{"id":"https://openalex.org/W2963653872","doi":"https://doi.org/10.1007/s10994-019-05862-7","title":"Learning higher-order logic programs","display_name":"Learning higher-order logic programs","publication_year":2019,"publication_date":"2019-12-03","ids":{"openalex":"https://openalex.org/W2963653872","doi":"https://doi.org/10.1007/s10994-019-05862-7","mag":"2963653872"},"language":"en","primary_location":{"id":"doi:10.1007/s10994-019-05862-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-019-05862-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-019-05862-7.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10994-019-05862-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008794311","display_name":"Andrew Cropper","orcid":"https://orcid.org/0000-0002-4543-7199"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Andrew Cropper","raw_affiliation_strings":["University of Oxford, Oxford, UK","University of Oxford"],"raw_orcid":"https://orcid.org/0000-0002-4543-7199","affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026110953","display_name":"Rolf Morel","orcid":"https://orcid.org/0000-0001-6063-6965"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rolf Morel","raw_affiliation_strings":["University of Oxford, Oxford, UK","University of Oxford"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076917665","display_name":"Stephen Muggleton","orcid":"https://orcid.org/0000-0001-6061-6104"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stephen Muggleton","raw_affiliation_strings":["Imperial College London, London, UK","Imperial College London"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Imperial College London","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008794311"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.867,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80898704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"109","issue":"7","first_page":"1289","last_page":"1322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9990000128746033,"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":0.9990000128746033,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9975000023841858,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9954000115394592,"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/inductive-logic-programming","display_name":"Inductive logic programming","score":0.73045814037323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6610569357872009},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5999926924705505},{"id":"https://openalex.org/keywords/prolog","display_name":"Prolog","score":0.5263763070106506},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.47221213579177856},{"id":"https://openalex.org/keywords/horn-clause","display_name":"Horn clause","score":0.4619354009628296},{"id":"https://openalex.org/keywords/logic-programming","display_name":"Logic programming","score":0.4590308964252472},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3432697355747223}],"concepts":[{"id":"https://openalex.org/C2779382394","wikidata":"https://www.wikidata.org/wiki/Q1464197","display_name":"Inductive logic programming","level":2,"score":0.73045814037323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6610569357872009},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5999926924705505},{"id":"https://openalex.org/C81721847","wikidata":"https://www.wikidata.org/wiki/Q163468","display_name":"Prolog","level":2,"score":0.5263763070106506},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.47221213579177856},{"id":"https://openalex.org/C189790780","wikidata":"https://www.wikidata.org/wiki/Q933932","display_name":"Horn clause","level":3,"score":0.4619354009628296},{"id":"https://openalex.org/C128838566","wikidata":"https://www.wikidata.org/wiki/Q275603","display_name":"Logic programming","level":2,"score":0.4590308964252472},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3432697355747223},{"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":4,"locations":[{"id":"doi:10.1007/s10994-019-05862-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-019-05862-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-019-05862-7.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1907.10953","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.10953","pdf_url":"https://arxiv.org/pdf/1907.10953","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2963653872","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.10953.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1907.10953","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.10953","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"}],"best_oa_location":{"id":"doi:10.1007/s10994-019-05862-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10994-019-05862-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10994-019-05862-7.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6299999952316284,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G1795072736","display_name":null,"funder_award_id":"EP/R022291/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3207594375","display_name":"DTP 2016-2017 University of Oxford","funder_award_id":"EP/N509711/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6133211897","display_name":null,"funder_award_id":"EP/P006272/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963653872.pdf","grobid_xml":"https://content.openalex.org/works/W2963653872.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W41262972","https://openalex.org/W120607416","https://openalex.org/W1499053674","https://openalex.org/W1523044720","https://openalex.org/W1557360661","https://openalex.org/W1766332311","https://openalex.org/W1769664091","https://openalex.org/W1961824217","https://openalex.org/W1992578025","https://openalex.org/W1999138184","https://openalex.org/W2012436850","https://openalex.org/W2013181156","https://openalex.org/W2013596093","https://openalex.org/W2022879002","https://openalex.org/W2027657506","https://openalex.org/W2033072307","https://openalex.org/W2070902649","https://openalex.org/W2076698873","https://openalex.org/W2087096450","https://openalex.org/W2091092523","https://openalex.org/W2093252035","https://openalex.org/W2093535699","https://openalex.org/W2093717447","https://openalex.org/W2119831128","https://openalex.org/W2132525863","https://openalex.org/W2177951040","https://openalex.org/W2263738566","https://openalex.org/W2338661386","https://openalex.org/W2395903764","https://openalex.org/W2418265082","https://openalex.org/W2477228960","https://openalex.org/W2484153108","https://openalex.org/W2497826135","https://openalex.org/W2574654054","https://openalex.org/W2798878581","https://openalex.org/W2806743074","https://openalex.org/W2888757411","https://openalex.org/W2911601159","https://openalex.org/W2943979673","https://openalex.org/W2963139884","https://openalex.org/W4237412827","https://openalex.org/W4249279349","https://openalex.org/W6601651175","https://openalex.org/W6604877402","https://openalex.org/W6638065767","https://openalex.org/W6661953458","https://openalex.org/W6685414947","https://openalex.org/W6686482619","https://openalex.org/W6738852829","https://openalex.org/W6752096879"],"related_works":["https://openalex.org/W2610403318","https://openalex.org/W3201524183","https://openalex.org/W2106169444","https://openalex.org/W2978856588","https://openalex.org/W2551672022","https://openalex.org/W3044725263","https://openalex.org/W2498573650","https://openalex.org/W2798628553","https://openalex.org/W1841605138","https://openalex.org/W2963703632","https://openalex.org/W1680127546","https://openalex.org/W1971275694","https://openalex.org/W2798872050","https://openalex.org/W3119214637","https://openalex.org/W2320781667","https://openalex.org/W2626901752","https://openalex.org/W2550100435","https://openalex.org/W2995436254","https://openalex.org/W2134100786","https://openalex.org/W2555472853"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"key":[2],"feature":[3],"of":[4,82],"inductive":[5],"logic":[6],"programming":[7],"is":[8],"its":[9],"ability":[10],"to":[11,29,39,49,73,180],"learn":[12,30],"first-order":[13,65,165,182],"programs,":[14,62,66,75,183],"which":[15,76],"are":[16],"intrinsically":[17],"more":[18],"expressive":[19],"than":[20,64],"propositional":[21],"programs.":[22,32,168],"In":[23],"this":[24],"paper,":[25],"we":[26,34],"introduce":[27],"techniques":[28],"higher-order":[31,42,47,61,132,135,167,185],"Specifically,":[33],"extend":[35],"meta-interpretive":[36],"learning":[37,41,60,131,164,181,184,194],"(MIL)":[38],"support":[40,130,172],"programs":[43,133,186],"by":[44],"allowing":[45],"for":[46,142,145],"definitions":[48],"be":[50],"used":[51],"as":[52,139],"background":[53],"knowledge.":[54],"Our":[55,169],"theoretical":[56,174],"results":[57,171],"show":[58,177],"that":[59,162],"rather":[63],"can":[67,187],"reduce":[68,193],"the":[69,80,83,98,113],"textual":[70],"complexity":[71],"required":[72],"express":[74],"in":[77,93],"turn":[78],"reduces":[79],"size":[81],"hypothesis":[84],"space":[85],"and":[86,112,134,143,159,166,176,192],"sample":[87],"complexity.":[88],"We":[89,147],"implement":[90],"our":[91,173],"idea":[92],"two":[94],"new":[95],"MIL":[96],"systems:":[97],"Prolog":[99],"system":[100,115],"$$\\text":[101,116],"{Metagol}_{ho}$$":[102],"<mml:math":[103,118],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[104,119],"<mml:msub>":[105,120],"<mml:mtext>Metagol</mml:mtext>":[106],"<mml:mrow>":[107,122],"<mml:mi>ho</mml:mi>":[108,123],"</mml:mrow>":[109,124],"</mml:msub>":[110,125],"</mml:math>":[111,126],"ASP":[114],"{HEXMIL}_{ho}$$":[117],"<mml:mtext>HEXMIL</mml:mtext>":[121],".":[127,146],"Both":[128],"systems":[129],"predicate":[136],"invention,":[137],"such":[138],"inventing":[140],"functions":[141],"conditions":[144],"conduct":[148],"experiments":[149],"on":[150],"four":[151],"domains":[152],"(robot":[153],"strategies,":[154],"chess":[155],"playing,":[156],"list":[157],"transformations,":[158],"string":[160],"decryption)":[161],"compare":[163],"experimental":[170],"claims":[175],"that,":[178],"compared":[179],"significantly":[188],"improve":[189],"predictive":[190],"accuracies":[191],"times.":[195]},"counts_by_year":[{"year":2020,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
