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  1. 1.
    0579461 - ÚI 2024 RIV DE eng C - Conference Paper (international conference)
    Ratschan, Stefan
    Deciding Predicate Logical Theories Of Real-Valued Functions.
    48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023). Dagstuhl: Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023 - (Leroux, J.; Lombardy, S.; Peleg, D.), č. článku 76. Leibniz International Proceedings in Informatics, 272. ISBN 978-3-95977-292-1. ISSN 1868-8969.
    [MFCS 2023: International Symposium on Mathematical Foundations of Computer Science /48./. Bordeaux (FR), 28.08.2023-01.09.2023]
    R&D Projects: GA ČR(CZ) GA21-09458S
    Institutional support: RVO:67985807
    Keywords : decision procedures * first-order predicate logical theories * real numbers * real-valued functions
    OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
    https://doi.org/10.4230/LIPIcs.MFCS.2023.76
    Permanent Link: https://hdl.handle.net/11104/0348265
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    0579461-aoa.pdf2730.8 KBOA CC BY 4.0Publisher’s postprintopen-access
     

    Research data: ArXiv.org (preprint)
     
  2. 2.
    0577735 - FLÚ 2024 RIV CZ cze J - Journal Article
    Vlasáková, Marta
    Cantorův diagonální důkaz.
    [Cantor’s Diagonal Proof.]
    Teorie vědy. Roč. 45, č. 2 (2023), s. 153-193. ISSN 1210-0250. E-ISSN 1804-6347
    R&D Projects: GA ČR(CZ) GA23-07119S
    Institutional support: RVO:67985955
    Keywords : Cantor’s diagonal proof * ac­tual and potential infinity * real numbers * set cardinality * recursive function
    OECD category: Philosophy, History and Philosophy of science and technology
    Method of publishing: Open access
    https://doi.org/10.46938/tv.2023.605
    Permanent Link: https://hdl.handle.net/11104/0348567
     
     
  3. 3.
    0561783 - FLÚ 2023 RIV NL eng E - Electronic Document
    Fuentes Guillén, Elías
    Bolzano’s Theory of meßbare Zahlen. Insights and Uncertainties Regarding the Number Continuum.
    [textový soubor]. - Cham: Springer, 2022, 564 kB
    R&D Projects: GA ČR(CZ) GJ19-03125Y
    Institutional support: RVO:67985955
    Keywords : Bernard Bolzano * measurable numbers * number continuum * real numbers * nineteenth-century mathematics
    OECD category: Philosophy, History and Philosophy of science and technology
    https://doi.org/10.1007/978-3-030-19071-2_96-2
    Permanent Link: https://hdl.handle.net/11104/0334901
     
     
  4. 4.
    0548251 - FLÚ 2022 ES spa R - Book Review
    Fuentes Guillén, Elías
    Georg Cantor. Obra matemática, by Carlos Gómez Bermúdez [Review].
    [CANTOR, G.: Obra matemática. La Coruña: Universidade da Coruña. Madrid: RSME, 2019. ISBN 978-84-9749-702-2, ISBN 978-84-9351-969-8]. La Gaceta de la Real Sociedad Matematica Espaňola. Roč. 24, č. 1 (2021), s. 211-219. ISSN 1138-8927
    Institutional support: RVO:67985955
    Keywords : Georg Cantor * History of mathematics in the 19th century * History of set theory * History of real numbers
    OECD category: Philosophy, History and Philosophy of science and technology
    Method of publishing: Open access
    https://gaceta.rsme.es/abrir.php?id=1627
    Permanent Link: http://hdl.handle.net/11104/0324339
     
     
  5. 5.
    0449388 - ÚI 2017 RIV NL eng J - Journal Article
    Franek, Peter - Ratschan, Stefan - Zgliczynski, P.
    Quasi-Decidability of a Fragment of the First-Order Theory of Real Numbers.
    Journal of Automated Reasoning. Roč. 57, č. 2 (2016), s. 157-185. ISSN 0168-7433. E-ISSN 1573-0670
    R&D Projects: GA ČR GCP202/12/J060; GA MŠMT OC10048; GA ČR GA15-14484S
    Institutional support: RVO:67985807
    Keywords : decidability * decision procedure * real numbers
    Subject RIV: IN - Informatics, Computer Science
    Impact factor: 1.636, year: 2016
    Permanent Link: http://hdl.handle.net/11104/0250958
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    a0449388.pdf9702.4 KBPublisher’s postprintrequire
     
     
  6. 6.
    0405562 - UIVT-O 330942 RIV ES eng C - Conference Paper (international conference)
    Běhounek, Libor
    Towards a Formal Theory of Fuzzy Dedekind Reals.
    [Předběžný nástin formální teorie dedekindovských fuzzy reálných čísel.]
    Fuzzy Logic and Technology. Barcelona, 2005 - (Montseny, E.; Sobrevilla, P.), s. 949-954. ISBN 84-7683-872-3.
    [EUSFLAT - LFA 2005. Conference of the European Society for Fuzzy Logic and Technology /13./, Recontres Francophones sur la Logique Floue et ses Applications /11./. Barcelona (ES), 07.09.2005-09.09.2005]
    R&D Projects: GA AV ČR KJB100300502
    Institutional research plan: CEZ:AV0Z10300504
    Keywords : fuzzy Dedekind completion * fuzzy real numbers * high-order fuzzy logic
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0125717
     
     
  7. 7.
    0368130 - ÚI 2012 RIV DE eng C - Conference Paper (international conference)
    Franek, Peter - Ratschan, Stefan - Zgliczynski, P.
    Satisfiability of Systems of Equations of Real Analytic Functions is Quasi-decidable.
    Mathematical Foundations of Computer Science 2011. Berlin: Springer, 2011 - (Murlak, F.; Sankowski, P.), s. 315-326. Lecture Notes in Computer Science, 6907. ISBN 978-3-642-22992-3. ISSN 0302-9743.
    [MFCS 2011. International Symposium /36./. Warsaw (PL), 22.08.2011-26.08.2011]
    R&D Projects: GA MŠMT OC10048
    Institutional research plan: CEZ:AV0Z10300504
    Keywords : decidability * logical theories * real numbers
    Subject RIV: IN - Informatics, Computer Science
    Permanent Link: http://hdl.handle.net/11104/0202562
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    a0368130.pdf2216 KBPublisher’s postprintrequire
     
     
  8. 8.
    0318380 - ÚI 2009 BE eng A - Abstract
    Běhounek, Libor
    Axiomatization of Mathematical and Physical Theories in t-norm logics.
    Logic and the Foundations of Physics: Space, Time and Quanta. Brussel: CLEA, 2008. s. 21-22.
    [Trends in Logic /6./. 11.12.2008-12.12.2008, Brussels]
    Institutional research plan: CEZ:AV0Z10300504
    Keywords : fuzzy logic * axiomatic theory * real numbers
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0167816
     
     
  9. 9.
    0106898 - MU-W 20040105 RIV CZ cze J - Journal Article
    Práger, Milan - Sýkorová, I.
    Jak počítače počítají.
    [How the computers compute.]
    Pokroky matematiky, fyziky & astronomie. Roč. 49, č. 1 (2004), s. 32-45. ISSN 0032-2423
    Institutional research plan: CEZ:AV0Z1019905
    Keywords : real numbers representation * computer arithmetics * round-off errors
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0014070
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    Prager.pdf1311.1 KBPublisher’s postprintopen-access
     
     


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