{"id":"https://openalex.org/W4386761807","doi":"https://doi.org/10.1093/jigpal/jzad020","title":"Correction to: Decidability of interpretability logics <b>IL</b> <tt>M</tt>0 and <b>IL</b> <tt>W</tt>*","display_name":"Correction to: Decidability of interpretability logics <b>IL</b> <tt>M</tt>0 and <b>IL</b> <tt>W</tt>*","publication_year":2023,"publication_date":"2023-09-14","ids":{"openalex":"https://openalex.org/W4386761807","doi":"https://doi.org/10.1093/jigpal/jzad020"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzad020","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzad020","pdf_url":"https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzad020/51557424/jzad020.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"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":"Logic Journal of the IGPL","raw_type":"journal-article"},"type":"erratum","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzad020/51557424/jzad020.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088390380","display_name":"Luka Mikec","orcid":"https://orcid.org/0000-0003-0938-1033"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Luka Mikec","raw_affiliation_strings":["University of Zagreb"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Zagreb","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011101966","display_name":"Tin Perkov","orcid":"https://orcid.org/0000-0001-8916-0489"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Tin Perkov","raw_affiliation_strings":["University of Zagreb"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Zagreb","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082888611","display_name":"Mladen Vukovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Mladen Vukovi\u0109","raw_affiliation_strings":["University of Zagreb"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Zagreb","institution_ids":["https://openalex.org/I181343428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011101966"],"corresponding_institution_ids":["https://openalex.org/I181343428"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9997000098228455,"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":0.9997000098228455,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9904000163078308,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9652000069618225,"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/decidability","display_name":"Decidability","score":0.8300970196723938},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.7918753027915955},{"id":"https://openalex.org/keywords/tin","display_name":"Tin","score":0.4947606921195984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4398866891860962},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.3751675486564636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32643330097198486},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24506506323814392},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21086278557777405},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.1267964243888855}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8300970196723938},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.7918753027915955},{"id":"https://openalex.org/C525849907","wikidata":"https://www.wikidata.org/wiki/Q1096","display_name":"Tin","level":2,"score":0.4947606921195984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4398866891860962},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.3751675486564636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32643330097198486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24506506323814392},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21086278557777405},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1267964243888855},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jigpal/jzad020","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzad020","pdf_url":"https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzad020/51557424/jzad020.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"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":"Logic Journal of the IGPL","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1093/jigpal/jzad020","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzad020","pdf_url":"https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzad020/51557424/jzad020.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"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":"Logic Journal of the IGPL","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386761807.pdf","grobid_xml":"https://content.openalex.org/works/W4386761807.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2509229232","https://openalex.org/W2754631492","https://openalex.org/W4385583582"],"related_works":["https://openalex.org/W2905433371","https://openalex.org/W4390569940","https://openalex.org/W2888392564","https://openalex.org/W4361193272","https://openalex.org/W4310278675","https://openalex.org/W4388422664","https://openalex.org/W2806259446","https://openalex.org/W2963326959","https://openalex.org/W4247136043","https://openalex.org/W4312407344"],"abstract_inverted_index":{"In":[0],"[2],":[1],"we":[2,17,57],"show":[3],"that":[4],"some":[5],"systems":[6],"of":[7,91,130,152,181,192],"interpretability":[8,50],"logic":[9,51],"are":[10,33,143,148],"decidable,":[11],"namely":[12],"ILM0":[13],"and":[14,16,62,80,112,114,118,160],"ILW|$^*$|\u2060,":[15],"give":[18],"alternative":[19],"proofs":[20],"for":[21,49],"other":[22],"systems,":[23],"which":[24,39,75],"were":[25,102],"already":[26],"known":[27],"to":[28,46,127],"be":[29],"decidable.":[30],"These":[31],"results":[32],"proved":[34],"via":[35],"finite":[36,116],"model":[37],"property,":[38],"is":[40,76,122,135,174],"established":[41],"using":[42],"filtration":[43],"techniques,":[44],"adapted":[45],"Verbrugge":[47,94,141,184],"semantics":[48],"in":[52,65,73,78,82,87,104,110,125,155,161,170,176],"[3].":[53],"During":[54],"further":[55],"research":[56],"(more":[58],"precisely,":[59],"the":[60,105,119,133,163],"second":[61],"third":[63],"author":[64],"collaboration":[66],"with":[67],"S.":[68],"Horvat)":[69],"found":[70],"an":[71,158],"error":[72],"[3],":[74],"described":[77],"detail":[79],"fixed":[81,175],"[1].":[83,171],"Namely,":[84],"filtrations":[85],"defined":[86],"[3]":[88,156],"make":[89],"use":[90],"bisimulations":[92],"between":[93,183],"models":[95,142],"(or":[96],"generalized":[97],"Veltman":[98],"models,":[99,185],"as":[100,168,194],"they":[101,147],"called":[103],"literature":[106],"until":[107],"recently,":[108],"including":[109],"[2]":[111],"[3])":[113],"their":[115],"approximations,":[117],"following":[120],"claim":[121,154,164],"used":[123],"essentially":[124],"order":[126],"obtain":[128],"finiteness":[129],"filtration:":[131],"assuming":[132],"alphabet":[134],"finite,":[136],"if":[137],"worlds":[138],"from":[139],"two":[140],"|$n$|-modally":[144],"equivalent,":[145],"then":[146],"|$n$|-bisimilar.":[149],"The":[150],"proof":[151],"this":[153,173],"contains":[157],"error,":[159],"fact":[162],"does":[165],"not":[166],"hold,":[167],"explained":[169],"Fortunately,":[172],"[1]":[177],"by":[178,187],"changing":[179],"definitions":[180],"(\u2060|$n$|-)bisimulations":[182],"i.e.,":[186],"defining":[188],"a":[189],"weaker":[190],"notion":[191],"w-bisimulation,":[193],"follows.":[195]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}