{"id":"https://openalex.org/W4205248893","doi":"https://doi.org/10.46298/lmcs-17(4:18)2021","title":"Efficient Full Higher-Order Unification","display_name":"Efficient Full Higher-Order Unification","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4205248893","doi":"https://doi.org/10.46298/lmcs-17(4:18)2021"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-17(4:18)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(4:18)2021","pdf_url":"https://lmcs.episciences.org/8837/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/8837/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089828576","display_name":"Petar Vukmirovi\u0107","orcid":"https://orcid.org/0000-0001-7049-6847"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Petar Vukmirovi\u0107","raw_affiliation_strings":["Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","San Francisco, CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]},{"raw_affiliation_string":"San Francisco, CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028260073","display_name":"Alexander Bentkamp","orcid":"https://orcid.org/0000-0002-7158-3595"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alexander Bentkamp","raw_affiliation_strings":["Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","San Francisco, CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vrije Universiteit Amsterdam, De Boelelaan 1111, 1081 HV Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]},{"raw_affiliation_string":"San Francisco, CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026184195","display_name":"Visa Nummelin","orcid":"https://orcid.org/0000-0003-0078-790X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Visa Nummelin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3994,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.85426999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"Volume 17, Issue 4","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":0.9991000294685364,"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":0.9991000294685364,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9908000230789185,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9860000014305115,"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/unification","display_name":"Unification","score":0.8552678823471069},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6370583176612854},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.6022210717201233},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.567511796951294},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.5428405404090881},{"id":"https://openalex.org/keywords/search-engine-indexing","display_name":"Search engine indexing","score":0.5186542868614197},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.518372118473053},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47344326972961426},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43359988927841187},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4011586904525757},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33374831080436707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29792356491088867},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2535625398159027},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12874042987823486},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.11825454235076904}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.8552678823471069},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6370583176612854},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.6022210717201233},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.567511796951294},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.5428405404090881},{"id":"https://openalex.org/C75165309","wikidata":"https://www.wikidata.org/wiki/Q2258979","display_name":"Search engine indexing","level":2,"score":0.5186542868614197},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.518372118473053},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47344326972961426},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43359988927841187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4011586904525757},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33374831080436707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29792356491088867},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2535625398159027},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12874042987823486},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.11825454235076904},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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:10.46298/lmcs-17(4:18)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(4:18)2021","pdf_url":"https://lmcs.episciences.org/8837/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2011.09507","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.09507","pdf_url":"https://arxiv.org/pdf/2011.09507","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":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:adee08f63f474fb9b16d0f29e84ec2ca","is_oa":true,"landing_page_url":"https://doaj.org/article/adee08f63f474fb9b16d0f29e84ec2ca","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":"Logical Methods in Computer Science, Vol Volume 17, Issue 4 (2021)","raw_type":"article"},{"id":"pmh:vu:oai:research.vu.nl:publications/ba14f7ee-7a38-4862-b304-6ce1d311e430","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/ba14f7ee-7a38-4862-b304-6ce1d311e430","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"Logical Methods in Computer Science, 17(4):18. Technischen Universitat Braunschweig","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-17(4:18)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(4:18)2021","pdf_url":"https://lmcs.episciences.org/8837/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G3936710689","display_name":null,"funder_award_id":"016.Vidi.189.037","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G6937246109","display_name":null,"funder_award_id":"713999","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4205248893.pdf","grobid_xml":"https://content.openalex.org/works/W4205248893.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1781094","https://openalex.org/W79561349","https://openalex.org/W333834217","https://openalex.org/W1424724424","https://openalex.org/W1494812539","https://openalex.org/W1526060127","https://openalex.org/W1535171920","https://openalex.org/W1598398705","https://openalex.org/W1974087219","https://openalex.org/W1982776852","https://openalex.org/W2074213277","https://openalex.org/W2100738443","https://openalex.org/W2102647770","https://openalex.org/W2106192381","https://openalex.org/W2107463944","https://openalex.org/W2109703800","https://openalex.org/W2229132677","https://openalex.org/W2243212299","https://openalex.org/W2484664235","https://openalex.org/W2573091043","https://openalex.org/W2749302087","https://openalex.org/W2886133399","https://openalex.org/W2965894480","https://openalex.org/W2969261745","https://openalex.org/W3010230113","https://openalex.org/W3194576001","https://openalex.org/W4205248893","https://openalex.org/W4206717895"],"related_works":["https://openalex.org/W4246350535","https://openalex.org/W4238632608","https://openalex.org/W3083050876","https://openalex.org/W1875958796","https://openalex.org/W1780472831","https://openalex.org/W1976200187","https://openalex.org/W1561644379","https://openalex.org/W2969536091","https://openalex.org/W783488073","https://openalex.org/W2584449131"],"abstract_inverted_index":{"We":[0,45],"developed":[1],"a":[2,39,47,53,80],"procedure":[3,19,54],"to":[4],"enumerate":[5],"complete":[6,41],"sets":[7],"of":[8,43],"higher-order":[9,65],"unifiers":[10,23],"based":[11],"on":[12],"work":[13],"by":[14,24],"Jensen":[15,84],"and":[16,30,51,85],"Pietrzykowski.":[17],"Our":[18,59],"removes":[20],"many":[21],"redundant":[22],"carefully":[25],"restricting":[26],"the":[27,73],"search":[28],"space":[29],"tightly":[31],"integrating":[32],"decision":[33],"procedures":[34],"for":[35,55],"fragments":[36],"that":[37],"admit":[38],"finite":[40],"set":[42],"unifiers.":[44,58],"identify":[46],"new":[48,64],"such":[49],"fragment":[50],"describe":[52],"computing":[56],"its":[57],"unification":[60],"procedure,":[61],"together":[62],"with":[63],"term":[66],"indexing":[67],"data":[68],"structures,":[69],"is":[70],"implemented":[71],"in":[72],"Zipperposition":[74],"theorem":[75],"prover.":[76],"Experimental":[77],"evaluation":[78],"shows":[79],"clear":[81],"advantage":[82],"over":[83],"Pietrzykowski's":[86],"procedure.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}