Towards Ranking Geometric Automated Theorem Provers

Detalhes bibliográficos
Autor(a) principal: Baeta, Nuno
Data de Publicação: 2019
Outros Autores: Quaresma, Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/106878
https://doi.org/10.4204/EPTCS.290.3
Resumo: In Proceedings ThEdu'18, arXiv:1903.12402
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spelling Towards Ranking Geometric Automated Theorem ProversIn Proceedings ThEdu'18, arXiv:1903.12402The field of geometric automated theorem provers has a long and rich history, from the early AI approaches of the 1960s, synthetic provers, to today algebraic and synthetic provers. The geometry automated deduction area differs from other areas by the strong connection between the axiomatic theories and its standard models. In many cases the geometric constructions are used to establish the theorems' statements, geometric constructions are, in some provers, used to conduct the proof, used as counter-examples to close some branches of the automatic proof. Synthetic geometry proofs are done using geometric properties, proofs that can have a visual counterpart in the supporting geometric construction. With the growing use of geometry automatic deduction tools as applications in other areas, e.g. in education, the need to evaluate them, using different criteria, is felt. Establishing a ranking among geometric automated theorem provers will be useful for the improvement of the current methods/implementations. Improvements could concern wider scope, better efficiency, proof readability and proof reliability. To achieve the goal of being able to compare geometric automated theorem provers a common test bench is needed: a common language to describe the geometric problems; a comprehensive repository of geometric problems and a set of quality measures.Open Publishing Association2019-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/106878http://hdl.handle.net/10316/106878https://doi.org/10.4204/EPTCS.290.3eng2075-2180Baeta, NunoQuaresma, Pedroinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-04-28T09:42:40Zoai:estudogeral.uc.pt:10316/106878Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:23:16.796575Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Towards Ranking Geometric Automated Theorem Provers
title Towards Ranking Geometric Automated Theorem Provers
spellingShingle Towards Ranking Geometric Automated Theorem Provers
Baeta, Nuno
title_short Towards Ranking Geometric Automated Theorem Provers
title_full Towards Ranking Geometric Automated Theorem Provers
title_fullStr Towards Ranking Geometric Automated Theorem Provers
title_full_unstemmed Towards Ranking Geometric Automated Theorem Provers
title_sort Towards Ranking Geometric Automated Theorem Provers
author Baeta, Nuno
author_facet Baeta, Nuno
Quaresma, Pedro
author_role author
author2 Quaresma, Pedro
author2_role author
dc.contributor.author.fl_str_mv Baeta, Nuno
Quaresma, Pedro
description In Proceedings ThEdu'18, arXiv:1903.12402
publishDate 2019
dc.date.none.fl_str_mv 2019-04-01
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https://doi.org/10.4204/EPTCS.290.3
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