{"id":"https://openalex.org/W2164746242","doi":"https://doi.org/10.1007/978-3-642-04027-6_5","title":"Kleene\u2019s Amazing Second Recursion Theorem","display_name":"Kleene\u2019s Amazing Second Recursion Theorem","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2164746242","doi":"https://doi.org/10.1007/978-3-642-04027-6_5","mag":"2164746242"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04027-6_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04027-6_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034599885","display_name":"Yiannis N. Moschovakis","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["GR","US"],"is_corresponding":true,"raw_author_name":"Yiannis N. Moschovakis","raw_affiliation_strings":["Department of Mathematics, University of Athens, Greece","Department of Mathematics, University of California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034599885"],"corresponding_institution_ids":["https://openalex.org/I161318765","https://openalex.org/I200777214"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18980813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"24","last_page":"39"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.7547866702079773},{"id":"https://openalex.org/keywords/kleenes-recursion-theorem","display_name":"Kleene's recursion theorem","score":0.6961804628372192},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6336557865142822},{"id":"https://openalex.org/keywords/kleene-algebra","display_name":"Kleene algebra","score":0.46660563349723816},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36905521154403687},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3603883683681488},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29531508684158325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.236027330160141},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1689372956752777}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7547866702079773},{"id":"https://openalex.org/C123260079","wikidata":"https://www.wikidata.org/wiki/Q1933521","display_name":"Kleene's recursion theorem","level":2,"score":0.6961804628372192},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6336557865142822},{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.46660563349723816},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36905521154403687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3603883683681488},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29531508684158325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.236027330160141},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1689372956752777}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-04027-6_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04027-6_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W656682580","https://openalex.org/W883393071","https://openalex.org/W1004699284","https://openalex.org/W1483568252","https://openalex.org/W1538838225","https://openalex.org/W1540715591","https://openalex.org/W1555991696","https://openalex.org/W1588094391","https://openalex.org/W1592422591","https://openalex.org/W1973799827","https://openalex.org/W1996932891","https://openalex.org/W1999737391","https://openalex.org/W2005080353","https://openalex.org/W2023778211","https://openalex.org/W2036869460","https://openalex.org/W2045033949","https://openalex.org/W2059933820","https://openalex.org/W2085041816","https://openalex.org/W2085869400","https://openalex.org/W2087443598","https://openalex.org/W2116943326","https://openalex.org/W2117832390","https://openalex.org/W2123139964","https://openalex.org/W2157996049","https://openalex.org/W2161331421","https://openalex.org/W2209400336","https://openalex.org/W2315610131","https://openalex.org/W2320296823","https://openalex.org/W2327051985","https://openalex.org/W2530006810","https://openalex.org/W2576738953","https://openalex.org/W2736186402","https://openalex.org/W2905135108","https://openalex.org/W4210783718","https://openalex.org/W4233662453","https://openalex.org/W4239495391","https://openalex.org/W4253210619","https://openalex.org/W4255199623","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2471495717","https://openalex.org/W1549533980","https://openalex.org/W1007073359","https://openalex.org/W2951618619","https://openalex.org/W2970531535","https://openalex.org/W1565669300","https://openalex.org/W3008933585","https://openalex.org/W4299135116","https://openalex.org/W1858582518","https://openalex.org/W1792667814"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}