{"id":"https://openalex.org/W7128626238","doi":"https://doi.org/10.48550/arxiv.2602.09462","title":"Bounded Modal Logic","display_name":"Bounded Modal Logic","publication_year":2026,"publication_date":"2026-02-10","ids":{"openalex":"https://openalex.org/W7128626238","doi":"https://doi.org/10.48550/arxiv.2602.09462"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.09462","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084770828","display_name":"Yuito Murase","orcid":"https://orcid.org/0000-0001-6038-6249"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Murase, Yuito","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5115681023","display_name":"Akinori Maniwa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maniwa, Akinori","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T10126","display_name":"Logic, programming, and type systems","score":0.7448999881744385,"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/T10126","display_name":"Logic, programming, and type systems","score":0.7448999881744385,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.18930000066757202,"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/T10142","display_name":"Formal Methods in Verification","score":0.030700000002980232,"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/modal-logic","display_name":"Modal logic","score":0.7958999872207642},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.758899986743927},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.7513999938964844},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.7329000234603882},{"id":"https://openalex.org/keywords/s5","display_name":"S5","score":0.6890000104904175},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.613099992275238},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.612500011920929},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.5630999803543091},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.5565999746322632}],"concepts":[{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.7958999872207642},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.758899986743927},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.7513999938964844},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.7329000234603882},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.6890000104904175},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.613099992275238},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.612500011920929},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.5630999803543091},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.5565999746322632},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.5171999931335449},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4984999895095825},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4237000048160553},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.39719998836517334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3776000142097473},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36410000920295715},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.36320000886917114},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3522000014781952},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C161913894","wikidata":"https://www.wikidata.org/wiki/Q1077740","display_name":"Kripke structure","level":3,"score":0.33500000834465027},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.325300008058548},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.32420000433921814},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.3084000051021576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3082999885082245},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.30239999294281006},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2980000078678131},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.2800999879837036}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.09462","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.09462","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.09462","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.09462","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Under":[0],"the":[1,4,29,120],"Curry--Howard":[2,108],"isomorphism,":[3],"syntactic":[5],"structure":[6],"of":[7,31,79,119],"programs":[8],"can":[9],"be":[10],"modeled":[11],"using":[12],"birelational":[13],"Kripke":[14,101],"structures":[15],"equipped":[16],"with":[17,106],"intuitionistic":[18,89],"and":[19,54,90,99],"modal":[20,37,47,52,81,91],"relations.":[21],"Intuitionistic":[22],"relations":[23,38],"capture":[24],"scoping":[25],"through":[26],"persistence,":[27],"reflecting":[28],"availability":[30],"resources":[32],"from":[33],"outer":[34],"scopes,":[35],"while":[36],"model":[39],"resource":[40,64,140],"isolation":[41],"introduced":[42],"for":[43,59,87,103,134],"various":[44],"purposes.":[45],"Traditional":[46],"languages,":[48],"however,":[49],"describe":[50],"only":[51],"transitions":[53],"thus":[55],"provide":[56],"limited":[57],"support":[58,133],"expressing":[60],"fine-grained":[61,139],"control":[62,141],"over":[63],"availability.":[65],"Motivated":[66],"by":[67],"this":[68],"limitation,":[69],"we":[70],"introduce":[71],"\\emph{Bounded":[72],"Modal":[73],"Logic":[74],"(\\textbf{BML})},":[75],"an":[76],"experimental":[77],"extension":[78],"constructive":[80],"logic":[82],"whose":[83],"language":[84],"explicitly":[85],"accounts":[86],"both":[88],"transitions.":[92],"We":[93,115],"present":[94],"a":[95,100,107,111,126],"natural-deduction":[96],"proof":[97],"system":[98],"semantics":[102],"\\textbf{BML},":[104],"together":[105],"interpretation":[109],"via":[110],"corresponding":[112],"typed":[113],"lambda-calculus.":[114],"establish":[116],"metatheoretic":[117],"properties":[118],"calculus,":[121],"showing":[122],"that":[123],"\\textbf{BML}":[124],"forms":[125],"well-disciplined":[127],"logical":[128],"system.":[129],"This":[130],"provides":[131],"theoretical":[132],"our":[135],"proposed":[136],"perspective":[137],"on":[138],"in":[142],"programming":[143],"languages.":[144]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-02-12T00:00:00"}
