{"id":"https://openalex.org/W4408508660","doi":"https://doi.org/10.46298/lmcs-21(1:25)2025","title":"Alternating Quantifiers in Uniform One-Dimensional Fragments with an Excursion into Three-Variable Logic","display_name":"Alternating Quantifiers in Uniform One-Dimensional Fragments with an Excursion into Three-Variable Logic","publication_year":2025,"publication_date":"2025-03-17","ids":{"openalex":"https://openalex.org/W4408508660","doi":"https://doi.org/10.46298/lmcs-21(1:25)2025"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-21(1:25)2025","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-21(1:25)2025","pdf_url":"https://lmcs.episciences.org/15387/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/15387/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085359233","display_name":"Oskar Fiuk","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Oskar Fiuk","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5090488658","display_name":"Emanuel Kiero\u0144ski","orcid":"https://orcid.org/0000-0002-8538-8221"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Emanuel Kieronski","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085359233"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06804649,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 21, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.7121999859809875,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.7121999859809875,"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/T11567","display_name":"semigroups and automata theory","score":0.6488999724388123,"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/excursion","display_name":"Excursion","score":0.8454651832580566},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5737171173095703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4748402237892151},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43872368335723877},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34569090604782104},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3419747054576874},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3321959674358368},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21978789567947388},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1074511706829071}],"concepts":[{"id":"https://openalex.org/C2780550144","wikidata":"https://www.wikidata.org/wiki/Q1156976","display_name":"Excursion","level":2,"score":0.8454651832580566},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5737171173095703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4748402237892151},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43872368335723877},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34569090604782104},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3419747054576874},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3321959674358368},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21978789567947388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1074511706829071},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.46298/lmcs-21(1:25)2025","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-21(1:25)2025","pdf_url":"https://lmcs.episciences.org/15387/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:doaj.org/article:35193911b2284ee9b61791bfb8d1d48c","is_oa":true,"landing_page_url":"https://doaj.org/article/35193911b2284ee9b61791bfb8d1d48c","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 21, Issue 1 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-21(1:25)2025","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-21(1:25)2025","pdf_url":"https://lmcs.episciences.org/15387/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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408508660.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1971411732","https://openalex.org/W2362407587","https://openalex.org/W4401579034","https://openalex.org/W3167953481","https://openalex.org/W4205248644","https://openalex.org/W3097042218","https://openalex.org/W4252469072","https://openalex.org/W1486720777","https://openalex.org/W4405312651","https://openalex.org/W2323144091"],"abstract_inverted_index":{"The":[0],"uniform":[1],"one-dimensional":[2],"fragment":[3,19,134],"of":[4,16,24,41,46,56,60,73,80,92,111,131],"first-order":[5],"logic":[6,32],"was":[7],"introduced":[8],"a":[9,14,128],"few":[10],"years":[11],"ago":[12],"as":[13],"generalization":[15],"the":[17,54,66,74,81,85,101,105,109,124,132,140],"two-variable":[18],"to":[20,113,127],"contexts":[21],"involving":[22],"relations":[23],"arity":[25],"greater":[26],"than":[27],"two.":[28],"Quantifiers":[29],"in":[30,35,62,84,104,115],"this":[31,50],"are":[33],"used":[34],"blocks,":[36],"each":[37],"block":[38,91],"consisting":[39],"only":[40,45],"existential":[42,102],"quantifiers":[43,61,93],"or":[44,98],"universal":[47,97],"quantifiers.":[48],"In":[49],"paper":[51],"we":[52,87,107],"consider":[53],"possibility":[55],"mixing":[57],"both":[58,116],"types":[59],"blocks.":[63],"We":[64,121],"show":[65],"finite":[67,141],"(exponential)":[68],"model":[69,142],"property":[70,143],"and":[71,144],"NExpTime-completeness":[72],"satisfiability":[75],"problem":[76],"for":[77],"two":[78],"restrictions":[79],"resulting":[82],"formalism:":[83],"first":[86],"require":[88],"that":[89,137],"every":[90],"is":[94,118],"either":[95],"purely":[96],"ends":[99],"with":[100,154],"quantifier,":[103],"second":[106,125],"restrict":[108],"number":[110],"variables":[112],"three;":[114],"equality":[117],"not":[119],"allowed.":[120],"also":[122],"extend":[123],"variation":[126],"rich":[129],"subfragment":[130],"three-variable":[133],"(without":[135],"equality)":[136],"still":[138],"has":[139],"decidable,":[145],"NExpTime-complete":[146],"satisfiability.":[147],"Comment:":[148],"arXiv":[149],"admin":[150],"note:":[151],"text":[152],"overlap":[153],"arXiv:2310.00994":[155]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
