{"id":"https://openalex.org/W4226219612","doi":"https://doi.org/10.1007/978-3-030-99253-8_16","title":"Modal Logics and Local Quantifiers: A Zoo in the Elementary Hierarchy","display_name":"Modal Logics and Local Quantifiers: A Zoo in the Elementary Hierarchy","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4226219612","doi":"https://doi.org/10.1007/978-3-030-99253-8_16"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-99253-8_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99253-8_16","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99253-8_16.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99253-8_16.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078884064","display_name":"Raul Fervari","orcid":"https://orcid.org/0000-0003-0360-0725"},"institutions":[{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I166401450","display_name":"Universidad Nacional de C\u00f3rdoba","ror":"https://ror.org/056tb7j80","country_code":"AR","type":"education","lineage":["https://openalex.org/I166401450"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Raul Fervari","raw_affiliation_strings":["CONICET and Universidad Nacional de C\u00f3rdoba, C\u00f3rdoba, Argentina"],"affiliations":[{"raw_affiliation_string":"CONICET and Universidad Nacional de C\u00f3rdoba, C\u00f3rdoba, Argentina","institution_ids":["https://openalex.org/I166401450","https://openalex.org/I151201029"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037329416","display_name":"Alessio Mansutti","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alessio Mansutti","raw_affiliation_strings":["Department of Computer Science, University of Oxford, Parks Rd, Oxford, OX1 3QD, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Parks Rd, Oxford, OX1 3QD, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037329416"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09885656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"305","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9955000281333923,"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":0.9937000274658203,"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/algorithm","display_name":"Algorithm","score":0.6332603096961975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48440414667129517},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4450089633464813},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.3372374176979065}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6332603096961975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48440414667129517},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4450089633464813},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.3372374176979065}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-99253-8_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99253-8_16","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99253-8_16.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:a56b0681-61cd-4a13-8f0c-1759ed214753","is_oa":true,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:a56b0681-61cd-4a13-8f0c-1759ed214753","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"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":"Symplectic Elements","raw_type":"Conference item"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-99253-8_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-99253-8_16","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-030-99253-8_16.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4359570771","display_name":null,"funder_award_id":"PIP 112","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"}],"funders":[{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226219612.pdf","grobid_xml":"https://content.openalex.org/works/W4226219612.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1545252802","https://openalex.org/W1678486145","https://openalex.org/W1689987508","https://openalex.org/W1980738498","https://openalex.org/W1991981864","https://openalex.org/W2003227046","https://openalex.org/W2007901899","https://openalex.org/W2021500450","https://openalex.org/W2049069994","https://openalex.org/W2068458083","https://openalex.org/W2074944668","https://openalex.org/W2080461902","https://openalex.org/W2153871866","https://openalex.org/W2162583406","https://openalex.org/W2167608641","https://openalex.org/W2285760602","https://openalex.org/W2752971683","https://openalex.org/W2964051209","https://openalex.org/W2966380268","https://openalex.org/W2996220552","https://openalex.org/W3031017737","https://openalex.org/W3147202860","https://openalex.org/W4239399053","https://openalex.org/W4241108585","https://openalex.org/W4255551208","https://openalex.org/W6606633422"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"Abstract":[0],"We":[1,47],"study":[2],"a":[3,49,52],"family":[4],"of":[5,94],"modal":[6,83,189],"logics":[7,69],"interpreted":[8],"on":[9,102],"tree-like":[10],"structures,":[11],"and":[12,51,81],"featuring":[13],"local":[14],"quantifiers":[15],"$$\\exists":[16],"^{k}p$$":[17],"<mml:math":[18,73,123,154],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[19,74,124,155],"<mml:mrow>":[20,75,125,156,164,176],"<mml:msup>":[21],"<mml:mo>\u2203</mml:mo>":[22],"<mml:mi>k</mml:mi>":[23],"</mml:msup>":[24],"<mml:mi>p</mml:mi>":[25],"</mml:mrow>":[26,79,141,166,178,182],"</mml:math>":[27,80,142,183],"that":[28,35],"bind":[29],"the":[30,39,56,113,144,193],"proposition":[31],"p":[32],"to":[33,61],"worlds":[34],"are":[36],"accessible":[37],"from":[38],"current":[40],"one":[41,197],"in":[42],"at":[43],"most":[44],"k":[45,191],"steps.":[46],"consider":[48],"first-order":[50],"second-order":[53,106],"semantics":[54,107],"for":[55],"quantifiers,":[57],"which":[58],"enables":[59],"us":[60],"relate":[62],"several":[63],"well-known":[64],"formalisms,":[65],"such":[66],"as":[67],"hybrid":[68],",":[70,184,192],"$$\\textsf":[71],"{S5Q}$$":[72],"<mml:mi>S</mml:mi>":[76],"<mml:mn>5</mml:mn>":[77],"<mml:mi>Q</mml:mi>":[78],"graded":[82],"logic":[84],".":[85],"To":[86],"better":[87],"stress":[88],"these":[89,110],"connections,":[90],"we":[91],"explore":[92],"fragments":[93,111],"our":[95],"logics,":[96],"called":[97],"herein":[98],"round-bounded":[99],"fragments.":[100],"Depending":[101],"whether":[103],"first":[104],"or":[105,143],"is":[108],"considered,":[109],"populate":[112],"hierarchy":[114,145],"$${2\\textsc":[115,146],"{NExp}":[116,119],"\\subset":[117,120,148,151],"3\\textsc":[118,149],"\\cdots":[121,152],"}$$":[122,153],"<mml:mn>2</mml:mn>":[126,157],"<mml:mi>NE</mml:mi>":[127,134],"<mml:mstyle>":[128,135,160,172],"<mml:mi>X</mml:mi>":[129,136,161,173],"<mml:mi>P</mml:mi>":[130,137,162,174],"</mml:mstyle>":[131,138,163,175],"<mml:mo>\u2282</mml:mo>":[132,139,168,180],"<mml:mn>3</mml:mn>":[133,169],"<mml:mo>\u22ef</mml:mo>":[140,181],"{AExp}_{pol}":[147,150],"<mml:mi>AE</mml:mi>":[158,170],"<mml:msub>":[159,171],"<mml:mi>pol</mml:mi>":[165,177],"</mml:msub>":[167,179],"respectively.":[185],"For":[186],"formulae":[187],"up-to":[188],"depth":[190],"complexity":[194],"improves":[195],"by":[196],"exponential.":[198]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
