{"id":"https://openalex.org/W94332457","doi":"https://doi.org/10.1007/3-540-44802-0_12","title":"Semantic Characterisations of Second-Order Computability over the Real Numbers","display_name":"Semantic Characterisations of Second-Order Computability over the Real Numbers","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W94332457","doi":"https://doi.org/10.1007/3-540-44802-0_12","mag":"94332457"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44802-0_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44802-0_12","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/A5002649540","display_name":"Margarita Korovina","orcid":"https://orcid.org/0000-0002-2707-0231"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. V. Korovina","raw_affiliation_strings":["Institute of Informatics Systems, Lavrent\u2019ev pr., 6, Novosibirsk, Russia","Institute of Informatics Systems, Lavrent'ev pr., 6, Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Informatics Systems, Lavrent\u2019ev pr., 6, Novosibirsk, Russia","institution_ids":[]},{"raw_affiliation_string":"Institute of Informatics Systems, Lavrent'ev pr., 6, Novosibirsk, Russia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049744652","display_name":"Oleg Kudinov","orcid":"https://orcid.org/0000-0001-9131-0087"},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"O. V. Kudinov","raw_affiliation_strings":["Institute of Mathematics, Koptug pr., 4, Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Koptug pr., 4, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002649540"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4178,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.61385542,"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":"160","last_page":"172"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9894999861717224,"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/T11567","display_name":"semigroups and automata theory","score":0.9819999933242798,"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/computability","display_name":"Computability","score":0.9475183486938477},{"id":"https://openalex.org/keywords/computable-analysis","display_name":"Computable analysis","score":0.6894879341125488},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6284884214401245},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.567819356918335},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5301034450531006},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5102155208587646},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.502528190612793},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4902389645576477},{"id":"https://openalex.org/keywords/computability-theory","display_name":"Computability theory","score":0.46240857243537903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41313350200653076},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4123764634132385},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3389604091644287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13302722573280334},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05458208918571472}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.9475183486938477},{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.6894879341125488},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6284884214401245},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.567819356918335},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5301034450531006},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5102155208587646},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.502528190612793},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4902389645576477},{"id":"https://openalex.org/C111142201","wikidata":"https://www.wikidata.org/wiki/Q818930","display_name":"Computability theory","level":2,"score":0.46240857243537903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41313350200653076},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4123764634132385},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3389604091644287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13302722573280334},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05458208918571472},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-44802-0_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44802-0_12","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.25.2135","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.2135","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://inet.ssc.nsu.ru/rita/korovina_csl.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W40029885","https://openalex.org/W84901479","https://openalex.org/W172574711","https://openalex.org/W220096824","https://openalex.org/W639292236","https://openalex.org/W1037387862","https://openalex.org/W1457540691","https://openalex.org/W1494791992","https://openalex.org/W1497475168","https://openalex.org/W1509579779","https://openalex.org/W1512259211","https://openalex.org/W1512502927","https://openalex.org/W1539308159","https://openalex.org/W1546826212","https://openalex.org/W1550809037","https://openalex.org/W1566092174","https://openalex.org/W1582269801","https://openalex.org/W1755622287","https://openalex.org/W1965240782","https://openalex.org/W1980091389","https://openalex.org/W2004238969","https://openalex.org/W2006786362","https://openalex.org/W2010839695","https://openalex.org/W2044762117","https://openalex.org/W2071846104","https://openalex.org/W2075490047","https://openalex.org/W2081739551","https://openalex.org/W2084041069","https://openalex.org/W2099482460","https://openalex.org/W2105223068","https://openalex.org/W2115154197","https://openalex.org/W2124181192","https://openalex.org/W2611511037","https://openalex.org/W2913418092","https://openalex.org/W2914212232","https://openalex.org/W3022087221","https://openalex.org/W4243563333","https://openalex.org/W4243711577","https://openalex.org/W4247184275","https://openalex.org/W4251087018","https://openalex.org/W4285719527","https://openalex.org/W4293117209"],"related_works":["https://openalex.org/W3102609132","https://openalex.org/W4225581716","https://openalex.org/W4238402038","https://openalex.org/W4221167692","https://openalex.org/W4376312568","https://openalex.org/W2759753768","https://openalex.org/W1555412307","https://openalex.org/W2088088677","https://openalex.org/W4389946807","https://openalex.org/W4235406669"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}