{"id":"https://openalex.org/W4414570792","doi":"https://doi.org/10.1007/978-3-032-06085-3_3","title":"Bounded Inquisitive Logics: Sequent Calculi and\u00a0Schematic Validity","display_name":"Bounded Inquisitive Logics: Sequent Calculi and\u00a0Schematic Validity","publication_year":2025,"publication_date":"2025-09-25","ids":{"openalex":"https://openalex.org/W4414570792","doi":"https://doi.org/10.1007/978-3-032-06085-3_3"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-06085-3_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_3.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/10.1007/978-3-032-06085-3_3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058807832","display_name":"Tadeusz Litak","orcid":"https://orcid.org/0000-0003-2240-3161"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Tadeusz Litak","raw_affiliation_strings":["University of Naples Federico II, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"University of Naples Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065788231","display_name":"Katsuhiko Sano","orcid":"https://orcid.org/0000-0002-7780-423X"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Katsuhiko Sano","raw_affiliation_strings":["Faculty of Humanities and Human Sciences, Hokkaido University, Sapporo, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Humanities and Human Sciences, Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058807832"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"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":0.4237828,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"39","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","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"}}],"keywords":[{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.8416000008583069},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6431000232696533},{"id":"https://openalex.org/keywords/schematic","display_name":"Schematic","score":0.6140000224113464},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5497000217437744},{"id":"https://openalex.org/keywords/predicate-logic","display_name":"Predicate logic","score":0.46639999747276306},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.4101000130176544},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.391400009393692}],"concepts":[{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.8416000008583069},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6431000232696533},{"id":"https://openalex.org/C192328126","wikidata":"https://www.wikidata.org/wiki/Q4514647","display_name":"Schematic","level":2,"score":0.6140000224113464},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5497000217437744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5422999858856201},{"id":"https://openalex.org/C19689857","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"Predicate logic","level":3,"score":0.46639999747276306},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.4101000130176544},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40630000829696655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39989998936653137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3935000002384186},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.391400009393692},{"id":"https://openalex.org/C159333733","wikidata":"https://www.wikidata.org/wiki/Q7051809","display_name":"Normalization property","level":2,"score":0.38100001215934753},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.3596999943256378},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.35100001096725464},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.335099995136261},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.32109999656677246},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.27639999985694885}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-06085-3_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_3.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"}],"best_oa_location":{"id":"doi:10.1007/978-3-032-06085-3_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_3.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/G3236194794","display_name":null,"funder_award_id":"Grant-in-Aid","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4903474732","display_name":null,"funder_award_id":"19K12113","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8159803307","display_name":"A Semantic Study of the Interpolation Theorem for Intuitionistic Modal Logic","funder_award_id":"25K03537","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414570792.pdf","grobid_xml":"https://content.openalex.org/works/W4414570792.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1483568252","https://openalex.org/W1528233644","https://openalex.org/W1589725381","https://openalex.org/W1968581827","https://openalex.org/W1995718667","https://openalex.org/W2008897582","https://openalex.org/W2016326123","https://openalex.org/W2091657052","https://openalex.org/W2153017713","https://openalex.org/W2171090910","https://openalex.org/W2477965023","https://openalex.org/W2498531142","https://openalex.org/W2526811196","https://openalex.org/W2747538788","https://openalex.org/W3188716551","https://openalex.org/W3202910781","https://openalex.org/W4213111222","https://openalex.org/W4213290992","https://openalex.org/W4249736722","https://openalex.org/W4283393776","https://openalex.org/W4322752097","https://openalex.org/W4388311772","https://openalex.org/W4392513681"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Propositional":[1],"inquisitive":[2,37,88],"logic":[3,89],"is":[4,79,105,130],"the":[5,13,64,75,109],"limit":[6],"of":[7,34,66],"its":[8],"n":[9,35,51],"-bounded":[10,36],"approximations.":[11],"In":[12],"predicate":[14,87],"setting,":[15],"however,":[16,118],"this":[17],"does":[18],"not":[19,131],"hold":[20],"anymore,":[21],"as":[22],"discovered":[23],"by":[24,72],"Ciardelli":[25],"and":[26,103],"Grilletti":[27],"[11],":[28],"who":[29],"also":[30],"found":[31],"complete":[32],"axiomatizations":[33],"logics":[38],"$$\\textsf{InqBQ}_{n}$$":[39],"<mml:math":[40,91],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[41,92],"<mml:msub>":[42],"<mml:mi>InqBQ</mml:mi>":[43,93],"<mml:mi>n</mml:mi>":[44],"</mml:msub>":[45],"</mml:math>":[46,94],",":[47,95],"for":[48,59],"every":[49],"fixed":[50],".":[52],"We":[53,62],"introduce":[54],"cut-free":[55],"labelled":[56],"sequent":[57],"calculi":[58],"these":[60],"logics.":[61],"illustrate":[63],"intricacies":[65],"schematic":[67],"validity":[68],"in":[69,82,101,115],"such":[70],"systems":[71],"showing":[73],"that":[74],"well-known":[76],"Casari":[77],"formula":[78],"atomically":[80],"valid":[81,100,107,124],"(a":[83],"weak":[84],"sublogic":[85],"of)":[86],"$$\\textsf{InqBQ}$$":[90],"fails":[96],"to":[97,121],"be":[98,122],"schematically":[99,106,123],"it,":[102],"yet":[104],"under":[108],"finite":[110],"boundedness":[111],"assumption.":[112],"The":[113],"derivations":[114],"our":[116],"calculi,":[117],"are":[119],"guaranteed":[120],"whenever":[125],"a":[126],"single":[127],"specific":[128],"rule":[129],"used.":[132]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}