Formalization of mathematics through proof assistants: a study on the state of the art
The formalization of mathematics in practice relies heavily on proof assistants and automatic theorem provers, therefore we studied what are the state of the art proof assitants and their limitations to understand what are the main challenges in making formalized mathematics common practice among ma...
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| Format: | Online |
| Language: | English |
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Universidade Estadual de Campinas
2019
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| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/600 |
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| author | Inonhe, Henrique Yuji Rossetti Carnielli, Walter Alexandre |
| author_facet | Inonhe, Henrique Yuji Rossetti Carnielli, Walter Alexandre |
| author_sort | Inonhe, Henrique Yuji Rossetti |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Revista dos Trabalhos de Iniciação Científica da UNICAMP; n. 26 (2018): Congresso de Iniciação Científica Unicamp |
| description | The formalization of mathematics in practice relies heavily on proof assistants and automatic theorem provers, therefore we studied what are the state of the art proof assitants and their limitations to understand what are the main challenges in making formalized mathematics common practice among mathematicians. We found out that curretly the two major dificulties in formalizing mathematics with proof assistants are due to steep learning curves in how to use these tools and due to a wide gap between the notation employed in these proof assistants and the currently used mathematical notation. We also developed a C++ library to develop proof assistants with great notational flexibility. |
| first_indexed | 2025-10-08T13:51:24Z |
| format | Online |
| id | ojs-article-600 |
| institution | Universidade Estadual de Campinas |
| issn | 2596-1969 |
| language | eng |
| last_indexed | 2025-10-08T13:51:24Z |
| publishDate | 2019 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-6002025-09-26T14:32:30Z Formalization of mathematics through proof assistants: a study on the state of the art Inonhe, Henrique Yuji Rossetti Carnielli, Walter Alexandre Proof assistants Formalization of mathematics Philosophy of formal sciences. The formalization of mathematics in practice relies heavily on proof assistants and automatic theorem provers, therefore we studied what are the state of the art proof assitants and their limitations to understand what are the main challenges in making formalized mathematics common practice among mathematicians. We found out that curretly the two major dificulties in formalizing mathematics with proof assistants are due to steep learning curves in how to use these tools and due to a wide gap between the notation employed in these proof assistants and the currently used mathematical notation. We also developed a C++ library to develop proof assistants with great notational flexibility. Universidade Estadual de Campinas 2019-01-14 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artigo de convidado application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/600 10.20396/revpibic262018600 Revista dos Trabalhos de Iniciação Científica da UNICAMP; n. 26 (2018): Congresso de Iniciação Científica Unicamp 2596-1969 eng https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/600/821 Copyright (c) 2019 Henrique Yuji Rossetti Inonhe, Walter Alexandre Carnielli http://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Inonhe, Henrique Yuji Rossetti Carnielli, Walter Alexandre Proof assistants Formalization of mathematics Philosophy of formal sciences. Formalization of mathematics through proof assistants: a study on the state of the art |
| title | Formalization of mathematics through proof assistants: a study on the state of the art |
| title_full | Formalization of mathematics through proof assistants: a study on the state of the art |
| title_fullStr | Formalization of mathematics through proof assistants: a study on the state of the art |
| title_full_unstemmed | Formalization of mathematics through proof assistants: a study on the state of the art |
| title_short | Formalization of mathematics through proof assistants: a study on the state of the art |
| title_sort | formalization of mathematics through proof assistants: a study on the state of the art |
| topic | Proof assistants Formalization of mathematics Philosophy of formal sciences. |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/600 |
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