{"id":"https://openalex.org/W7225804293","doi":"https://doi.org/10.5281/zenodo.24122159","title":"The Care Calculus: A Mechanized Linear Type Theory for Safe Agents","display_name":"The Care Calculus: A Mechanized Linear Type Theory for Safe Agents","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W7225804293","doi":"https://doi.org/10.5281/zenodo.24122159"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24122159","doi":"https://doi.org/10.5281/zenodo.24122159","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24122159","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24122159","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152577362","display_name":"Jaye Timothy Marshall","orcid":"https://orcid.org/0009-0002-5209-8161","observed_orcids":["https://orcid.org/0009-0002-5209-8161"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jaye Timothy Marshall","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0002-5209-8161","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5152577362"],"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":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.0015999999595806003,"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":0.00139999995008111,"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":[],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8082000017166138},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.7099000215530396},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6541000008583069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5622000098228455},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5008000135421753},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.484499990940094},{"id":"https://openalex.org/C144701195","wikidata":"https://www.wikidata.org/wiki/Q10859910","display_name":"Theory","level":2,"score":0.38830000162124634},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.38019999861717224},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.37709999084472656},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.3714999854564667},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35109999775886536},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.33550000190734863},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.33169999718666077},{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.313400000333786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3116999864578247},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.30550000071525574},{"id":"https://openalex.org/C199521495","wikidata":"https://www.wikidata.org/wiki/Q181487","display_name":"Audit","level":2,"score":0.30070000886917114},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C2781451568","wikidata":"https://www.wikidata.org/wiki/Q16965475","display_name":"Stipulation","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.289000004529953},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.2623000144958496},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C2779010991","wikidata":"https://www.wikidata.org/wiki/Q2720909","display_name":"Artifact (error)","level":2,"score":0.25589999556541443},{"id":"https://openalex.org/C77170095","wikidata":"https://www.wikidata.org/wiki/Q1753188","display_name":"Linearity","level":2,"score":0.2533999979496002},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.2522999942302704}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24122159","doi":"https://doi.org/10.5281/zenodo.24122159","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24122159","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24122160","doi":"https://doi.org/10.5281/zenodo.24122160","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24122160","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24122159","doi":"https://doi.org/10.5281/zenodo.24122159","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24122159","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W7214221619","https://openalex.org/W7219908988","https://openalex.org/W7225035537","https://openalex.org/W7225254131","https://openalex.org/W7225314117","https://openalex.org/W7225385149"],"related_works":[],"abstract_inverted_index":{"We":[0,41],"present":[1],"the":[2,22,29,43,50,60,82,91,98,106,110,131,136,148,154,161,171,174,179,185],"Care":[3],"Calculus:":[4],"a":[5,32,62,68,71,94],"multi-sorted":[6],"linear":[7],"logic":[8],"with":[9,125],"coalgebraic":[10],"generators,":[11],"guarded":[12],"recursion,":[13],"and":[14,53,70,103,105,109,143,147,178,184],"resource-linear":[15],"destructors.":[16],"While":[17],"initially":[18],"developed":[19],"to":[20],"model":[21],"derivation":[23,63,72],"of":[24,59,64,73,133,190],"care":[25,137],"in":[26,45],"self-referential":[27],"systems,":[28],"calculus":[30,44],"provides":[31],"general":[33],"framework":[34],"for":[35],"all":[36],"unitary,":[37],"non-duplicable":[38],"resource":[39],"flows.":[40],"mechanize":[42],"Lean":[46,84],"4,":[47],"proving":[48],"that":[49],"No-Cloning":[51],"theorem":[52,150],"Unitarity":[54],"emerge":[55],"as":[56,122],"structural":[57],"theorems":[58],"grammar:":[61],"contraction":[65],"would":[66,75],"be":[67,76],"cloner,":[69],"vanishing":[74],"an":[77],"eraser.":[78],"The":[79,114,166],"artifact":[80],"contains":[81],"complete":[83],"4":[85],"development":[86],"(Lean":[87],"4.35.0,":[88],"no":[89],"Mathlib):":[90],"library":[92],"Dcare,":[93],"per-theorem":[95],"axiom":[96],"audit,":[97],"two":[99,115],"build":[100],"gates":[101],"(build":[102],"disclosure,":[104],"paper-anchor":[107],"check),":[108],"paper's":[111,167],"markdown":[112],"source.":[113],"unrestricted":[116],"classical":[117],"linearity":[118],"statements":[119],"are":[120,182],"carried":[121],"named":[123],"conjectures":[124],"five":[126],"proven":[127],"fragment":[128],"strengths":[129],"each,":[130],"deepest":[132],"which":[134],"integrate":[135],"machinery;":[138],"axioms":[139],"beyond":[140],"propext,":[141],"Classical.choice":[142],"Quot.sound":[144],"appear":[145],"nowhere,":[146],"one":[149],"asserting":[151],"independence":[152],"from":[153],"withheld":[155],"constructive":[156,180],"companion":[157,186],"is":[158,187],"enforced":[159],"by":[160],"audit":[162],"rather":[163],"than":[164],"claimed.":[165],"section":[168],"16":[169],"states":[170],"tiered":[172],"disclosure:":[173],"concrete":[175],"constraint-type":[176],"assignment":[177],"instantiation":[181],"withheld,":[183],"not":[188],"part":[189],"this":[191],"deposit.":[192]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}