{"id":"https://openalex.org/W52948400","doi":"https://doi.org/10.1007/978-3-642-39053-1_6","title":"Beyond Rogers\u2019 Non-constructively Computable Function","display_name":"Beyond Rogers\u2019 Non-constructively Computable Function","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W52948400","doi":"https://doi.org/10.1007/978-3-642-39053-1_6","mag":"52948400"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-39053-1_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39053-1_6","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/A5111850796","display_name":"John Case","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Case","raw_affiliation_strings":["Computer and Information Sciences Department, University of Delaware, Newark, U.S.A","University of Delaware"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer and Information Sciences Department, University of Delaware, Newark, U.S.A","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009991981","display_name":"Michael Ralston","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Ralston","raw_affiliation_strings":["Computer and Information Sciences Department, University of Delaware, Newark, U.S.A","University of Delaware"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer and Information Sciences Department, University of Delaware, Newark, U.S.A","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.02942338,"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":"45","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9771000146865845,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/computability","display_name":"Computability","score":0.8833184242248535},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.7825759649276733},{"id":"https://openalex.org/keywords/computable-analysis","display_name":"Computable analysis","score":0.7675964832305908},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7363637685775757},{"id":"https://openalex.org/keywords/decimal","display_name":"Decimal","score":0.6092966794967651},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5843058824539185},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4608921408653259},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45996126532554626},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.44212931394577026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43189936876296997},{"id":"https://openalex.org/keywords/computable-number","display_name":"Computable number","score":0.4253758490085602},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3888396620750427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3391888439655304},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.27582865953445435},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2721354365348816},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.18176734447479248}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.8833184242248535},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.7825759649276733},{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.7675964832305908},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7363637685775757},{"id":"https://openalex.org/C65045869","wikidata":"https://www.wikidata.org/wiki/Q81365","display_name":"Decimal","level":2,"score":0.6092966794967651},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5843058824539185},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4608921408653259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45996126532554626},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.44212931394577026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43189936876296997},{"id":"https://openalex.org/C156382255","wikidata":"https://www.wikidata.org/wiki/Q818895","display_name":"Computable number","level":4,"score":0.4253758490085602},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3888396620750427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3391888439655304},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.27582865953445435},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2721354365348816},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18176734447479248},{"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/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-39053-1_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-39053-1_6","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":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W245191144","https://openalex.org/W1498102178","https://openalex.org/W1533976297","https://openalex.org/W1571003765","https://openalex.org/W1579083493","https://openalex.org/W1599845971","https://openalex.org/W1963780006","https://openalex.org/W1984820433","https://openalex.org/W2022959407","https://openalex.org/W2117832390","https://openalex.org/W2125495920","https://openalex.org/W2530006810","https://openalex.org/W3181783642","https://openalex.org/W4298207198","https://openalex.org/W6635921759"],"related_works":["https://openalex.org/W2950699437","https://openalex.org/W1480530468","https://openalex.org/W1990125233","https://openalex.org/W98540345","https://openalex.org/W2046021909","https://openalex.org/W2295875602","https://openalex.org/W4238402038","https://openalex.org/W2766473141","https://openalex.org/W1581461478","https://openalex.org/W1533694441"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":11},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}