{"id":"https://openalex.org/W3092351866","doi":"https://doi.org/10.15439/2020f169","title":"Computing Duals of Finite G\u00f6del Algebras","display_name":"Computing Duals of Finite G\u00f6del Algebras","publication_year":2020,"publication_date":"2020-09-26","ids":{"openalex":"https://openalex.org/W3092351866","doi":"https://doi.org/10.15439/2020f169","mag":"3092351866"},"language":"en","primary_location":{"id":"doi:10.15439/2020f169","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2020f169","pdf_url":"https://annals-csis.org/proceedings/2020/drp/pdf/169.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://annals-csis.org/proceedings/2020/drp/pdf/169.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044747677","display_name":"Pietro Codara","orcid":"https://orcid.org/0000-0002-0525-4718"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Pietro Codara","raw_affiliation_strings":["Dipartimento di Informatica, Universit degli Studi di Milano, Italy","Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit degli Studi di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089875856","display_name":"Gabriele Maurina","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gabriele Maurina","raw_affiliation_strings":["Dipartimento di Informatica, Universit degli Studi di Milano, Italy","Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit degli Studi di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056405102","display_name":"Diego Valota","orcid":"https://orcid.org/0000-0002-1287-0527"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Diego Valota","raw_affiliation_strings":["Dipartimento di Informatica, Universit degli Studi di Milano, Italy","Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit degli Studi di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1920686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":null,"first_page":"31","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9995999932289124,"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/T11567","display_name":"semigroups and automata theory","score":0.9994000196456909,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.9370399713516235},{"id":"https://openalex.org/keywords/python","display_name":"Python (programming language)","score":0.8302485942840576},{"id":"https://openalex.org/keywords/g\u00f6del","display_name":"G\u00f6del","score":0.5885108709335327},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5807284712791443},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43685173988342285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4364981949329376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4238019585609436},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35075685381889343},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3061774969100952},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28654247522354126},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28377074003219604},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12309092283248901}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.9370399713516235},{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.8302485942840576},{"id":"https://openalex.org/C2781302003","wikidata":"https://www.wikidata.org/wiki/Q3294091","display_name":"G\u00f6del","level":2,"score":0.5885108709335327},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5807284712791443},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43685173988342285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4364981949329376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4238019585609436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35075685381889343},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3061774969100952},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28654247522354126},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28377074003219604},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12309092283248901}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.15439/2020f169","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2020f169","pdf_url":"https://annals-csis.org/proceedings/2020/drp/pdf/169.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:air.unimi.it:2434/774667","is_oa":true,"landing_page_url":"http://hdl.handle.net/2434/774667","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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":null,"raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:oai:doaj.org/article:be21050a3be3485493f06675e3c2d04e","is_oa":false,"landing_page_url":"https://doaj.org/article/be21050a3be3485493f06675e3c2d04e","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of computer science and information systems, Vol 21, Pp 31-34 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.15439/2020f169","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2020f169","pdf_url":"https://annals-csis.org/proceedings/2020/drp/pdf/169.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3092351866.pdf","grobid_xml":"https://content.openalex.org/works/W3092351866.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W105203805","https://openalex.org/W135509127","https://openalex.org/W241117969","https://openalex.org/W312536321","https://openalex.org/W1965276800","https://openalex.org/W1970200849","https://openalex.org/W1970249071","https://openalex.org/W1983382657","https://openalex.org/W1983523891","https://openalex.org/W2026315522","https://openalex.org/W2028221785","https://openalex.org/W2036826699","https://openalex.org/W2079799116","https://openalex.org/W2093637292","https://openalex.org/W2096482476","https://openalex.org/W2417863416","https://openalex.org/W2522745996","https://openalex.org/W2557191709","https://openalex.org/W2752885492","https://openalex.org/W2893601560","https://openalex.org/W2899358613","https://openalex.org/W2946908180","https://openalex.org/W2956092794","https://openalex.org/W3145128584","https://openalex.org/W3152800724","https://openalex.org/W6610863187","https://openalex.org/W6673770710","https://openalex.org/W6674317552","https://openalex.org/W6726989944"],"related_works":["https://openalex.org/W2536013957","https://openalex.org/W4322492640","https://openalex.org/W2012754903","https://openalex.org/W2949039133","https://openalex.org/W3049013366","https://openalex.org/W2090263210","https://openalex.org/W2058152104","https://openalex.org/W2260525017","https://openalex.org/W2341492732","https://openalex.org/W2481726913"],"abstract_inverted_index":{"We":[0],"introduce":[1],"an":[2],"algorithm":[3,23],"that":[4],"computes":[5],"and":[6],"counts":[7],"the":[8,26,39],"duals":[9],"of":[10,14,21,28,45],"finite":[11],"Gdel-Dummett":[12],"algebras":[13],"k":[15],"1":[16],"elements.":[17],"The":[18],"computational":[19],"cost":[20],"our":[22],"depends":[24],"on":[25],"factorization":[27],"k,":[29],"nevertheless":[30],"a":[31],"Python":[32],"implementation":[33],"is":[34],"sufficiently":[35],"fast":[36],"to":[37],"compute":[38],"results":[40],"for":[41],"very":[42],"large":[43],"values":[44],"k.":[46]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}