{"id":"https://openalex.org/W2148169424","doi":"https://doi.org/10.1007/s10472-014-9443-5","title":"Automated generation of machine verifiable and readable proofs: A case study of Tarski\u2019s geometry","display_name":"Automated generation of machine verifiable and readable proofs: A case study of Tarski\u2019s geometry","publication_year":2015,"publication_date":"2015-01-06","ids":{"openalex":"https://openalex.org/W2148169424","doi":"https://doi.org/10.1007/s10472-014-9443-5","mag":"2148169424"},"language":"en","primary_location":{"id":"doi:10.1007/s10472-014-9443-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10472-014-9443-5","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01091011","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048748654","display_name":"Sana Stojanovi\u0107","orcid":"https://orcid.org/0000-0002-5386-9100"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]},{"id":"https://openalex.org/I4210093057","display_name":"Faculty (United Kingdom)","ror":"https://ror.org/00qpxe165","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210093057"]}],"countries":["GB","RS"],"is_corresponding":false,"raw_author_name":"Sana Stojanovi\u0107 \u00d0ur\u0111evi\u0107","raw_affiliation_strings":["Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Belgrade, Serbia","Faculty of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]},{"raw_affiliation_string":"Faculty of Mathematics","institution_ids":["https://openalex.org/I4210093057"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032322583","display_name":"Julien Narboux","orcid":"https://orcid.org/0000-0003-3527-7184"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210100283","display_name":"Laboratoire des Sciences de l'Ing\u00e9nieur, de l'Informatique et de l'Imagerie","ror":"https://ror.org/00k4e5n71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2801509770","https://openalex.org/I4210095849","https://openalex.org/I4210100283","https://openalex.org/I4210159245","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julien Narboux","raw_affiliation_strings":["ICube, UMR 7357 CNRS, University of Strasbourg P\u00f4le API, Bd S\u00e9bastien Brant, BP 10413, 67412, Illkirch, France","ICube - Laboratoire des sciences de l'ing\u00e9nieur, de l'informatique et de l'imagerie (300 bd S\u00e9bastien Brant - BP 10413 - F-67412 Illkirch Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICube, UMR 7357 CNRS, University of Strasbourg P\u00f4le API, Bd S\u00e9bastien Brant, BP 10413, 67412, Illkirch, France","institution_ids":["https://openalex.org/I4210100283","https://openalex.org/I68947357","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ICube - Laboratoire des sciences de l'ing\u00e9nieur, de l'informatique et de l'imagerie (300 bd S\u00e9bastien Brant - BP 10413 - F-67412 Illkirch Cedex - France)","institution_ids":["https://openalex.org/I4210100283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085623977","display_name":"Predrag Jani\u010di\u0107","orcid":"https://orcid.org/0000-0001-8922-4948"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]},{"id":"https://openalex.org/I4210093057","display_name":"Faculty (United Kingdom)","ror":"https://ror.org/00qpxe165","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210093057"]}],"countries":["GB","RS"],"is_corresponding":false,"raw_author_name":"Predrag Jani\u010di\u0107","raw_affiliation_strings":["Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Belgrade, Serbia","Faculty of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]},{"raw_affiliation_string":"Faculty of Mathematics","institution_ids":["https://openalex.org/I4210093057"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.761,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.95453879,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"74","issue":"3-4","first_page":"249","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.8119519948959351},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7710166573524475},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.49109554290771484},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49060383439064026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4461984634399414},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.411138117313385},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4103868007659912},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4098462164402008},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3241578936576843},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23818504810333252},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23419895768165588},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12298017740249634},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.09824684262275696}],"concepts":[{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.8119519948959351},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7710166573524475},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.49109554290771484},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49060383439064026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4461984634399414},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.411138117313385},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4103868007659912},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4098462164402008},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3241578936576843},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23818504810333252},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23419895768165588},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12298017740249634},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.09824684262275696},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10472-014-9443-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10472-014-9443-5","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01091011v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01091011","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dream.inf.ed.ac.uk/events/amai-geom/","raw_type":"Journal articles"},{"id":"pmh:oai:univoak.eu:islandora_69936","is_oa":true,"landing_page_url":"https://univoak.eu/islandora/object/islandora%3A69936","pdf_url":null,"source":{"id":"https://openalex.org/S4306402449","display_name":"univOAK (4 institutions : Universit\u00e9 de Strasbourg, Universit\u00e9 de Haute Alsace, INSA Strasbourg, Biblioth\u00e8que Nationale et Universitaire de Strasbourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210100283","host_organization_name":"Laboratoire des Sciences de l'Ing\u00e9nieur, de l'Informatique et de l'Imagerie","host_organization_lineage":["https://openalex.org/I4210100283"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01091011v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01091011","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dream.inf.ed.ac.uk/events/amai-geom/","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W15103390","https://openalex.org/W144472580","https://openalex.org/W146121977","https://openalex.org/W802642389","https://openalex.org/W960198383","https://openalex.org/W1035810787","https://openalex.org/W1444781587","https://openalex.org/W1519551513","https://openalex.org/W1573268168","https://openalex.org/W1573992413","https://openalex.org/W1578750710","https://openalex.org/W1594381772","https://openalex.org/W1595079318","https://openalex.org/W1595469144","https://openalex.org/W1598115799","https://openalex.org/W1606604604","https://openalex.org/W1734944212","https://openalex.org/W1766647772","https://openalex.org/W1768814311","https://openalex.org/W1780472831","https://openalex.org/W1807555267","https://openalex.org/W1986790869","https://openalex.org/W1990493960","https://openalex.org/W2011928646","https://openalex.org/W2022589543","https://openalex.org/W2100738443","https://openalex.org/W2128184640","https://openalex.org/W2142703483","https://openalex.org/W2142750460","https://openalex.org/W2144907233","https://openalex.org/W2156433885","https://openalex.org/W2265047482","https://openalex.org/W2275018860","https://openalex.org/W2294291906","https://openalex.org/W2737225757","https://openalex.org/W2963946830","https://openalex.org/W3023731641","https://openalex.org/W4240129194"],"related_works":["https://openalex.org/W2355730523","https://openalex.org/W152021879","https://openalex.org/W2072918937","https://openalex.org/W2365629437","https://openalex.org/W2023935927","https://openalex.org/W2348330439","https://openalex.org/W2350372928","https://openalex.org/W2377292126","https://openalex.org/W2128900334","https://openalex.org/W2139109546"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
