{"id":"https://openalex.org/W2026379854","doi":"https://doi.org/10.4204/eptcs.54.8","title":"Type Inference for Bimorphic Recursion","display_name":"Type Inference for Bimorphic Recursion","publication_year":2011,"publication_date":"2011-06-04","ids":{"openalex":"https://openalex.org/W2026379854","doi":"https://doi.org/10.4204/eptcs.54.8","mag":"2026379854"},"language":"en","primary_location":{"id":"doi:10.4204/eptcs.54.8","is_oa":true,"landing_page_url":"https://doi.org/10.4204/eptcs.54.8","pdf_url":"https://arxiv.org/pdf/1106.1234","source":{"id":"https://openalex.org/S4210216316","display_name":"Electronic Proceedings in Theoretical Computer Science","issn_l":"2075-2180","issn":["2075-2180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310318029","host_organization_name":"Open Publishing Association","host_organization_lineage":["https://openalex.org/P4310318029"],"host_organization_lineage_names":["Open Publishing Association"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Proceedings in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://arxiv.org/pdf/1106.1234","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024163301","display_name":"Makoto Tatsuta","orcid":null},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Makoto Tatsuta","raw_affiliation_strings":["National Institute of Informatics","National Institute of Informatics,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Informatics","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"National Institute of Informatics,","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065182304","display_name":"Ferruccio Damiani","orcid":"https://orcid.org/0000-0001-8109-1706"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ferruccio Damiani","raw_affiliation_strings":["Universita di Torino"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universita di Torino","institution_ids":["https://openalex.org/I55143463"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09494928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":null,"first_page":"102","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T10260","display_name":"Software Engineering Research","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9818999767303467,"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/recursion","display_name":"Recursion (computer science)","score":0.8806467056274414},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.7782924175262451},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.658592700958252},{"id":"https://openalex.org/keywords/double-recursion","display_name":"Double recursion","score":0.6390262246131897},{"id":"https://openalex.org/keywords/type-inference","display_name":"Type inference","score":0.6086111068725586},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5070383548736572},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4984753131866455},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4978361129760742},{"id":"https://openalex.org/keywords/mutual-recursion","display_name":"Mutual recursion","score":0.4879681468009949},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.46879467368125916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4356677532196045},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39959999918937683},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3636210858821869},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2993733882904053},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06534522771835327}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.8806467056274414},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.7782924175262451},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.658592700958252},{"id":"https://openalex.org/C139503435","wikidata":"https://www.wikidata.org/wiki/Q5300083","display_name":"Double recursion","level":3,"score":0.6390262246131897},{"id":"https://openalex.org/C198370458","wikidata":"https://www.wikidata.org/wiki/Q586459","display_name":"Type inference","level":3,"score":0.6086111068725586},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5070383548736572},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4984753131866455},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4978361129760742},{"id":"https://openalex.org/C124416688","wikidata":"https://www.wikidata.org/wiki/Q3454656","display_name":"Mutual recursion","level":3,"score":0.4879681468009949},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.46879467368125916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4356677532196045},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39959999918937683},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3636210858821869},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2993733882904053},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06534522771835327},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.4204/eptcs.54.8","is_oa":true,"landing_page_url":"https://doi.org/10.4204/eptcs.54.8","pdf_url":"https://arxiv.org/pdf/1106.1234","source":{"id":"https://openalex.org/S4210216316","display_name":"Electronic Proceedings in Theoretical Computer Science","issn_l":"2075-2180","issn":["2075-2180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310318029","host_organization_name":"Open Publishing Association","host_organization_lineage":["https://openalex.org/P4310318029"],"host_organization_lineage_names":["Open Publishing Association"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Proceedings in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1106.1234","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.1234","pdf_url":"https://arxiv.org/pdf/1106.1234","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:CiteSeerX.psu:10.1.1.754.3408","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.3408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1106.1234.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:5ca9a8e1a35f4ab9bd34ff573f138323","is_oa":true,"landing_page_url":"https://doaj.org/article/5ca9a8e1a35f4ab9bd34ff573f138323","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Proceedings in Theoretical Computer Science, Vol 54, Iss Proc. GandALF 2011, Pp 102-115 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.4204/eptcs.54.8","is_oa":true,"landing_page_url":"https://doi.org/10.4204/eptcs.54.8","pdf_url":"https://arxiv.org/pdf/1106.1234","source":{"id":"https://openalex.org/S4210216316","display_name":"Electronic Proceedings in Theoretical Computer Science","issn_l":"2075-2180","issn":["2075-2180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310318029","host_organization_name":"Open Publishing Association","host_organization_lineage":["https://openalex.org/P4310318029"],"host_organization_lineage_names":["Open Publishing Association"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Proceedings in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2026379854.pdf","grobid_xml":"https://content.openalex.org/works/W2026379854.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1481489425","https://openalex.org/W1494407580","https://openalex.org/W1555543276","https://openalex.org/W1607783099","https://openalex.org/W1754134429","https://openalex.org/W1963705166","https://openalex.org/W1964952791","https://openalex.org/W2016076634","https://openalex.org/W2101722211","https://openalex.org/W2136741021","https://openalex.org/W2143777056","https://openalex.org/W2163976959","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2972379433","https://openalex.org/W1501430220","https://openalex.org/W2989332944","https://openalex.org/W2021891065","https://openalex.org/W2583549044","https://openalex.org/W2119045600","https://openalex.org/W2584984136","https://openalex.org/W2170336571","https://openalex.org/W2962928105","https://openalex.org/W2020140696"],"abstract_inverted_index":{"This":[0,64,89],"paper":[1,60,65,90],"proposes":[2],"bimorphic":[3,67,77,111],"recursion,":[4],"which":[5],"is":[6,41,49],"restricted":[7],"polymorphic":[8],"recursion":[9,27,57,68,78,84],"such":[10],"that":[11,93],"every":[12],"recursive":[13,44],"call":[14],"in":[15,58],"the":[16,23,47,106,110],"body":[17],"of":[18,99,101],"a":[19,36],"function":[20],"definition":[21],"has":[22,69],"same":[24],"type.":[25],"Bimorphic":[26,56],"allows":[28],"us":[29,80],"to":[30,35],"assign":[31],"two":[32],"different":[33],"types":[34,71],"recursively":[37],"defined":[38],"function:":[39],"one":[40,104],"for":[42,50,83],"its":[43,51,54,94],"calls":[45,52],"and":[46,72],"other":[48],"outside":[53],"definition.":[55],"this":[59],"can":[61],"be":[62],"nested.":[63],"shows":[66,92],"principal":[70],"decidable":[73,86],"type":[74,87],"inference.":[75,88],"Hence":[76],"gives":[79],"flexible":[81],"typing":[82],"with":[85],"also":[91],"typability":[95],"becomes":[96],"undecidable":[97],"because":[98],"nesting":[100],"recursions":[102],"when":[103],"removes":[105],"instantiation":[107],"property":[108],"from":[109],"recursion.":[112]},"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}
