{"id":"https://openalex.org/W2587613907","doi":"https://doi.org/10.2168/lmcs-12(4:13)2016","title":"Encoding Monomorphic and Polymorphic Types","display_name":"Encoding Monomorphic and Polymorphic Types","publication_year":2017,"publication_date":"2017-04-27","ids":{"openalex":"https://openalex.org/W2587613907","doi":"https://doi.org/10.2168/lmcs-12(4:13)2016","mag":"2587613907"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-12(4:13)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:13)2016","pdf_url":"https://lmcs.episciences.org/2628/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/2628/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079200257","display_name":"Jasmin Christian Blanchette","orcid":"https://orcid.org/0000-0002-8367-0936"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["DE","FR"],"is_corresponding":true,"raw_author_name":"Jasmin Christian Blanchette","raw_affiliation_strings":["Inria & LORIA, Nancy, France; Max-Planck-Institut fr Informatik, Saarbrcken, Germany","Inria & LORIA, Nancy, France; Max-Planck-Institut f\u00fcr Informatik, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Inria & LORIA, Nancy, France; Max-Planck-Institut fr Informatik, Saarbrcken, Germany","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I4210121838"]},{"raw_affiliation_string":"Inria & LORIA, Nancy, France; Max-Planck-Institut f\u00fcr Informatik, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I4210121838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003240726","display_name":"Sascha B\u00f6hme","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sascha B\u00f6hme","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064907118","display_name":"Andrei Popescu","orcid":"https://orcid.org/0000-0001-8747-0619"},"institutions":[{"id":"https://openalex.org/I60488453","display_name":"Middlesex University","ror":"https://ror.org/01rv4p989","country_code":"GB","type":"education","lineage":["https://openalex.org/I60488453"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrei Popescu","raw_affiliation_strings":["Department of Computer Science, School of Science and Technology, Middlesex University, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, School of Science and Technology, Middlesex University, UK","institution_ids":["https://openalex.org/I60488453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075214611","display_name":"Nicholas Smallbone","orcid":"https://orcid.org/0000-0003-2880-6121"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Nicholas Smallbone","raw_affiliation_strings":["Dept. of CSE, Chalmers University of Technology, Gothenburg, Sweden"],"affiliations":[{"raw_affiliation_string":"Dept. of CSE, Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079200257"],"corresponding_institution_ids":["https://openalex.org/I4210109712","https://openalex.org/I4210121838"],"apc_list":null,"apc_paid":null,"fwci":2.2848,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.9069526,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"Volume 12, 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":0.9833999872207642,"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":0.9833999872207642,"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":0.9190999865531921,"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/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9106000065803528,"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/hol","display_name":"HOL","score":0.9506245851516724},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.8700705766677856},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.7015525698661804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7014073729515076},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6454349160194397},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6087551116943359},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5751096606254578},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.48585960268974304},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34207409620285034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22044289112091064}],"concepts":[{"id":"https://openalex.org/C17435882","wikidata":"https://www.wikidata.org/wiki/Q17030435","display_name":"HOL","level":2,"score":0.9506245851516724},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8700705766677856},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.7015525698661804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7014073729515076},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6454349160194397},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6087551116943359},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5751096606254578},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.48585960268974304},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34207409620285034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22044289112091064},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.2168/lmcs-12(4:13)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:13)2016","pdf_url":"https://lmcs.episciences.org/2628/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:eprints.mdx.ac.uk:16074","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400025","display_name":"Middlesex University Research Repository (Middlesex University Of London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60488453","host_organization_name":"Middlesex University","host_organization_lineage":["https://openalex.org/I60488453"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1609.08916","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1609.08916","pdf_url":"https://arxiv.org/pdf/1609.08916","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:8ed35a2262864b228ee90af20b5be12e","is_oa":true,"landing_page_url":"https://doaj.org/article/8ed35a2262864b228ee90af20b5be12e","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 12, Issue 4 (2017)","raw_type":"article"},{"id":"pmh:oai:research.chalmers.se:503228","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/503228","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.2168/lmcs-12(4:13)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:13)2016","pdf_url":"https://lmcs.episciences.org/2628/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":[],"awards":[{"id":"https://openalex.org/G5106512922","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5808086510","display_name":null,"funder_award_id":"NI 491/14-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6024419964","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6183576995","display_name":null,"funder_award_id":"EP/N019547/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7578079922","display_name":null,"funder_award_id":"/14-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"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/W2587613907.pdf","grobid_xml":"https://content.openalex.org/works/W2587613907.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2950202488","https://openalex.org/W2604424424","https://openalex.org/W2339308944","https://openalex.org/W13634261","https://openalex.org/W4250462479","https://openalex.org/W1581380057","https://openalex.org/W3098927713","https://openalex.org/W3163509751","https://openalex.org/W958050847","https://openalex.org/W1714698337"],"abstract_inverted_index":{"Many":[0],"automatic":[1],"theorem":[2],"provers":[3],"are":[4,15,87],"restricted":[5],"to":[6,26,33,63,124],"untyped":[7,34],"logics,":[8],"and":[9,57,66,103,105],"existing":[10],"translations":[11],"from":[12],"typed":[13],"logics":[14],"bulky":[16],"or":[17],"unsound.":[18],"Recent":[19],"research":[20],"proposes":[21],"monotonicity":[22],"as":[23,91],"a":[24,45],"means":[25],"remove":[27],"some":[28],"clutter":[29],"when":[30],"translating":[31],"monomorphic":[32,109],"first-order":[35],"logic.":[36],"Here":[37],"we":[38],"pursue":[39],"this":[40,112],"approach":[41,62],"systematically,":[42],"analysing":[43],"formally":[44],"variety":[46],"of":[47,74,82,93,101,111],"encodings":[48,86,121],"that":[49,70],"further":[50],"improve":[51],"on":[52,78],"efficiency":[53],"while":[54],"retaining":[55],"soundness":[56,102],"completeness.":[58],"We":[59,97],"extend":[60],"the":[61,72,79,94,108,119],"rank-1":[64],"polymorphism":[65],"present":[67],"alternative":[68],"schemes":[69],"lighten":[71],"translation":[73],"polymorphic":[75],"symbols":[76],"based":[77],"novel":[80],"notion":[81],"\"cover\".":[83],"The":[84],"new":[85,120],"implemented":[88],"in":[89,114],"Isabelle/HOL":[90],"part":[92,110],"Sledgehammer":[95],"tool.":[96],"include":[98],"informal":[99],"proofs":[100],"correctness,":[104],"have":[106],"formalised":[107],"work":[113],"Isabelle/HOL.":[115],"Our":[116],"evaluation":[117],"finds":[118],"vastly":[122],"superior":[123],"previous":[125],"schemes.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-24T08:02:53.985720","created_date":"2025-10-10T00:00:00"}
