@article{CKKP-JAR2023,
  author       = {Cezary Kaliszyk and
                  Karol Pak},
  title        = {Combining Higher-Order Logic with Set Theory Formalizations},
  journal      = {J. Autom. Reason.},
  volume       = {67},
  number       = {2},
  pages        = {1--20},
  year         = {2023},
  url          = {https://doi.org/10.1007/s10817-023-09663-5},
  doi          = {10.1007/s10817-023-09663-5},
  timestamp    = {Fri, 02 Jun 2023 21:23:51 +0200},
  biburl       = {https://dblp.org/rec/journals/jar/KaliszykP23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}




@InProceedings{KPCK-ITP2022,
 arxivurl = {http://arxiv.org/abs/2204.12311},
 author = {Karol P\k{a}k and Cezary Kaliszyk},
 booktitle = {13th International Conference on Interactive Theorem Proving, {ITP} 2022}, 
 editor = {June Andronick and Leonardo de Moura},
 pages = {26:1--26:8},
 publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
 series = {LIPIcs},
 title = {Formalizing a Diophantine Representation of the Set of Prime Numbers},
 url = {https://doi.org/10.4230/LIPIcs.ITP.2022.26},
 doi = {10.4230/LIPIcs.ITP.2022.26},
 volume = {237},
 year = {2022}
}




@InProceedings{CBCKKP-ITP2019,
  author =	{Chad E. Brown and Cezary Kaliszyk and Karol P\k{a}k},
  title =	{{Higher-Order Tarski Grothendieck as a Foundation for Formal Proof}},
  booktitle =	{10th International Conference on Interactive Theorem Proving (ITP 2019)},
  pages =	{9:1--9:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-122-1},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{141},
  editor =	{John Harrison and John O'Leary and Andrew Tolmach},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11064},
  URN =		{urn:nbn:de:0030-drops-110643},
  doi =		{10.4230/LIPIcs.ITP.2019.9},
  annote =	{Keywords: model, higher-order, Tarski Grothendieck, proof foundation}
}



@inProceedings{CKKP-ITP2019,
  author =	{Cezary Kaliszyk and Karol P\k{a}k},
  title =	{{Declarative Proof Translation (Short Paper)}},
  booktitle =	{10th International Conference on Interactive Theorem Proving (ITP 2019)},
  pages =	{35:1--35:7},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-122-1},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{141},
  editor =	{John Harrison and John O'Leary and Andrew Tolmach},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11090},
  URN =		{urn:nbn:de:0030-drops-110903},
  doi =		{10.4230/LIPIcs.ITP.2019.35},
  annote =	{Keywords: Declarative Proof, Translation, Isabelle/Isar, Mizar}
}


@inproceedings{CBKP-CICM/MKM19,
  author    = {Brown, Chad E. and Karol P\k{a}k},
  editor    = {Kaliszyk, Cezary and 
               Brady, Edwin and 
               Kohlhase, Andrea and 
               Sacerdoti Coen, Claudio},
  title     = {A Tale of Two Set Theories},
  booktitle = {Intelligent Computer Mathematics - 12th International Conference,
               {CICM} 2019, CIIRC, Prague, Czech Republic, July 8-12, 2019, Proceedings},
  series    = {Lecture Notes in Computer Science},
  pages     = {44--60},
  year      = {2019},
  volume    = {11617},
  publisher = {Springer},
  doi       = {10.1007/978-3-030-23250-4_4}
}


@article{CKKP-JAR2018,
 author = {Cezary Kaliszyk and
               Karol P\k{a}k},
 title = {Semantics of Mizar as an Isabelle Object Logic},
 journal = {Journal of Automated Reasoning},
 year = {2018},
 url = {https://doi.org/10.1007/s10817-018-9479-z},
 doi = {doi.org/10.1007/s10817-018-9479-z},
}


@inproceedings{KP-Fedcsis2018,
  author    = {Karol P\k{a}k},
  editor    = {Maria Ganzha and
               Leszek A. Maciaszek and
               Marcin Paprzycki},
  title     = {Combining the {S}yntactic and {S}emantic
				{R}epresentations of {M}izar {P}roofs},
  booktitle = {Proceedings of the 2018 Federated Conference on Computer Science and
               Information Systems, FedCSIS 2018, Poznan, Poland, September 9-12, 2018},
  pages     = {145--153},
  year      = {2018},
  doi       = {10.15439/2018F248},
  publisher = {IEEE},
  volume    = {15},
  series    = {Annals of Computer Science and Information Systems}
}


@inproceedings{KP-Fedcsis2018S,
  author    = {Karol P\k{a}k},
  editor    = {Maria Ganzha and
               Leszek A. Maciaszek and
               Marcin Paprzycki},
  title     = {Mizar {S}et {C}omprehension in {I}sabelle {F}ramework},
  booktitle = {Proceedings of the 2018 Federated Conference on Computer Science and
               Information Systems, FedCSIS 2018, Poznan, Poland, September 9-12, 2018},
  pages     = {23--26},
  year      = {2018},
  doi       = {10.15439/2018F106},
  publisher = {IEEE},
  volume    = {15},
  series    = {Annals of Computer Science and Information Systems}
}


@inproceedings{CKKP-CICM/MKM18,
  author    = {Cezary Kaliszyk and Karol P\k{a}k},
  editor    = {Florian Rabe and
               William M. Farmer and
               Grant O. Passmore and
               Abdou Youssef},
  title     = {Isabelle Import Infrastructure for the Mizar Mathematical Library},
  booktitle = {Intelligent Computer Mathematics - 11th International Conference,
               {CICM} 2018, Hagenberg, Austria, August 13-17, 2018, Proceedings},
  series    = {Lecture Notes in Computer Science},
  pages     = {131--146},
  year      = {2018},
  volume    = {11006},
  publisher = {Springer},
  doi       = {10.1007/978-3-319-96812-4_13}
}


@ARTICLE{BGKMNP-JAR2018,
  author    = {Grzegorz Bancerek and
               Czeslaw Byli\'nski and
               Adam Grabowski and
               Artur Korni\l owicz and
               Roman Matuszewski and
               Adam Naumowicz and
               Karol P\k{a}k},
  title     = {The Role of the Mizar Mathematical Library for Interactive Proof Development
               in Mizar},
  journal   = {J. Autom. Reasoning},
  volume    = {61},
  number    = {1-4},
  pages     = {9--32},
  year      = {2018},
 doi       = {10.1007/s10817-017-9440-6},
}



@ARTICLE{TDKP-PlosONE,
  AUTHOR  = {Tomaszuk, Dominik and P\k{a}k, Karol},
  TITLE   = {Reducing vertices in property graphs},
  JOURNAL = {Plos One},
  YEAR    = {2018},
  volume  = {13},
  number  = {2},
  pages   = {1--25},
  doi     = {10.1371/journal.pone.0191917}
}

@article{GBCBAGAKRMANKP-JAR17,
  author    = {Grzegorz Bancerek and
               Czes\l{}aw Byli\'n{}ski and
               Adam Grabowski and
               Artur Korni\l{}owicz and
               Roman Matuszewski and
               Adam Naumowicz and
               Karol P\k{a}k},
  title     = {The {R}ole of the {M}izar {M}athematical {L}ibrary for {I}nteractive {P}roof {D}evelopment in {M}izar},
  journal   = {Journal of Automated Reasoning},
  pages     = {1--24},
  year      = {2017},
  doi       = {10.1007/s10817-017-9440-6},
  note =      {to appear}
}

@inproceedings{CKKP-MACIS2017,
  author    = {Cezary Kaliszyk and Karol P\k{a}k},
  title     = {Isabelle {F}ormalization of {S}et {T}heoretic {S}tructures and {C}omprehensions},
  booktitle = {Mathematical Aspects of Computer and Information Sciences - 7th International
               Conference, {MACIS} 2017, Vienna, Austria, November 15-17, 2017},
  series    = {Lecture Notes in Computer Science},
  year      = {2017},
  pages     = {163--178},
  publisher = {Springer},
  volume    = {10693}
}

@inproceedings{MAKP-Fedcsis2017,
  author    = {Marcin Acewicz and
               Karol P\k{a}k},
  editor    = {Maria Ganzha and
               Leszek A. Maciaszek and
               Marcin Paprzycki},
  title     = {Formalization of {P}ell`s {E}quations in the {M}izar {S}ystem},
   booktitle = {Proceedings of the 2017 Federated Conference on Computer Science and
               Information Systems, FedCSIS 2017, Prague, Czech Republic, September
               3-6, 2017},
  year      = {2017},
  pages     = {223--226},
  volume    = {10693},
  doi       = {10.15439/2017F314},
  publisher = {IEEE},
  volume    = {11},
  series    = {Annals of Computer Science and Information Systems}
}

@inproceedings{CKKP-Fedcsis2017,
  author    = {Cezary Kaliszyk and
               Karol P\k{a}k},
  editor    = {Maria Ganzha and
               Leszek A. Maciaszek and
               Marcin Paprzycki},
  title     = {Progress in the {I}ndependent {C}ertification of {M}izar {M}athematical {L}ibrary in {I}sabelle},
  booktitle = {Proceedings of the 2017 Federated Conference on Computer Science and
               Information Systems, FedCSIS 2017, Prague, Czech Republic, September
               3-6, 2017},
  pages     = {227--236},
  year      = {2017},
  doi       = {10.1007/978-3-319-62075-6_14},
  publisher = {IEEE},
  volume    = {11},
  series    = {Annals of Computer Science and Information Systems}
}

@inproceedings{CKKP-CICM/MKM17,
  author    = {Cezary Kaliszyk and Karol P\k{a}k},
  editor    = {Herman Geuvers and Matthew England and
               Osman Hasan and Florian Rabe and
               Olaf Teschke},
  title     = {Presentation and {M}anipulation of {M}izar {P}roperties in an {I}sabelle {O}bject {L}ogic},
  booktitle = {Intelligent Computer Mathematics - 10th International Conference,
               {CICM} 2017, Edinburgh, UK, July 17-21, 2017, Proceedings},
  series    = {Lecture Notes in Computer Science},
  pages     = {193--207},
  year      = {2017},
  volume    = {10383},
  publisher = {Springer},
  doi       = {10.1007/978-3-319-62075-6_14}
}

@inproceedings{KP-CICM16/FM4M,
  author    = {Karol P\k{a}k},
  editor    = {Andrea Kohlhase and
               Paul Libbrecht and
               Bruce R. Miller and
               Adam Naumowicz and
               Walther Neuper and
               Pedro Quaresma and
               Frank Wm. Tompa and
               Martin Suda},
  title     = {Topological {F}oundations for a {F}ormal {T}heory of {M}anifolds},
  booktitle = {Joint Proceedings of the FM4M, MathUI, and ThEdu Workshops, Doctoral
               Program, and Work in Progress at the Conference on Intelligent Computer
               Mathematics 2016 co-located with the 9th Conference on Intelligent
               Computer Mathematics {(CICM} 2016), Bialystok, Poland, July 25-29,
               2016.},
  pages     = {14--16},
  year      = {2016},
  series    = {{CEUR} Workshop Proceedings},
  volume    = {1785},
  publisher = {CEUR-WS.org},
}

@inproceedings{KP-CICM16/MKM/WP,
  author    = {Karol P\k{a}k},
  editor    = {Andrea Kohlhase and
               Paul Libbrecht and
               Bruce R. Miller and
               Adam Naumowicz and
               Walther Neuper and
               Pedro Quaresma and
               Frank Wm. Tompa and
               Martin Suda},
  title     = {Lemma {E}xtraction {C}riteria {B}ased on {P}roperties of {T}heorem {S}tatements},
  booktitle = {Joint Proceedings of the FM4M, MathUI, and ThEdu Workshops, Doctoral
               Program, and Work in Progress at the Conference on Intelligent Computer
               Mathematics 2016 co-located with the 9th Conference on Intelligent
               Computer Mathematics {(CICM} 2016), Bialystok, Poland, July 25-29,
               2016.},
  pages     = {158--171},
  year      = {2016},
  series    = {{CEUR} Workshop Proceedings},
  volume    = {1785},
  publisher = {CEUR-WS.org}
 }

@inproceedings{KPAS-CICM16/MKM/WP,
  author    = {Karol P\k{a}k and
               Aleksy Schubert},
  editor    = {Andrea Kohlhase and
               Paul Libbrecht and
               Bruce R. Miller and
               Adam Naumowicz and
               Walther Neuper and
               Pedro Quaresma and
               Frank Wm. Tompa and
               Martin Suda},
  title     = {The {I}mpact of {P}roof {S}teps {S}equence on {P}roof {R}eadability - {E}xperimental
               {S}etting},
  booktitle = {Joint Proceedings of the FM4M, MathUI, and ThEdu Workshops, Doctoral
               Program, and Work in Progress at the Conference on Intelligent Computer
               Mathematics 2016 co-located with the 9th Conference on Intelligent
               Computer Mathematics {(CICM} 2016), Bialystok, Poland, July 25-29,
               2016.},
  pages     = {172--186},
  year      = {2016},
  series    = {{CEUR} Workshop Proceedings},
  volume    = {1785},
  publisher = {CEUR-WS.org}
 }

@inproceedings{CKKPJU-CPP16,
  author    = {Cezary Kaliszyk and Karol P\k{a}k and Josef Urban},
  title     = {Towards a {M}izar {E}nvironment for {I}sabelle: {F}oundations and {L}anguage},
  booktitle = {Proc. 5th Conference on Certified Programs and Proofs (CPP 2016)},
  pages     = {58--65},
  year      = {2016},
  editor    = {Jeremy Avigad and Adam Chlipala},
  publisher = {{ACM}},
  url       = {http://doi.acm.org/10.1145/2854065.2854070},
  doi       = {10.1145/2854065.2854070},
}

@article{KP-JAR15,
  author    = {Karol P\k{a}k},
  title     = {Improving {L}egibility of {F}ormal {P}roofs {B}ased on the {C}lose {R}eference
               {P}rinciple is {NP}-{H}ard},
  journal   = {Journal of Automated Reasoning},
  volume    = {55},
  number    = {3},
  pages     = {295--306},
  year      = {2015},
  doi       = {10.1007/s10817-015-9337-1}
}

@inproceedings{KP-CICM15/MKM,
  author    = {Karol P\k{a}k},
  editor    = {Manfred Kerber and
               Jacques Carette and
               Cezary Kaliszyk and
               Florian Rabe and
               Volker Sorge},
  title     = {Readable {F}ormalization of {E}uler's {P}artition {T}heorem in {M}izar},
  booktitle = {Intelligent Computer Mathematics - International Conference, {CICM}
               2015, Washington, DC, USA, July 13-17, 2015, Proceedings},
  series    = {Lecture Notes in Computer Science},
  volume    = {9150},
  publisher = {Springer},
  pages     = {211--226},
  year      = {2015},
  doi       = {10.1007/978-3-319-20615-8_14}
}

@inproceedings{Mizar-CICM15/MKM,
  author    = {Grzegorz Bancerek and
               Czeslaw Bylinski and
               Adam Grabowski and
               Artur Korni\l{}owicz and
               Roman Matuszewski and
               Adam Naumowicz and
               Karol P\k{a}k and
               Josef Urban},
  editor    = {Manfred Kerber and
               Jacques Carette and
               Cezary Kaliszyk and
               Florian Rabe and
               Volker Sorge},
  title     = {Mizar: {S}tate-of-the-art and {B}eyond},
  booktitle = {Intelligent Computer Mathematics - International Conference, {CICM}
               2015, Washington, DC, USA, July 13-17, 2015, Proceedings},
 series    = {Lecture Notes in Computer Science},
  volume    = {9150},
  publisher = {Springer},
  year      = {2015},
  pages     = {261--279},
  doi       = {10.1007/978-3-319-20615-8_17}
 }

@article{KP-LMCS14,
  author    = {Karol P\k{a}k},
  title     = {Improving {L}egibility of {N}atural {D}eduction {P}roofs is not {T}rivial},
  journal   = {Logical Methods in Computer Science},
  volume    = {10},
  number    = {3},
  year      = {2014},
  doi       = {10.2168/LMCS-10(3:23)2014}
}

@inproceedings{KP-CICM14/MKM,
  author    = {Karol P\k{a}k},
  editor    = {Stephen M. Watt and
               James H. Davenport and
               Alan P. Sexton and
               Petr Sojka and
               Josef Urban},
  title     = {Automated {I}mproving of {Pr}oof {L}egibility in the {M}izar {S}ystem},
  booktitle = {Intelligent Computer Mathematics - International Conference, {CICM}
               2014, Coimbra, Portugal, July 7-11, 2014. Proceedings},
  pages     = {373--387},
  series    = {Lecture Notes in Computer Science},
  volume    = {8543},
  publisher = {Springer},
  year      = {2014}
}

@article{KP-JAR13,
  author    = {Karol P\k{a}k},
  title     = {Methods of {L}emma {E}xtraction in {N}atural {D}eduction {P}roofs},
  journal   = {Journal of Automated Reasoning},
  volume    = {50},
  number    = {2},
  pages     = {217--228},
  year      = {2013},
  doi       = {10.1007/s10817-012-9267-0}
}

@inproceedings{DTKPHR-ADBIS12,
  author    = {Dominik Tomaszuk and
               Karol P\k{a}k and
               Henryk Rybinski},
  editor    = {Tadeusz Morzy and
               Theo H{\"{a}}rder and
               Robert Wrembel},
  title     = {Trust in {RDF} {G}raphs},
  booktitle = {Advances in Databases and Information Systems - 16th East European
               Conference, {ADBIS} 2012, Pozna{\'{n}}, Poland, September 18-21,
               2012. Proceedings {II}},
  pages     = {273--283},
  series    = {Advances in Intelligent Systems and Computing},
  volume    = {186},
  publisher = {Springer},
  year      = {2012},
  doi       = {10.1007/978-3-642-32741-4_25}
}

@ARTICLE{KP-SLGR,
  AUTHOR =       {Karol P\k{a}k},
  TITLE =        {The {A}lgorithms for {I}mproving and {R}eorganizing {N}atural {D}eduction {P}roofs},
  JOURNAL =      {Studies in Logic, Grammar and Rhetoric},
  YEAR =         {2010},
  volume =       {22},
  number =       {35},
  pages =        {95--112}
}

@INPROCEEDINGS{KP-PCM14,
  AUTHOR =       {Karol P\k{a}k},
  editor =       {Anna Gomoli\'nska and
                  Adam Grabowski and
                  Ma\l{}gorzata Hryniewicka and
                  Magdalena Kacprzak and
                  Ewa Schmeidel
                 },
  BOOKTITLE =    {Trends in Contemporary Computer Science Podlasie 2014},
  TITLE =        {Improving Legibility of Proof Scripts Based on Quantity of Introduced Labels},
  pages =        {71--82},
  PUBLISHER =    {Bialystok University of Technology Publishing Office},
  YEAR =         {2014}
}

@INPROCEEDINGS{BPJRLKKP-SPECOM06,
  AUTHOR =       {Bo\.zena Pi\'orkowska and Janusz Rafa\l{}ko and \L{}ukasz Kalinowski and Karol P\k{a}k},
  TITLE =        {Parts of Speech Recognition System for the Text-Based, Polish Speech Synthesizer},
  BOOKTITLE =    {11th International Conference on Speech and Computer (SPECOM 2006),
                  St. Petersburg, 25-29 June 2006},
  YEAR =         {2006},
  pages =        {471--473}
}