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	pages     = {2832--2839},
	year      = {2025},
	publisher = {Free University of Bozen-Bolzano and ERME},
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@book{polya1945solve,
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@book{hadamard1945psychology,
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@phdthesis{georget2009activites,
	title={Activit{\'e}s de recherche et de preuve entre pairs {\`a} l'{\'e}cole {\'e}l{\'e}mentaire: perspectives ouvertes par les communaut{\'e}s de pratique d'enseignants},
	author={Georget, Jean-Philippe},
	year={2009},
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@article{sim2005kappa,
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@book{nctm2000principles,
	author    = {{National Council of Teachers of Mathematics (NCTM)}},
	title     = {Principles and Standards for School Mathematics},
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	publisher = {National Council of Teachers of Mathematics},
	address   = {Reston, VA}
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@online{ciip2023,
	author  = {{Conférence intercantonale de l’instruction publique de la Suisse romande et du Tessin (CIIP)}},
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@inproceedings{gandit2022enseignement,
	title={L'ENSEIGNEMENT ET L'APPRENTISSAGE DE LA PREUVE EN MATHEMATIQUES DU CYCLE 1 AU CYCLE 3: PREMIERS OUTILS ET PREMIERS RESULTATS},
	author={Gandit, Mich{\`e}le and Mossuz, Laurence and Gravier, Sylvain},
	booktitle={Repr{\'e}senter et mod{\'e}liser en math{\'e}matiques. De l'activit{\'e} des {\'e}l{\`e}ves {\`a} la formation des professeurs des {\'e}coles. 48{\`e}me colloque de la {COPIRELEM}. {T}oulouse 2022},
	pages={431--448},
	year={2022},
	organization={ARPEME; COPIRELEM},
	url={\url{https://hal.science/hal-04818426v1}}
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@inproceedings{gandit2024chercher,
	author = {Gandit, Mich{\`e}le},
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	booktitle = {Actes de la 22e {\'e}cole d'{\'e}t{\'e} de didactique des math{\'e}matiques},
	year = {2024},
	url = {\url{https://hal.science/hal-04819108/}}
}
@report{eurydice2025teachers,
	author      = {{Eurydice Network}},
	title       = {Turkish  education  system.
	Key Elements, Policies and Reforms},
	year        = {2025},
	institution = {Publications Office of the European Union},
note        = {\url{https://eurydice.meb.gov.tr/meb_iys_dosyalar/2025_06/01015044_tes159en.pdf}}
}
@article{lajoie2014resolution,
	title={La r{\'e}solution de probl{\`e}mes en math{\'e}matiques au Qu{\'e}bec: {\'e}volution des r{\^o}les assign{\'e}s par les programmes et des conseils donn{\'e}s aux enseignants},
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	number={2},
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	year={2014},
	publisher={{\'E}rudit},
	doi={10.7202/1027903ar}
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@article{santos2007problem,
	author  = {Santos-Trigo, Manuel},
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	volume  = {39},
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	pages   = {523--536},
	doi     = {10.1007/s11858-007-0030-3}
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@article{burkhardt2007problem,
	author  = {Burkhardt, Hugh and Bell, Alan},
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	pages   = {395--403},
	doi     = {10.1007/s11858-007-0026-z}
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@article{dambrosio2007problem,
	author  = {D'Ambrosio, Ubiratan},
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	year    = {2007},
	volume  = {39},
	number  = {5-6},
	pages   = {515--521},
	doi     = {https://doi.org/10.1007/s11858-007-0039-y}
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@article{hino2007problem,
	author  = {Hino, Kazuya},
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	number  = {5-6},
	pages   = {503--514},
	doi     = {10.1007/s11858-007-0052-1}
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@article{schoenfeld2007problem,
	author  = {Schoenfeld, Alan H.},
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	year    = {2007},
	volume  = {39},
	number  = {5-6},
	pages   = {537--551},
	doi     = {10.1007/s11858-007-0038-z}
}
@inproceedings{gravier2025variables,
	title={Les variables de recherche: un outil pour transposer la dialectique particulier-g{\'e}n{\'e}ral},
	author={Gravier, Sylvain and Trouv{\'e}, Thibaut},
		booktitle = {Pré-actes du Colloque international en hommage à l'œuvre de {G}uy {B}rousseau},
	editor    = {Derouet, C. and Durand-Guerrier, V. and Lemrich, C. and Mathé, A.-C.},
	publisher = {IREM d'Aquitaine},
	year      = {2025},
	pages     = {115--119},
	url={\url{https://hal.science/hal-05325431v1}}
}
@incollection{santos2020problem,
	title={Problem-solving in mathematics education},
	author={Santos-Trigo, Manuel},
	booktitle={Encyclopedia of mathematics education},
		editor    = {Lerman, Stephen},
	pages={686--693},
	year={2020},
	publisher={Springer},
		address   = {Cham},
		url={\url{https://doi.org/10.1007/978-3-030-15789-0_129}}
}
@incollection{durandguerrier2025,
	author    = {Durand-Guerrier, Viviane},
	title     = {Divers usages du concept de variables didactiques},
	booktitle = {Pré-actes du Colloque international en hommage à l'œuvre de {G}uy Brousseau},
	editor    = {Derouet, C. and Durand-Guerrier, V. and Lemrich, C. and Mathé, A.-C.},
	publisher = {IREM d'Aquitaine},
	year      = {2025},
	pages     = {104--109},
	url={\url{https://hal.science/hal-05184913/}}
}
@inproceedings{aldon:hal-02346405,
	TITLE = {{Analyse des effets d'un enseignement fond{\'e} sur la recherche de probl{\`e}mes}},
	AUTHOR = {Aldon, Gilles and Front, Mathias and Gardes, Marie-Line},
	url ={\url{https://hal.science/hal-02346405}},
	BOOKTITLE = {{Actes de l'Espace Math{\'e}matique Francophone.  Mathématiques en scène: des ponts entre les disciplines}},
	ADDRESS = {Paris, France},
	YEAR = {2018},
	MONTH = Oct,
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@article{barallobres2007,
	author  = {Barallobres, Gustavo},
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	year    = {2007},
	volume  = {27},
	number  = {1},
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@phdthesis{godot:tel-00102171,
	TITLE = {{Situations recherche et jeux mathematiques pour la formation et la vulgarisation. Exemple de la roue aux couleurs.}},
	AUTHOR = {Godot, Karine},
	URL = {\url{https://theses.hal.science/tel-00102171}},
	SCHOOL = {{Universit{\'e} Joseph-Fourier - Grenoble I}},
	YEAR = {2005},
	MONTH = Nov,
	KEYWORDS = {mathematics perception. ; mathematics popularization ; primary school ; learnings ; mathematics teaching ; research situations ; heuristic ; mathematics games ; problem resolution ; discrete mathematics ; didactic ; epistemology ; heuristique ; image des math{\'e}matiques. ; jeux math{\'e}matiques ; r{\'e}solution de probl{\`e}mes ; math{\'e}matiques discr{\`e}tes ; didactique ; {\'e}pist{\'e}mologie ; raisonnement ; situation recherche ; image des math{\'e}matiques ; vulgarisation des math{\'e}matiques ; {\'e}cole primaire ; apprentissages ; enseignement des math{\'e}matiques},
	TYPE = {Doctoral dissertation},
	PDF = {https://theses.hal.science/tel-00102171v1/file/these_K.Godot_pdf.pdf},
	HAL_ID = {tel-00102171},
	HAL_VERSION = {v1},
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@incollection{barallobresgiroux2008,
	author    = {Barallobres, Gustavo and Giroux, Jacques},
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@incollection{durandguerrier2010,
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	editor    = {Aldon, Gilles and Cahuet, Pierre-Yves and Durand-Guerrier, Viviane and Front, Michel and Krieger, Didier and Mizony, Michel and Tardy, C.},
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	year      = {2010},
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@phdthesis{front:tel-01312266,
	TITLE = {{{\'E}mergence et {\'e}volution des objets math{\'e}matiques en Situation Didactique de Recherche de Probl{\`e}me : le cas des pavages archim{\'e}diens du plan}},
	AUTHOR = {Front, Mathias},
	url={\url{https://theses.hal.science/tel-01312266}},
	NUMBER = {2015LYO10250},
	SCHOOL = {{Universit{\'e} Claude Bernard - Lyon I}},
	YEAR = {2015},
	MONTH = Nov,
	KEYWORDS = {Archimedean tilings ; Kepler ; Regular polygons ; Didactic Situation of a Problem Solving ; Mathematical objects ; School epistemology ; Mathematical knowledges ; Problem ; Pavages archim{\'e}diens ; Kepler ; Polygones r{\'e}guliers ; Situations Didactiques de Recherche de Probl{\`e}me ; Objets math{\'e}matiques ; {\'E}pist{\'e}mologie scolaire ; Savoirs math{\'e}matiques ; Probl{\`e}me},
	TYPE = {Doctoral dissertation},
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@incollection{gardes:hal-03533121,
	TITLE = {{D{\'e}marches d'investigation et recherche de probl{\`e}mes}},
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	YEAR = {2018},
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	HAL_VERSION = {v1},
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@incollection{schoenfeld2015,
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@article{da2026probleme,
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@article{deloustal2025logique,
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@inproceedings{chevallard1998analyse,
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@article{rott2021descriptive,
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	publisher={Springer},
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@book{liljedahl2019mathematical,
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@Inbook{liljedahl2016problem,
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	url="\url{https://doi.org/10.1007/978-3-319-40730-2}"
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@article{selden1989can,
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@techreport{dorier2012context,
author = {Dorier, Jean-Luc},
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note = {[PRIMAS project]}
}
@inproceedings{rott2014rethinking,
author={Rott, Benjamin},
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@article{gravier2022mathematical,
	title={The mathematical background of proving processes in discrete optimization—Exemplification with Research Situations for the Classroom},
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	journal={ZDM--Mathematics Education},
	volume={54},
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	pages={925--940},
	year={2022},
	publisher={Springer},
doi={10.1007/s11858-022-01400-3}
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@Inbook{ouvrier2020discrete,
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	address="Cham",
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}
@article{ouvrier2011mathematical,
	title={A mathematical experience involving defining processes: in-action definitions and zero-definitions},
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@book{coppe2024resolution,
	title={La r{\'e}solution de probl{\`e}mes en math{\'e}matiques: Enjeux pour l’enseignement et l’apprentissage},
	author={Copp{\'e}, Sylvie and Dorier, Jean-Luc},
	year={2024},
	publisher={UGA {\'E}ditions, EDP Sciences},
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}

@misc{moe2013maths,
	author       = {{Ministry of Education Singapore}},
	title        = {Mathematics Syllabus: Primary (2013)},
	year         = {2013},
	institution  = {Ministry of Education},
	address      = {Singapore},
	url          = {\url{https://libris.nie.edu.sg/sites/default/files/maths-primary-2013.pdf}},
	note         = {Curriculum document}
}

@report{ccss2010math,
	author      = {{National Governors Association Center for Best Practices} and {Council of Chief State School Officers} {(NGA and CCSSO)}},
	title       = {Common Core State Standards for Mathematics},
	year        = {2010},
	institution = {National Governors Association Center for Best Practices and Council of Chief State School Officers},
	address     = {Washington, DC}
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@Inbook{artigue2014perspectives,
author="Artigue, Mich{\`e}le",
editor="Bikner-Ahsbahs, Angelika
and Knipping, Christine
and Presmeg, Norma",
title="Perspectives on Design Research: The Case of Didactical Engineering",
bookTitle="Approaches to Qualitative Research in Mathematics Education: Examples of Methodology and Methods",
year="2015",
publisher="Springer Netherlands",
address="Dordrecht",
pages="467--496",
isbn="978-94-017-9181-6",
url={\url{https://doi.org/10.1007/978-94-017-9181-6_17}}
}
@Inbook{artigue2020didactic,
author="Artigue, Mich{\`e}le",
editor="Lerman, Stephen",
title="Didactic Engineering in Mathematics Education",
bookTitle="Encyclopedia of Mathematics Education",
year="2020",
publisher="Springer International Publishing",
address="Cham",
pages="202--206",
isbn="978-3-030-15789-0",
doi="10.1007/978-3-030-15789-0_44",
url={\url{https://doi.org/10.1007/978-3-030-15789-0_44"}}
}
@report{per2010,
	author      = {{Conférence intercantonale de l’instruction publique de la Suisse romande et du Tessin (CIIP)}},
	title       = {Plan d'{\'E}tudes {R}omand ({PER})},
	year        = {2010},
	institution = {CIIP},
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}
@report{oecd2023pisa,
	author      = {{OECD}},
	title       = {PISA 2022 Results (Volume I): The State of Learning and Equity in Education},
	year        = {2023},
	institution = {OECD Publishing},
	location    = {Paris},
	doi         = {10.1787/53f23881-en},
	url         = {\url{https://doi.org/10.1787/53f23881-en}}
}
@article{grenier1998specificites,
	title={Sp{\'e}cificit{\'e}s de la preuve et de la mod{\'e}lisation en math{\'e}matiques discr{\`e}tes},
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@Inbook{McCallum2015,
	author="McCallum, William",
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	title="The Common Core State Standards in Mathematics",
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	publisher="Springer International Publishing",
	address="Cham",
	pages="547--560",
	abstract="The US Common Core State Standards in Mathematics were released in 2009 and have been adopted by 45 states. We describe the background, process, and design principles of the standards.",
	isbn="978-3-319-17187-6",
	doi="10.1007/978-3-319-17187-6_31",
	url="https://doi.org/10.1007/978-3-319-17187-6_31"
}
@article{cai2007problem,
	title={Problem solving in Chinese mathematics education: Research and practice},
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}
@Inbook{Loisy2019,
author="Loisy, Catherine
and Sabra, Hussein
and Courtney, Scott A.
and Rocha, Katiane
and Glasnovi{\'{c}} Gracin, Dubravka
and Aldon, Gilles
and Front, Mathias
and Gardes, Marie-Line
and Taranto, Eugenia
and Arzarello, Ferdinando
and Robutti, Ornella",
editor="Trouche, Luc
and Gueudet, Ghislaine
and Pepin, Birgit",
title="Analyzing Teachers' Work with Resources: Methodological Issues",
bookTitle="The `Resource' Approach to Mathematics Education",
year="2019",
publisher="Springer International Publishing",
address="Cham",
pages="257--321",
url={\url{https://doi.org/10.1007/978-3-030-20393-1_10}}
}
@book{brousseau1997theory,
	author       = {Brousseau, Guy},
	title        = {Theory of Didactical Situations in Mathematics: Didactique des Math{\'e}matiques, 1970--1990},
	year         = {1997},
	publisher    = {Kluwer Academic Publishers},
	address      = {Dordrecht},
	editor       = {Balacheff, Nicolas and Cooper, Michael and Sutherland, Rosamund and Warfield, Virginia},
	translator   = {Balacheff, Nicolas and Cooper, Michael and Sutherland, Rosamund and Warfield, Virginia},
url={\url{https://doi.org/10.1007/0-306-47211-2}}
}
@techreport{krippendorff2011alpha,
author = {Krippendorff, Klaus},
title = {Computing Krippendorff's Alpha-Reliability},
year = {2011},
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}
@phdthesis{da2022pratique,
	title={Pratique de l'activit{\'e} math{\'e}matique en m{\'e}diation: mod{\`e}les didactiques et conception d'ing{\'e}nieries},
	author={Da Ronch, Mickael},
	year={2022},
	school={Universit{\'e} Grenoble Alpes},
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}
@misc{dream2020somme,
author       = {{DREAM}},
title        = {La somme de 10 entiers consécutifs},
year         = {2020},
month        = jul,
day          = {30},
howpublished = {\url{https://math.univ-lyon1.fr/dream/wp-content/uploads/2022/03/La-somme-des-10-entiers-consecutifs.pdf}}
}
@phdthesis{gardes2013etude,
	title={{\'E}tude de processus de recherche de chercheurs, {\'e}l{\`e}ves et {\'e}tudiants, engag{\'e}s dans la recherche d'un probl{\`e}me non r{\'e}solu en th{\'e}orie des nombres},
	author={Gardes, Marie-Line},
	year={2013},
	school={Universit{\'e} Claude Bernard-Lyon I},
		url ={\url{https://theses.hal.science/tel-00948332/}}
}
@article{schoenfeld1985makingbbb,
	title={Making sense of “out loud” problem-solving protocols},
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}
@book{schoenfeld1985making,
title={Mathematical problem solving},
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year={1985},
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}
@article{schoenfeld1992paradigms,
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}
@incollection{lester2003problem,
	title={From problem solving to modeling: The evolution of thinking about research on complex mathematical activity},
	author={Lester, Frank K and Kehle, Paul E},
	booktitle={Beyond constructivism},
	pages={501--517},
	year={2003},
	publisher={Routledge}
}
@incollection{lesh2007problem,
	author    = {Lesh, Richard and Zawojewski, James S.},
	title     = {Problem Solving and Modeling},
	booktitle = {The Second Handbook of Research on Mathematics Teaching and Learning},
	editor    = {Lester, Frank K.},
	pages     = {763--804},
	year      = {2007},
	publisher = {Information Age Publishing},
	address   = {Charlotte, NC}
}
@book{dahl2019mathematical,
	editor    = {Liljedahl, Peter and Santos-Trigo, Manuel},
	title     = {Mathematical Problem Solving: Current Themes, Trends, and Research},
	series    = {ICME-13 Monographs},
	publisher = {Springer},
	address   = {Cham},
	year      = {2019},
	doi       = {10.1007/978-3-030-10472-6},
	url       = {https://doi.org/10.1007/978-3-030-10472-6}
}
@incollection{english2016problemSI,
author    = {English, Lyn D. and Gainsburg, Julie},
title     = {Problem Solving in a 21st-Century Mathematics Curriculum},
booktitle = {Handbook of International Research in Mathematics Education},
editor    = {English, Lyn D. and Kirshner, David},
edition   = {3},
publisher = {Routledge},
address   = {New York},
year      = {2016},
pages     = {313--335},
url={\url{https://eprints.qut.edu.au/87756/24/87756.pdf}}
}
@inproceedings{daronch2023study,
	author    = {Da Ronch, Mickael and Gardes, Marie-Line and Mili, Imane},
	title     = {Study of the potential of problems to practice a research activity in mathematics at elementary school in French-speaking Switzerland},
	booktitle = {Proceedings of the Thirteenth Congress of the ERME ({CERME}13)},
	editor    = {Drijvers, Paul and Csapodi, Csaba and Palm{\'e}r, Hanna and Gosztonyi, Katalin and K{\'o}nya, Erika},
	pages     = {96--103},
	year      = {2023},
	publisher = {Alfr{\'e}d R{\'e}nyi Institute of Mathematics and ERME},
	url       = {\url{https://hal.science/hal-04408292v1}
}}