{"id":"https://openalex.org/W4400223246","doi":"https://doi.org/10.46298/lmcs-20(3:1)2024","title":"On the Satisfiability of Local First-Order Logics with Data","display_name":"On the Satisfiability of Local First-Order Logics with Data","publication_year":2024,"publication_date":"2024-07-02","ids":{"openalex":"https://openalex.org/W4400223246","doi":"https://doi.org/10.46298/lmcs-20(3:1)2024"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(3:1)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(3:1)2024","pdf_url":"https://lmcs.episciences.org/13860/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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/13860/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082538918","display_name":"Benedikt Bollig","orcid":"https://orcid.org/0000-0003-0985-6115"},"institutions":[{"id":"https://openalex.org/I4387154672","display_name":"Laboratoire M\u00e9thodes Formelles","ror":"https://ror.org/00gdtta79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4387154672"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Benedikt Bollig","raw_affiliation_strings":["LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)"],"affiliations":[{"raw_affiliation_string":"LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":["https://openalex.org/I4387154672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040637644","display_name":"Arnaud Sangnier","orcid":"https://orcid.org/0000-0002-6731-0340"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Arnaud Sangnier","raw_affiliation_strings":["IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)"],"affiliations":[{"raw_affiliation_string":"IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)","institution_ids":["https://openalex.org/I4210117673","https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021256988","display_name":"Olivier Stietel","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]},{"id":"https://openalex.org/I4387154672","display_name":"Laboratoire M\u00e9thodes Formelles","ror":"https://ror.org/00gdtta79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4387154672"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Stietel","raw_affiliation_strings":["LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)"],"affiliations":[{"raw_affiliation_string":"LMF - Laboratoire M\u00e9thodes Formelles (4, avenue des Sciences, 91190, Gif-sur-Yvette - France)","institution_ids":["https://openalex.org/I4387154672"]},{"raw_affiliation_string":"IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13 - France)","institution_ids":["https://openalex.org/I4210117673","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082538918"],"corresponding_institution_ids":["https://openalex.org/I4387154672"],"apc_list":null,"apc_paid":null,"fwci":0.368,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61209476,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"Volume 20, Issue 3","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":0.9995999932289124,"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":0.9995999932289124,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9988999962806702,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9973000288009644,"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/undecidable-problem","display_name":"Undecidable problem","score":0.8914943933486938},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7691380977630615},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.7181616425514221},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6252222657203674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5914762020111084},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5669726729393005},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.49217429757118225},{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.4844058156013489},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4635080397129059},{"id":"https://openalex.org/keywords/second-order-logic","display_name":"Second-order logic","score":0.42137348651885986},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2822551131248474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27467483282089233},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.25330811738967896},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23887291550636292},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.213656485080719},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.1289977729320526}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.8914943933486938},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7691380977630615},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.7181616425514221},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6252222657203674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5914762020111084},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5669726729393005},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.49217429757118225},{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.4844058156013489},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4635080397129059},{"id":"https://openalex.org/C144791301","wikidata":"https://www.wikidata.org/wiki/Q1548746","display_name":"Second-order logic","level":4,"score":0.42137348651885986},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2822551131248474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27467483282089233},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.25330811738967896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23887291550636292},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.213656485080719},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.1289977729320526},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.46298/lmcs-20(3:1)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(3:1)2024","pdf_url":"https://lmcs.episciences.org/13860/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:HAL:hal-04796140v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04796140","pdf_url":"https://hal.science/hal-04796140/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 2024, 20 (3), &#x27E8;10.46298/lmcs-20(3:1)2024&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:0ad2e84452094c26b1c2f4d03575c57d","is_oa":true,"landing_page_url":"https://doaj.org/article/0ad2e84452094c26b1c2f4d03575c57d","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 20, Issue 3 (2024)","raw_type":"article"},{"id":"pmh:oai:iris.unige.it:11567/1219791","is_oa":false,"landing_page_url":"https://hdl.handle.net/11567/1219791","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(3:1)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(3:1)2024","pdf_url":"https://lmcs.episciences.org/13860/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":[{"id":"https://metadata.un.org/sdg/11","score":0.7799999713897705,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400223246.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W427880454","https://openalex.org/W815383194","https://openalex.org/W841006609","https://openalex.org/W1489366126","https://openalex.org/W1536964483","https://openalex.org/W1542510688","https://openalex.org/W1542543925","https://openalex.org/W1549008998","https://openalex.org/W1549976573","https://openalex.org/W1590226281","https://openalex.org/W1862276852","https://openalex.org/W1968075259","https://openalex.org/W1992955510","https://openalex.org/W2008070102","https://openalex.org/W2030708891","https://openalex.org/W2053455078","https://openalex.org/W2073614038","https://openalex.org/W2104419987","https://openalex.org/W2131159347","https://openalex.org/W2136823804","https://openalex.org/W2137391466","https://openalex.org/W2240751524","https://openalex.org/W2277581924","https://openalex.org/W2298937928","https://openalex.org/W2951612118","https://openalex.org/W2952624498","https://openalex.org/W2963528658","https://openalex.org/W3089668284","https://openalex.org/W3106753174","https://openalex.org/W4296461668","https://openalex.org/W4300743836"],"related_works":["https://openalex.org/W1556645209","https://openalex.org/W2782243532","https://openalex.org/W2963991671","https://openalex.org/W2240703591","https://openalex.org/W2585890227","https://openalex.org/W3042708252","https://openalex.org/W1543051890","https://openalex.org/W2189598663","https://openalex.org/W3209006398","https://openalex.org/W4377031836"],"abstract_inverted_index":{"We":[0],"study":[1],"first-order":[2],"logic":[3,33],"over":[4],"unordered":[5],"structures":[6],"whose":[7],"elements":[8],"carry":[9],"a":[10,40,52,94,139],"finite":[11],"number":[12,121],"of":[13,42,51,68,79,105,113,122,132,141,149],"data":[14,123,152],"values":[15,21,124],"from":[16],"an":[17],"infinite":[18],"domain.":[19],"Data":[20],"can":[22],"be":[23],"compared":[24],"wrt.\\":[25],"equality.":[26],"As":[27],"the":[28,49,69,73,84,88,99,106,110,120,130,133,147],"satisfiability":[29,70,107],"problem":[30,71,108],"for":[31,72,109,146,158],"this":[32],"is":[34,57],"undecidable":[35],"in":[36,77],"general,":[37],"we":[38,97,137],"introduce":[39],"family":[41],"local":[43,74,114],"fragments.":[44],"They":[45],"restrict":[46],"quantification":[47],"to":[48,91],"neighbourhood":[50],"given":[53],"reference":[54],"point":[55],"that":[56,143],"bounded":[58],"by":[59,119,126],"some":[60],"radius.":[61],"Our":[62],"first":[63],"main":[64],"result":[65],"establishes":[66],"decidability":[67,101],"radius-1":[75],"fragment":[76],"presence":[78],"one":[80],"\"diagonal":[81],"relation\".":[82],"On":[83],"other":[85],"hand,":[86],"extending":[87],"radius":[89,131],"leads":[90],"undecidability.":[92],"In":[93],"second":[95],"part,":[96],"provide":[98],"precise":[100],"and":[102,129,153],"complexity":[103],"landscape":[104,140],"existential":[111],"fragments":[112],"logic,":[115],"which":[116],"are":[117,144],"parameterized":[118],"carried":[125],"each":[127],"element":[128],"considered":[134],"neighbourhoods.":[135],"Altogether,":[136],"draw":[138],"formalisms":[142],"suitable":[145],"specification":[148],"systems":[150],"with":[151],"open":[154],"up":[155],"new":[156],"avenues":[157],"future":[159],"research.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
