{"id":"https://openalex.org/W2074466497","doi":"https://doi.org/10.1109/sfcs.1983.5","title":"Algebras of feasible functions","display_name":"Algebras of feasible functions","publication_year":1983,"publication_date":"1983-11-01","ids":{"openalex":"https://openalex.org/W2074466497","doi":"https://doi.org/10.1109/sfcs.1983.5","mag":"2074466497"},"language":"en","primary_location":{"id":"doi:10.1109/sfcs.1983.5","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sfcs.1983.5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"24th Annual Symposium on Foundations of Computer Science (sfcs 1983)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2027.42/5236","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065430432","display_name":"Yuri Gurevich","orcid":"https://orcid.org/0000-0001-7808-9293"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yuri Gurevich","raw_affiliation_strings":["Computer and Communication Sciences, University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Computer and Communication Sciences, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065430432"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":3.9978,"has_fulltext":false,"cited_by_count":110,"citation_normalized_percentile":{"value":0.94554048,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"210","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980999827384949,"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":0.9595000147819519,"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":0.9473999738693237,"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/p","display_name":"P","score":0.8838509321212769},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.8524420857429504},{"id":"https://openalex.org/keywords/primitive-recursive-function","display_name":"Primitive recursive function","score":0.6221315860748291},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.562998354434967},{"id":"https://openalex.org/keywords/syntax","display_name":"Syntax","score":0.5595462322235107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4926784634590149},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4835969805717468},{"id":"https://openalex.org/keywords/realm","display_name":"Realm","score":0.46454405784606934},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.46342527866363525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41689562797546387},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.4141295254230499},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33280616998672485},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3134821653366089},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.24892428517341614},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19567438960075378},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14719709753990173}],"concepts":[{"id":"https://openalex.org/C134026603","wikidata":"https://www.wikidata.org/wiki/Q846354","display_name":"P","level":3,"score":0.8838509321212769},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.8524420857429504},{"id":"https://openalex.org/C9986523","wikidata":"https://www.wikidata.org/wiki/Q1570472","display_name":"Primitive recursive function","level":2,"score":0.6221315860748291},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.562998354434967},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.5595462322235107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4926784634590149},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4835969805717468},{"id":"https://openalex.org/C2778757428","wikidata":"https://www.wikidata.org/wiki/Q1250464","display_name":"Realm","level":2,"score":0.46454405784606934},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.46342527866363525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41689562797546387},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.4141295254230499},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33280616998672485},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3134821653366089},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.24892428517341614},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19567438960075378},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14719709753990173},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/sfcs.1983.5","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sfcs.1983.5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"24th Annual Symposium on Foundations of Computer Science (sfcs 1983)","raw_type":"proceedings-article"},{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/5236","is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/5236","pdf_url":"https://hdl.handle.net/2027.42/5236","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":"Technical Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.360.1735","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.360.1735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.microsoft.com/en-us/um/people/gurevich/Opera/51.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/5236","is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/5236","pdf_url":"https://hdl.handle.net/2027.42/5236","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":"Technical Report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2074466497.pdf"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W108460724","https://openalex.org/W1483568252","https://openalex.org/W1569394207","https://openalex.org/W2088094394","https://openalex.org/W2093779107","https://openalex.org/W6604469350"],"related_works":["https://openalex.org/W1996792588","https://openalex.org/W2074941524","https://openalex.org/W2584778959","https://openalex.org/W1596057910","https://openalex.org/W3102439663","https://openalex.org/W2045115070","https://openalex.org/W2167424714","https://openalex.org/W2310420552","https://openalex.org/W2359098868","https://openalex.org/W2074466497"],"abstract_inverted_index":{"What":[0],"happens":[1],"if":[2],"we":[3],"interpret":[4],"the":[5,17],"syntax":[6],"of":[7,20],"primitive":[8,29],"recursive":[9],"functions":[10],"in":[11,16],"finite":[12,42],"domains":[13,43],"rather":[14],"than":[15],"(Platonic)":[18],"realm":[19],"all":[21],"natural":[22],"numbers?":[23],"The":[24],"answer":[25],"is":[26],"somewhat":[27],"surprising:":[28],"recursiveness":[30,36],"coincides":[31,37],"with":[32,38],"LOGSPACE":[33],"computability.":[34],"Analogously,":[35],"PTIME":[39],"computability":[40],"on":[41],"(cf.":[44],"[Sa]).":[45],"Inductive":[46],"definitions":[47],"for":[48],"some":[49],"other":[50],"complexity":[51],"classes":[52],"are":[53],"discussed":[54],"too.":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
