{"id":"https://openalex.org/W4281862103","doi":"https://doi.org/10.1145/3531130.3533370","title":"Concrete categories and higher-order recursion","display_name":"Concrete categories and higher-order recursion","publication_year":2022,"publication_date":"2022-08-02","ids":{"openalex":"https://openalex.org/W4281862103","doi":"https://doi.org/10.1145/3531130.3533370"},"language":"en","primary_location":{"id":"doi:10.1145/3531130.3533370","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3531130.3533370","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2205.15917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086036411","display_name":"Cristina Matache","orcid":"https://orcid.org/0009-0003-6036-6426"},"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":"Cristina Matache","raw_affiliation_strings":["University of Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033995077","display_name":"Sean Moss","orcid":"https://orcid.org/0009-0005-3930-5340"},"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":false,"raw_author_name":"Sean Moss","raw_affiliation_strings":["University of Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068183682","display_name":"Sam Staton","orcid":"https://orcid.org/0000-0002-7149-3805"},"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":false,"raw_author_name":"Sam Staton","raw_affiliation_strings":["University of Oxford, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086036411"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.276,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61339597,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T10126","display_name":"Logic, programming, and type systems","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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991000294685364,"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":0.9948999881744385,"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/sheaf","display_name":"Sheaf","score":0.8075301647186279},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.8036456108093262},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6817559003829956},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5925809144973755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5759050250053406},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5697238445281982},{"id":"https://openalex.org/keywords/monad","display_name":"Monad (category theory)","score":0.5641613006591797},{"id":"https://openalex.org/keywords/principle-of-compositionality","display_name":"Principle of compositionality","score":0.5159779191017151},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4547509551048279},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4393012225627899},{"id":"https://openalex.org/keywords/topos-theory","display_name":"Topos theory","score":0.4384475350379944},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.41882458329200745},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4049570858478546},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34149158000946045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3076659142971039},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2461639940738678},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2022603154182434},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.07965782284736633},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0773085355758667}],"concepts":[{"id":"https://openalex.org/C4017995","wikidata":"https://www.wikidata.org/wiki/Q595298","display_name":"Sheaf","level":2,"score":0.8075301647186279},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.8036456108093262},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6817559003829956},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5925809144973755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5759050250053406},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5697238445281982},{"id":"https://openalex.org/C33959348","wikidata":"https://www.wikidata.org/wiki/Q1630568","display_name":"Monad (category theory)","level":3,"score":0.5641613006591797},{"id":"https://openalex.org/C121375916","wikidata":"https://www.wikidata.org/wiki/Q936559","display_name":"Principle of compositionality","level":2,"score":0.5159779191017151},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4547509551048279},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4393012225627899},{"id":"https://openalex.org/C182141236","wikidata":"https://www.wikidata.org/wiki/Q2143621","display_name":"Topos theory","level":2,"score":0.4384475350379944},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.41882458329200745},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4049570858478546},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34149158000946045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3076659142971039},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2461639940738678},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2022603154182434},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.07965782284736633},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0773085355758667},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3531130.3533370","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3531130.3533370","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2205.15917","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.15917","pdf_url":"https://arxiv.org/pdf/2205.15917","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":null,"raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:ebdea5d1-8cb5-4225-a6e3-c196f69d27c0","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:ebdea5d1-8cb5-4225-a6e3-c196f69d27c0","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Conference item"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2205.15917","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2205.15917","pdf_url":"https://arxiv.org/pdf/2205.15917","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1511668635","https://openalex.org/W1532092775","https://openalex.org/W1533556529","https://openalex.org/W1594900487","https://openalex.org/W1679875858","https://openalex.org/W1965557765","https://openalex.org/W1983016533","https://openalex.org/W1997143185","https://openalex.org/W2024189573","https://openalex.org/W2045614673","https://openalex.org/W2094537092","https://openalex.org/W2094544397","https://openalex.org/W2103277171","https://openalex.org/W2110624984","https://openalex.org/W2165446401","https://openalex.org/W2767781532","https://openalex.org/W2770908033","https://openalex.org/W2799180001","https://openalex.org/W2949151551","https://openalex.org/W2952230935","https://openalex.org/W2976069993","https://openalex.org/W2977408235","https://openalex.org/W2994785018","https://openalex.org/W2994797498","https://openalex.org/W3021448353","https://openalex.org/W3023853936","https://openalex.org/W3121748841","https://openalex.org/W3122093772","https://openalex.org/W3123279312","https://openalex.org/W3124655276","https://openalex.org/W3148154580","https://openalex.org/W3171292371","https://openalex.org/W3182369688","https://openalex.org/W3194609232","https://openalex.org/W4210797838","https://openalex.org/W4211080362","https://openalex.org/W4233109391","https://openalex.org/W4235981942","https://openalex.org/W4245071229"],"related_works":["https://openalex.org/W2151448345","https://openalex.org/W14582567","https://openalex.org/W4388322088","https://openalex.org/W1994467436","https://openalex.org/W4302612925","https://openalex.org/W2950890655","https://openalex.org/W1996984776","https://openalex.org/W3094043897","https://openalex.org/W4214608545","https://openalex.org/W2013260261"],"abstract_inverted_index":{"We":[0,40,50],"study":[1],"concrete":[2,85],"sheaf":[3,15,71],"models":[4,16,28,81],"for":[5,29,92],"a":[6,18,52,56,61,78,84,88,96],"call-by-value":[7],"higher-order":[8],"language":[9],"with":[10],"recursion.":[11],"Our":[12],"family":[13,79],"of":[14,20,46,55,63,69,80,90],"is":[17],"generalization":[19],"many":[21],"examples":[22],"from":[23,60],"the":[24,44,67,70],"literature,":[25],"such":[26],"as":[27],"probabilistic":[30],"and":[31,34,87],"differentiable":[32],"programming,":[33],"fully":[35],"abstract":[36],"logical":[37],"relations":[38],"models.":[39],"treat":[41],"recursion":[42],"in":[43,66],"spirit":[45],"synthetic":[47],"domain":[48],"theory.":[49],"provide":[51],"general":[53,97],"construction":[54],"lifting":[57],"monad":[58],"starting":[59],"class":[62,89],"admissible":[64],"monomorphisms":[65],"site":[68,86],"category.":[72],"In":[73],"this":[74],"way,":[75],"we":[76,94],"obtain":[77],"parametrized":[82],"by":[83],"monomorphisms,":[91],"which":[93],"prove":[95],"computational":[98],"adequacy":[99],"theorem.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2022-06-13T00:00:00"}