{"id":"https://openalex.org/W2060706274","doi":"https://doi.org/10.1007/s10994-011-5248-5","title":"Construction and learnability of canonical Horn formulas","display_name":"Construction and learnability of canonical Horn formulas","publication_year":2011,"publication_date":"2011-06-03","ids":{"openalex":"https://openalex.org/W2060706274","doi":"https://doi.org/10.1007/s10994-011-5248-5","mag":"2060706274"},"language":"en","primary_location":{"id":"doi:10.1007/s10994-011-5248-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-011-5248-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-011-5248-5.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s10994-011-5248-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007835329","display_name":"Marta Arias","orcid":"https://orcid.org/0000-0001-7359-1815"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Marta Arias","raw_affiliation_strings":["LARCA Research Group, Departament LSI, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LARCA Research Group, Departament LSI, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046454039","display_name":"Jos\u00e9 L. Balc\u00e1zar","orcid":"https://orcid.org/0000-0003-4248-4528"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 L. Balc\u00e1zar","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","Departamento de Matem\u00e1ticas, Estad\u00edstica Y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Estad\u00edstica Y Computaci\u00f3n, Universidad de Cantabria, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007835329"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.451,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.92816369,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"85","issue":"3","first_page":"273","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9998999834060669,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9830999970436096,"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":0.9679999947547913,"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/french-horn","display_name":"French horn","score":0.8714432716369629},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6584230661392212},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.6449421644210815},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5997514128684998},{"id":"https://openalex.org/keywords/learnability","display_name":"Learnability","score":0.5884184837341309},{"id":"https://openalex.org/keywords/horn-clause","display_name":"Horn clause","score":0.5850034356117249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5422656536102295},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.4873879551887512},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.43257105350494385},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3922615945339203},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3690701127052307},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3617832660675049},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3538244962692261},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.341762900352478},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33888792991638184},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22971808910369873},{"id":"https://openalex.org/keywords/logic-programming","display_name":"Logic programming","score":0.12959322333335876},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06450116634368896}],"concepts":[{"id":"https://openalex.org/C152076505","wikidata":"https://www.wikidata.org/wiki/Q1126540","display_name":"French horn","level":2,"score":0.8714432716369629},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6584230661392212},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.6449421644210815},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5997514128684998},{"id":"https://openalex.org/C2777723229","wikidata":"https://www.wikidata.org/wiki/Q4367921","display_name":"Learnability","level":2,"score":0.5884184837341309},{"id":"https://openalex.org/C189790780","wikidata":"https://www.wikidata.org/wiki/Q933932","display_name":"Horn clause","level":3,"score":0.5850034356117249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5422656536102295},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.4873879551887512},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.43257105350494385},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3922615945339203},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3690701127052307},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3617832660675049},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3538244962692261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.341762900352478},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33888792991638184},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22971808910369873},{"id":"https://openalex.org/C128838566","wikidata":"https://www.wikidata.org/wiki/Q275603","display_name":"Logic programming","level":2,"score":0.12959322333335876},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06450116634368896},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10994-011-5248-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-011-5248-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-011-5248-5.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.212.6807","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.6807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://personales.unican.es/balcazarjl/writings/afpcanon.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s10994-011-5248-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-011-5248-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-011-5248-5.pdf","source":{"id":"https://openalex.org/S62148650","display_name":"Machine Learning","issn_l":"0885-6125","issn":["0885-6125","1573-0565"],"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":"Machine Learning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2060706274.pdf","grobid_xml":"https://content.openalex.org/works/W2060706274.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W26297348","https://openalex.org/W106642128","https://openalex.org/W1511224498","https://openalex.org/W1530765221","https://openalex.org/W1551410838","https://openalex.org/W1564663950","https://openalex.org/W1570891932","https://openalex.org/W1873174914","https://openalex.org/W1946621657","https://openalex.org/W1989445634","https://openalex.org/W1994962776","https://openalex.org/W2012644520","https://openalex.org/W2013012666","https://openalex.org/W2018908820","https://openalex.org/W2019363670","https://openalex.org/W2021015114","https://openalex.org/W2028631633","https://openalex.org/W2034262006","https://openalex.org/W2038897673","https://openalex.org/W2058269520","https://openalex.org/W2072284346","https://openalex.org/W2085089824","https://openalex.org/W2087588854","https://openalex.org/W2131102221","https://openalex.org/W2145062905","https://openalex.org/W2163148061","https://openalex.org/W2294862448","https://openalex.org/W2997023162","https://openalex.org/W3124500340","https://openalex.org/W4210406996","https://openalex.org/W4238048572","https://openalex.org/W4238893454","https://openalex.org/W6601082558","https://openalex.org/W6630507581","https://openalex.org/W6631832154","https://openalex.org/W6632877634"],"related_works":["https://openalex.org/W2372612917","https://openalex.org/W1991403408","https://openalex.org/W1521840795","https://openalex.org/W2404351495","https://openalex.org/W2600034178","https://openalex.org/W328089188","https://openalex.org/W2542670467","https://openalex.org/W121467217","https://openalex.org/W1808107509","https://openalex.org/W2064560955"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
