2 db/journals/fm/fm17.html#NakamuraKOS09

Artur Kornilowicz Arithmetic Operations on Functions from Sets into Functional Sets. 43-60 2009 17 Formaliz. Math. 1-4 https://doi.org/10.2478/v10037-009-0005-y db/journals/fm/fm17.html#Kornilowicz09

Artur Kornilowicz Collective Operations on Number-Membered Sets. 99-115 2009 17 Formaliz. Math. 1-4 https://doi.org/10.2478/v10037-009-0011-0 db/journals/fm/fm17.html#Kornilowicz09a

Adam Naumowicz Artur Kornilowicz A Brief Overview of Mizar. 67-72 2009 TPHOLs https://doi.org/10.1007/978-3-642-03359-9_5 https://www.wikidata.org/entity/Q56168712 conf/tphol/2009 db/conf/tphol/tphol2009.html#NaumowiczK09 Gilles Audemard Piergiorgio Bertoli Alessandro Cimatti Artur Kornilowicz Roberto Sebastiani Integrating Boolean and Mathematical Solving: Foundations, Basic Algorithms, and Requirements. 231-245 2002 conf/aisc/2002 AISC https://doi.org/10.1007/3-540-45470-5_22 https://www.wikidata.org/entity/Q62041413 db/conf/aisc/aisc2002.html#AudemardBCKS02 Gilles Audemard Piergiorgio Bertoli Alessandro Cimatti Artur Kornilowicz Roberto Sebastiani A SAT Based Approach for Solving Formulas over Boolean and Linear Mathematical Propositions. 195-210 2002 conf/cade/2002 CADE https://doi.org/10.1007/3-540-45620-1_17 https://www.wikidata.org/entity/Q62041401 db/conf/cade/cade2002.html#AudemardBCKS02 Gilles Audemard Alessandro Cimatti Artur Kornilowicz Roberto Sebastiani Bounded Model Checking for Timed Systems. 243-259 2002 conf/forte/2002 FORTE https://doi.org/10.1007/3-540-36135-9_16 https://www.wikidata.org/entity/Q62041404 db/conf/forte/forte2002.html#AudemardCKS02 Gilles Audemard Grzegorz Bancerek Piergiorgio Bertoli Czeslaw Bylinski Marco B. Caminati Alessandro Cimatti Vadim Ermolayev Maciej Golinski Adam Grabowski Ievgen Ivanov Adrian Jaszczak Vyacheslav S. Kharchenko Hidetsune Kobayashi Vitaliy Kobets Hennadiy M. KravtsovHennadiy Kravtsov Andrii Kryvolap Krystyna Trybulec Kuperberg Frédéric Mallet Roman Matuszewski Keiichi Miyajima Yatsuka Nakamura Keiko Narita Adam Naumowicz Mykola S. NikitchenkoMykola Nikitchenko Nagato Oya Karol Pak Florian Rabe 0001 Marco Riccardi Colin Rothgang Christoph Schwarzweller Roberto Sebastiani Serhiy Semerikov Yasunari Shidama Aleksander Spivakovsky Dariusz Surowik Andrzej Trybulec Josef Urban Vitaliy Yakovyna Rafal Ziobro