{"id":"https://openalex.org/W2098354393","doi":"https://doi.org/10.1093/logcom/exl014","title":"First-order Definable Retraction Problems for Posets and Reflexive Graphs","display_name":"First-order Definable Retraction Problems for Posets and Reflexive Graphs","publication_year":2006,"publication_date":"2006-08-23","ids":{"openalex":"https://openalex.org/W2098354393","doi":"https://doi.org/10.1093/logcom/exl014","mag":"2098354393"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exl014","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exl014","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://durham-repository.worktribe.com/output/1558806","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057975755","display_name":"V\u00edctor Dalmau","orcid":"https://orcid.org/0000-0002-9365-7372"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Universitat Pompeu Fabra","ror":"https://ror.org/04n0g0b29","country_code":"ES","type":"education","lineage":["https://openalex.org/I170486558"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"V. Dalmau","raw_affiliation_strings":["Department of Technology, University Pompeu Fabra, Barcelona 08003, Spain","Department of Technology, University Pompeu Fabra, Barcelona 08003, Spain. E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Technology, University Pompeu Fabra, Barcelona 08003, Spain","institution_ids":["https://openalex.org/I170486558"]},{"raw_affiliation_string":"Department of Technology, University Pompeu Fabra, Barcelona 08003, Spain. E-mail:","institution_ids":["https://openalex.org/I170486558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003558662","display_name":"Andrei Krokhin","orcid":"https://orcid.org/0000-0003-4373-8227"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. Krokhin","raw_affiliation_strings":["Department of Computer Science, University of Durham, Durham, DH1 3LE, UK","Department of Computer Science, University of Durham, Durham, DH1 3LE, UK. E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Durham, Durham, DH1 3LE, UK","institution_ids":["https://openalex.org/I190082696"]},{"raw_affiliation_string":"Department of Computer Science, University of Durham, Durham, DH1 3LE, UK. E-mail:","institution_ids":["https://openalex.org/I190082696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016192081","display_name":"Beno\u00eet Larose","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. Larose","raw_affiliation_strings":["Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, Canada H3G 1M8","Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, Canada H3G 1M8. Email:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, Canada H3G 1M8","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, Canada H3G 1M8. Email:","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.6462,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72297563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"1","first_page":"31","last_page":"51"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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":0.9983000159263611,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reflexivity","display_name":"Reflexivity","score":0.6385176777839661},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5143500566482544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5106642842292786},{"id":"https://openalex.org/keywords/star-product","display_name":"Star product","score":0.49067962169647217},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43411874771118164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3318289816379547},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33116471767425537},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.19433659315109253},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.1125049889087677}],"concepts":[{"id":"https://openalex.org/C13200473","wikidata":"https://www.wikidata.org/wiki/Q2747831","display_name":"Reflexivity","level":2,"score":0.6385176777839661},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5143500566482544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5106642842292786},{"id":"https://openalex.org/C195800304","wikidata":"https://www.wikidata.org/wiki/Q7601281","display_name":"Star product","level":2,"score":0.49067962169647217},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43411874771118164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3318289816379547},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33116471767425537},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.19433659315109253},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.1125049889087677},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"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":3,"locations":[{"id":"doi:10.1093/logcom/exl014","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exl014","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:6667","is_oa":false,"landing_page_url":"http://dro.dur.ac.uk/6667/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Journal of logic and computation, 2007, Vol.17(1), pp.31-51 [Peer Reviewed Journal]","raw_type":"Article"},{"id":"pmh:oai:durham-repository.worktribe.com:1558806","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1558806","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:durham-repository.worktribe.com:1558806","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1558806","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W2465950","https://openalex.org/W68851164","https://openalex.org/W164727061","https://openalex.org/W1482193060","https://openalex.org/W1489296438","https://openalex.org/W1565047086","https://openalex.org/W1571873445","https://openalex.org/W1657692463","https://openalex.org/W1696059587","https://openalex.org/W1965377399","https://openalex.org/W1967236745","https://openalex.org/W1978227174","https://openalex.org/W1979514837","https://openalex.org/W1986537785","https://openalex.org/W2012108763","https://openalex.org/W2026745535","https://openalex.org/W2028815583","https://openalex.org/W2038074093","https://openalex.org/W2062791929","https://openalex.org/W2073227282","https://openalex.org/W2089606669","https://openalex.org/W2094346430","https://openalex.org/W2114841580","https://openalex.org/W2132911512","https://openalex.org/W2134850460","https://openalex.org/W2150339067","https://openalex.org/W2166197332","https://openalex.org/W2504299149","https://openalex.org/W3104030884","https://openalex.org/W4205302785","https://openalex.org/W4212857488","https://openalex.org/W4254380579","https://openalex.org/W4285719527","https://openalex.org/W4300915415"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2017331178","https://openalex.org/W2964072617","https://openalex.org/W2976797620","https://openalex.org/W2260035625","https://openalex.org/W2054384926","https://openalex.org/W2061311068","https://openalex.org/W2562957045","https://openalex.org/W3216043834","https://openalex.org/W2078050303"],"abstract_inverted_index":{"A":[0],"retraction":[1,52],"from":[2,13],"a":[3,11,51],"structure":[4],"P":[5,14],"to":[6],"its":[7],"substructure":[8],"Q":[9,16,37,54],"is":[10,18,55],"homomorphism":[12],"onto":[15,53],"that":[17,39,49],"the":[19,40],"identity":[20],"on":[21],"Q.":[22],"We":[23],"present":[24],"an":[25],"algebraic":[26],"condition":[27],"which":[28],"completely":[29],"characterzies":[30],"all":[31,34,43],"posets":[32,44],"and":[33],"reflexive":[35,46],"graphs":[36],"such":[38],"class":[41],"of":[42],"or":[45],"graphs,":[47],"respectively,":[48],"admit":[50],"first-order":[56],"definable.":[57]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}