{"id":"https://openalex.org/W1531493160","doi":"https://doi.org/10.6092/issn.1972-5787/1974","title":"Basic first-order model theory in Mizar","display_name":"Basic first-order model theory in Mizar","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1531493160","doi":"https://doi.org/10.6092/issn.1972-5787/1974","mag":"1531493160"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:06c6865a582646dc8a21696f44e66429","is_oa":true,"landing_page_url":"https://doaj.org/article/06c6865a582646dc8a21696f44e66429","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Formalized Reasoning, Vol 3, Iss 1, Pp 49-77 (2010)","raw_type":"article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/06c6865a582646dc8a21696f44e66429","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013198849","display_name":"Marco B. Caminati","orcid":"https://orcid.org/0000-0002-4529-5442"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Caminati, Marco Bright; Sapienza-Universit\u00e0 Di Roma","raw_affiliation_strings":["Sapienza Universit\u00e0 di Roma"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sapienza Universit\u00e0 di Roma","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013198849"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":1.3776,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83581047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9973000288009644,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9930999875068665,"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/computer-science","display_name":"Computer science","score":0.5990053415298462},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49572980403900146},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3833962082862854}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5990053415298462},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49572980403900146},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3833962082862854},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:doaj.org/article:06c6865a582646dc8a21696f44e66429","is_oa":true,"landing_page_url":"https://doaj.org/article/06c6865a582646dc8a21696f44e66429","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Formalized Reasoning, Vol 3, Iss 1, Pp 49-77 (2010)","raw_type":"article"},{"id":"pmh:oai:eprints.lancs.ac.uk:185183","is_oa":false,"landing_page_url":"https://eprints.lancs.ac.uk/id/eprint/185183/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401916","display_name":"Lancaster EPrints (Lancaster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67415387","host_organization_name":"Lancaster University","host_organization_lineage":["https://openalex.org/I67415387"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"doi:10.6092/issn.1972-5787/1974","is_oa":true,"landing_page_url":"https://doi.org/10.6092/issn.1972-5787/1974","pdf_url":null,"source":{"id":"https://openalex.org/S7407050985","display_name":"Universit\u00e0 degli Studi di Bologna","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:06c6865a582646dc8a21696f44e66429","is_oa":true,"landing_page_url":"https://doaj.org/article/06c6865a582646dc8a21696f44e66429","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Formalized Reasoning, Vol 3, Iss 1, Pp 49-77 (2010)","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W112957075","https://openalex.org/W1020805281","https://openalex.org/W1480405493","https://openalex.org/W1546740898","https://openalex.org/W1563678831","https://openalex.org/W1571348114","https://openalex.org/W1585415359","https://openalex.org/W1586417893","https://openalex.org/W1591830785","https://openalex.org/W1652201657","https://openalex.org/W1674553475","https://openalex.org/W2014219554","https://openalex.org/W2045864901","https://openalex.org/W2109102514","https://openalex.org/W2137774972"],"related_works":["https://openalex.org/W4243252198","https://openalex.org/W2135396778","https://openalex.org/W2109507516","https://openalex.org/W1527862632","https://openalex.org/W2118300983","https://openalex.org/W2112962394","https://openalex.org/W3137189469","https://openalex.org/W2740990710","https://openalex.org/W4235530921","https://openalex.org/W2382501300"],"abstract_inverted_index":{"The":[0],"author":[1],"has":[2],"submitted":[3],"to":[4,39,47],"Mizar":[5],"Mathematical":[6],"Library":[7],"a":[8,14,41,70],"series":[9],"of":[10,19,44,61,69,73],"five":[11],"articles":[12],"introducing":[13],"framework":[15],"for":[16,35,80],"the":[17,36,81,85,103],"formalization":[18],"classical":[20],"first-order":[21],"model":[22],"theory.":[23],"In":[24],"them,":[25],"Goedel's":[26],"completeness":[27],"and":[28,46,55,67,76,88,94],"Lowenheim-Skolem":[29],"theorems":[30],"have":[31],"also":[32],"been":[33],"formalized":[34],"countable":[37],"case,":[38],"offer":[40],"first":[42],"application":[43],"it":[45],"showcase":[48],"its":[49],"utility.":[50],"This":[51],"is":[52],"an":[53],"overview":[54],"commentary":[56],"on":[57],"some":[58],"key":[59],"aspects":[60],"this":[62],"setup.":[63],"It":[64],"features":[65],"exposition":[66],"discussion":[68],"new":[71],"encoding":[72],"basic":[74],"definitions":[75],"theoretical":[77],"gears":[78],"needed":[79],"task,":[82],"remarks":[83],"about":[84,98],"design":[86],"strategies":[87],"approaches":[89],"adopted":[90],"in":[91],"their":[92],"implementation,":[93],"more":[95],"general":[96],"reflections":[97],"proof":[99],"checking":[100],"induced":[101],"by":[102],"work":[104],"done.":[105]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-10-10T00:00:00"}