{"id":"https://openalex.org/W4404570239","doi":"https://doi.org/10.4230/lipics.csl.2026.6","title":"Hereditary First-Order Logic: the Tractable Quantifier Prefix Classes","display_name":"Hereditary First-Order Logic: the Tractable Quantifier Prefix Classes","publication_year":2024,"publication_date":"2024-11-16","ids":{"openalex":"https://openalex.org/W4404570239","doi":"https://doi.org/10.4230/lipics.csl.2026.6"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2411.10860","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.10860","pdf_url":"https://arxiv.org/pdf/2411.10860","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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2411.10860","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058729018","display_name":"Manuel Bodirsky","orcid":"https://orcid.org/0000-0001-8228-3611"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bodirsky, Manuel","raw_affiliation_strings":["Institut f\u00fcr Algebra, TU Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8228-3611","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, TU Dresden, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061298383","display_name":"Santiago Guzm\u00e1n\u2010Pro","orcid":"https://orcid.org/0000-0003-0312-9654"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guzm\u00e1n-Pro, Santiago","raw_affiliation_strings":["Institut f\u00fcr Algebra, TU Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0312-9654","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, TU Dresden, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058729018"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24478762,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10142","display_name":"Formal Methods in Verification","score":0.9984999895095825,"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/T10142","display_name":"Formal Methods in Verification","score":0.9984999895095825,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9789999723434448,"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/order","display_name":"Order (exchange)","score":0.6053065657615662},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40736496448516846},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.19840246438980103}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6053065657615662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40736496448516846},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.19840246438980103},{"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":"pmh:oai:arXiv.org:2411.10860","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.10860","pdf_url":"https://arxiv.org/pdf/2411.10860","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:drops-oai.dagstuhl.de:25430","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2026.6","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol363-csl2026/LIPIcs.CSL.2026.6/LIPIcs.CSL.2026.6.pdf","source":{"id":"https://openalex.org/S4306402524","display_name":"Leibniz-Zentrum f\u00fcr Informatik (Schloss Dagstuhl)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"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":null,"raw_type":"publishedVersion"},{"id":"doi:10.48550/arxiv.2411.10860","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2411.10860","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.4230/lipics.csl.2026.6","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.csl.2026.6","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2411.10860","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2411.10860","pdf_url":"https://arxiv.org/pdf/2411.10860","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1304993860","display_name":null,"funder_award_id":"101071674","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"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4404570239.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Many":[0],"computational":[1,37],"problems":[2],"can":[3,107],"be":[4,108],"modelled":[5],"as":[6,127],"the":[7,35,39,57,97,102,114],"class":[8],"of":[9,29,56,96,101,117],"all":[10],"finite":[11],"structures":[12],"A":[13,30],"that":[14,25,63,70,85,92,152,157],"satisfy":[15],"a":[16,53,78,128,136,160],"fixed":[17],"first-order":[18,137,162],"sentence":[19],"\u03d5":[20,61,80,118,139,164],"hereditarily,":[21],"i.e.,":[22],"we":[23,68,90,150],"require":[24],"every":[26,72],"(induced)":[27],"substructure":[28],"satisfies":[31],"\u03d5.":[32],"We":[33,51],"call":[34],"corresponding":[36],"problem":[38,43],"hereditary":[40],"model":[41],"checking":[42],"for":[44,60,71,159],"\u03d5,":[45],"and":[46,130,145],"denote":[47],"it":[48],"by":[49],"Her(\u03d5).":[50],"present":[52],"complete":[54],"description":[55],"quantifier":[58,74,115,141],"prefixes":[59],"such":[62,84],"Her(\u03d5)":[64,86,106,146,166],"is":[65,87,95,119,135,143,147,154,167],"in":[66,110,131,168],"P;":[67],"show":[69,91,151],"other":[73],"prefix":[75,83,116,142],"there":[76,134,153],"exists":[77],"formula":[79,138,163],"with":[81],"this":[82,132],"coNP-complete.":[88,148],"Specifically,":[89],"if":[93],"Q":[94,122,144],"form":[98,103],"\u2200*\u2203\u2200*":[99],"or":[100,125],"\u2200*\u2203*,":[104],"then":[105],"solved":[109],"polynomial":[111],"time":[112],"whenever":[113],"Q.":[120],"Otherwise,":[121],"contains":[123],"\u2203\u2203\u2200":[124],"\u2203\u2200\u2203":[126],"subword,":[129],"case,":[133],"whose":[140],"Moreover,":[149],"no":[155],"algorithm":[156],"decides":[158],"given":[161],"whether":[165],"P":[169],"(unless":[170],"P=NP).":[171]},"counts_by_year":[],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2024-11-21T00:00:00"}
