{"id":"https://openalex.org/W3176208469","doi":"https://doi.org/10.4230/lipics.fsttcs.2021.36","title":"On Classical Decidable Logics Extended with Percentage Quantifiers and Arithmetics","display_name":"On Classical Decidable Logics Extended with Percentage Quantifiers and Arithmetics","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3176208469","doi":"https://doi.org/10.4230/lipics.fsttcs.2021.36","mag":"3176208469"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:15547","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.36","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.36","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054499021","display_name":"Bartosz Bednarczyk","orcid":"https://orcid.org/0000-0002-8267-7554"},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE","PL"],"is_corresponding":true,"raw_author_name":"Bednarczyk, Bartosz","raw_affiliation_strings":["Computational Logic Group, Technische Universit\u00e4t Dresden, Germany","Institute of Computer Science, University of Wroc\u0142aw, Poland"],"affiliations":[{"raw_affiliation_string":"Computational Logic Group, Technische Universit\u00e4t Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049325637","display_name":"Maja Or\u0142owska","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Or\u0142owska, Maja","raw_affiliation_strings":["Institute of Computer Science, University of Wroc\u0142aw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084995346","display_name":"Anna Pacanowska","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pacanowska, Anna","raw_affiliation_strings":["Institute of Computer Science, University of Wroc\u0142aw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060686021","display_name":"Tony Tan","orcid":"https://orcid.org/0009-0005-8341-2004"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tan, Tony","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054499021"],"corresponding_institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266","https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":0.48027636,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66888454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9976999759674072,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9976999759674072,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.987500011920929,"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":0.9803000092506409,"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":0.8654478788375854},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6510815024375916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5778892636299133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33582842350006104},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33084964752197266}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8654478788375854},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6510815024375916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5778892636299133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33582842350006104},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33084964752197266}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:15547","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.36","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},{"id":"pmh:oai:arXiv.org:2106.15250","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2106.15250","pdf_url":"https://arxiv.org/pdf/2106.15250","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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2106.15250","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2106.15250","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.fsttcs.2021.36","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.fsttcs.2021.36","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:drops-oai.dagstuhl.de:15547","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.36","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"InProceedings"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.46000000834465027,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1549008998","https://openalex.org/W1561247270","https://openalex.org/W1652781893","https://openalex.org/W1964874178","https://openalex.org/W1993151238","https://openalex.org/W2107308446","https://openalex.org/W2294895589","https://openalex.org/W2544425934","https://openalex.org/W2747784335"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2440791454","https://openalex.org/W4297670065","https://openalex.org/W1618267488","https://openalex.org/W1543051890","https://openalex.org/W2611810425","https://openalex.org/W4205250428","https://openalex.org/W1563786920","https://openalex.org/W2056142535"],"abstract_inverted_index":{"During":[0],"the":[1,22,25,29,34,42,45,48,68,87,105,113,123,127,137],"last":[2],"decades,":[3],"a":[4,100],"lot":[5],"of":[6,14,36,47,75,89,136,157],"effort":[7],"was":[8],"put":[9],"into":[10],"identifying":[11],"decidable":[12,92,115],"fragments":[13,61,116],"first-order":[15,60],"logic.":[16],"Such":[17],"efforts":[18],"gave":[19],"birth,":[20],"among":[21],"others,":[23],"to":[24,65,154],"two-variable":[26,138],"fragment":[27,140],"and":[28,56,160],"guarded":[30,139],"fragment,":[31],"depending":[32],"on":[33,39],"type":[35],"restriction":[37],"imposed":[38],"formulae":[40],"from":[41],"language.":[43],"Despite":[44],"success":[46],"mentioned":[49,114],"logics":[50,93],"in":[51,79,104,126],"areas":[52],"like":[53],"formal":[54],"verification":[55],"knowledge":[57],"representation,":[58],"such":[59,120],"are":[62,132],"too":[63],"weak":[64],"express":[66],"even":[67,142],"simplest":[69],"statistical":[70,80],"constraints,":[71],"required":[72],"for":[73],"modelling":[74],"influence":[76],"networks":[77],"or":[78,169],"reasoning.":[81],"In":[82],"this":[83],"work":[84],"we":[85],"investigate":[86],"extensions":[88],"these":[90],"classical":[91],"with":[94,141,167,171],"percentage":[95],"quantifiers,":[96],"specifying":[97],"how":[98],"frequently":[99],"formula":[101],"is":[102],"satisfied":[103],"indented":[106],"model.":[107],"We":[108],"show,":[109],"surprisingly,":[110],"that":[111],"all":[112],"become":[117],"undecidable":[118],"under":[119],"extension,":[121],"sharpening":[122],"existing":[124],"results":[125,131,150],"literature.":[128],"Our":[129,149],"negative":[130],"supplemented":[133],"by":[134],"decidability":[135,156],"more":[143],"expressive":[144,172],"counting,":[145],"namely":[146],"Presburger":[147,164],"constraints.":[148,174],"can":[151],"be":[152],"applied":[153],"infer":[155],"various":[158],"modal":[159],"description":[161],"logics,":[162],"e.g.":[163],"Modal":[165],"Logics":[166],"Converse":[168],"ALCI,":[170],"cardinality":[173]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2021-07-05T00:00:00"}