{"id":"https://openalex.org/W2620725705","doi":"https://doi.org/10.1109/ismvl.2017.43","title":"On the Nonexistence of Minimal Strong Partial Clones","display_name":"On the Nonexistence of Minimal Strong Partial Clones","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2620725705","doi":"https://doi.org/10.1109/ismvl.2017.43","mag":"2620725705"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2017.43","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01504011/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066732273","display_name":"Miguel Couceiro","orcid":"https://orcid.org/0000-0003-2316-7623"},"institutions":[{"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/I1326498283","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Miguel Couceiro","raw_affiliation_strings":["LORIA (CNRS-inria Nancy G.E.-Universit\u00e9 de Lorraine), Vandmuvre-l\u00e8s-Nancy, France"],"affiliations":[{"raw_affiliation_string":"LORIA (CNRS-inria Nancy G.E.-Universit\u00e9 de Lorraine), Vandmuvre-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210121838","https://openalex.org/I90183372","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006700188","display_name":"Lucien Haddad","orcid":null},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lucien Haddad","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, Coll\u00e8ge Militaire, Royal Kingston, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Coll\u00e8ge Militaire, Royal Kingston, Ontario, Canada","institution_ids":["https://openalex.org/I51768193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016608014","display_name":"Karsten Sch\u00f6lzel","orcid":"https://orcid.org/0000-0003-4041-4219"},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Karsten Scholzel","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, Coll\u00e8ge Militaire, Royal Kingston, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Coll\u00e8ge Militaire, Royal Kingston, Ontario, Canada","institution_ids":["https://openalex.org/I51768193"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":1,"citation_normalized_percentile":{"value":0.604638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":63,"max":71},"biblio":{"volume":null,"issue":null,"first_page":"82","last_page":"87"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9957,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9957,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9869,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9668,"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/cardinality","display_name":"Cardinality (data modeling)","score":0.87580395},{"id":"https://openalex.org/keywords/clone","display_name":"clone (Java method)","score":0.8210622},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5556592},{"id":"https://openalex.org/keywords/partial-function","display_name":"Partial function","score":0.44696048}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.87580395},{"id":"https://openalex.org/C81089528","wikidata":"https://www.wikidata.org/wiki/Q5134986","display_name":"clone (Java method)","level":3,"score":0.8210622},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6347605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5730989},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5556592},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4788432},{"id":"https://openalex.org/C182359184","wikidata":"https://www.wikidata.org/wiki/Q1756942","display_name":"Partial function","level":2,"score":0.44696048},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36432248},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30955875},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.18844923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1751281},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.1395337},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.10280514},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.043504298},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2017.43","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-01504011","pdf_url":"https://inria.hal.science/hal-01504011/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01504011/file/KLM-01.03.2017.pdf","pdf_url":"https://inria.hal.science/hal-01504011/file/KLM-01.03.2017.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-01504011/file/KLM-01.03.2017.pdf","pdf_url":"https://hal.inria.fr/hal-01504011/file/KLM-01.03.2017.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-01504011/document","pdf_url":"https://hal.inria.fr/hal-01504011/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-01504011","pdf_url":"https://inria.hal.science/hal-01504011/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":7,"referenced_works":["https://openalex.org/W2026749131","https://openalex.org/W2029350735","https://openalex.org/W2051562247","https://openalex.org/W2058313567","https://openalex.org/W2152810174","https://openalex.org/W4300191463","https://openalex.org/W649821374"],"related_works":["https://openalex.org/W4290944868","https://openalex.org/W4287666949","https://openalex.org/W3085389725","https://openalex.org/W2952613304","https://openalex.org/W2950265542","https://openalex.org/W2145635797","https://openalex.org/W2141060200","https://openalex.org/W2055384243","https://openalex.org/W2041561968","https://openalex.org/W12813696"],"abstract_inverted_index":{"Let":[0],"k":[1,17],"be":[2],"a":[3,29,59],"k-element":[4],"set.":[5],"We":[6,46],"show":[7,24,48],"that":[8,25,49],"the":[9,34],"lattice":[10],"of":[11,36,40,43,61,64],"all":[12,37,52],"strong":[13,30,55,65],"partial":[14,31,38,56,66],"clones":[15],"on":[16],"has":[18],"no":[19],"minimal":[20],"elements.":[21],"Moreover,":[22],"we":[23],"if":[26],"C":[27,41],"is":[28,42],"clone,":[32],"then":[33],"family":[35,60],"subclones":[39],"continuum":[44,62],"cardinality.":[45],"also":[47],"in":[50],"almost":[51],"cases,":[53],"every":[54],"clone":[57],"contains":[58],"cardinality":[63],"subclones.":[67]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2620725705","counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2024-12-14T16:45:49.266749","created_date":"2017-06-09"}