{"id":"https://openalex.org/W4401921077","doi":"https://doi.org/10.1007/s11225-024-10142-0","title":"Alpha-Structures and Ladders in Logical Geometry","display_name":"Alpha-Structures and Ladders in Logical Geometry","publication_year":2024,"publication_date":"2024-08-27","ids":{"openalex":"https://openalex.org/W4401921077","doi":"https://doi.org/10.1007/s11225-024-10142-0"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-024-10142-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-024-10142-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-024-10142-0.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11225-024-10142-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093266694","display_name":"Alexander De Klerck","orcid":"https://orcid.org/0009-0008-4906-7130"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Alexander De Klerck","raw_affiliation_strings":["KU Leuven, Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KU Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051081904","display_name":"Lorenz Demey","orcid":"https://orcid.org/0000-0002-0176-1958"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Lorenz Demey","raw_affiliation_strings":["KU Leuven, Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-0176-1958","affiliations":[{"raw_affiliation_string":"KU Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5093266694"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.3311,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65046157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"113","issue":"6","first_page":"1713","last_page":"1748"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9994000196456909,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9994000196456909,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.996999979019165,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9914000034332275,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5373522043228149},{"id":"https://openalex.org/keywords/computational-linguistics","display_name":"Computational linguistics","score":0.505601167678833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43210387229919434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4065738618373871},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.340797483921051},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24678093194961548},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24038761854171753}],"concepts":[{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5373522043228149},{"id":"https://openalex.org/C155092808","wikidata":"https://www.wikidata.org/wiki/Q182557","display_name":"Computational linguistics","level":2,"score":0.505601167678833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43210387229919434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4065738618373871},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.340797483921051},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24678093194961548},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24038761854171753}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11225-024-10142-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-024-10142-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-024-10142-0.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/747777","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/747777","pdf_url":"https://lirias.kuleuven.be/retrieve/d7b15673-246a-4714-8e8e-02fe232690f2","source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Studia Logica, vol. 113 (6), (1713-1748)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s11225-024-10142-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-024-10142-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-024-10142-0.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3322763786","display_name":null,"funder_award_id":"IDN-19-009","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"},{"id":"https://openalex.org/G5227081768","display_name":"Towards a Systematic Theory of Aristotelian Diagrams in Logical Geometry","funder_award_id":"101040049","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7651965771","display_name":null,"funder_award_id":"101040049","funder_id":"https://openalex.org/F4320338453","funder_display_name":"HORIZON EUROPE European Research Council"},{"id":"https://openalex.org/G8126607459","display_name":null,"funder_award_id":"IDN-19-009","funder_id":"https://openalex.org/F4320322681","funder_display_name":"Onderzoeksraad, KU Leuven"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320322681","display_name":"Onderzoeksraad, KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320338453","display_name":"HORIZON EUROPE European Research Council","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401921077.pdf","grobid_xml":"https://content.openalex.org/works/W4401921077.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W8827884","https://openalex.org/W25412590","https://openalex.org/W217221060","https://openalex.org/W626407659","https://openalex.org/W1487283712","https://openalex.org/W1527995180","https://openalex.org/W1966710300","https://openalex.org/W1980911051","https://openalex.org/W1999273320","https://openalex.org/W2001353394","https://openalex.org/W2001457416","https://openalex.org/W2011847778","https://openalex.org/W2023429459","https://openalex.org/W2037730906","https://openalex.org/W2049241707","https://openalex.org/W2053400835","https://openalex.org/W2068524799","https://openalex.org/W2086798946","https://openalex.org/W2089525093","https://openalex.org/W2097345830","https://openalex.org/W2133551789","https://openalex.org/W2137883646","https://openalex.org/W2142771670","https://openalex.org/W2159131252","https://openalex.org/W2222047630","https://openalex.org/W2331920816","https://openalex.org/W2531452992","https://openalex.org/W2592067820","https://openalex.org/W2800845814","https://openalex.org/W2804436922","https://openalex.org/W2899169730","https://openalex.org/W2907074674","https://openalex.org/W2945492887","https://openalex.org/W3034570970","https://openalex.org/W3049229546","https://openalex.org/W3199985253","https://openalex.org/W4235570579","https://openalex.org/W4238138617","https://openalex.org/W4294837760","https://openalex.org/W4376611709","https://openalex.org/W4391167623"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2014330921"],"abstract_inverted_index":{"Abstract":[0],"Aristotelian":[1,29,69,142],"diagrams,":[2,13,30,143],"such":[3],"as":[4],"the":[5,57,98,106,109,134,148],"square":[6],"of":[7,28,37,60,87,101,120,123,136,141,147],"opposition":[8],"and":[9,22,51,54,84,112,125],"other,":[10],"more":[11],"complex":[12],"have":[14],"a":[15,63,138],"long":[16],"history":[17],"in":[18,56,108,118],"philosophical":[19],"logic.":[20],"Alpha-structures":[21],"ladders":[23,55,85],"are":[24,32],"two":[25],"specific":[26],"kinds":[27],"which":[31,144],"often":[33],"studied":[34],"together":[35],"because":[36],"their":[38],"close":[39],"interactions.":[40],"The":[41],"present":[42],"paper":[43],"builds":[44],"upon":[45],"this":[46,73],"research":[47,151],"line,":[48],"by":[49],"reformulating":[50],"investigating":[52],"alpha-structures":[53,83,124],"contemporary":[58],"setting":[59],"logical":[61,154],"geometry,":[62],"mathematically":[64],"sophisticated":[65],"framework":[66,74],"for":[67],"studying":[68],"diagrams.":[70],"In":[71,90],"particular,":[72],"allows":[75],"us":[76],"to":[77,92],"formulate":[78,114],"well-defined":[79],"functions":[80],"that":[81],"construct":[82],"out":[86,97],"each":[88],"other.":[89],"order":[91],"achieve":[93],"this,":[94],"we":[95],"point":[96],"crucial":[99],"importance":[100],"imposing":[102],"an":[103],"ordering":[104],"on":[105,133],"elements":[107],"diagrams":[110],"involved,":[111],"thus":[113],"all":[115],"our":[116],"results":[117,128],"terms":[119],"ordered":[121],"versions":[122],"ladders.":[126],"These":[127],"shed":[129],"interesting":[130],"new":[131],"light":[132],"prospects":[135],"developing":[137],"systematic":[139],"classification":[140],"is":[145],"one":[146],"main":[149],"ongoing":[150],"efforts":[152],"within":[153],"geometry":[155],"today.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}
