{"id":"https://openalex.org/W1842425231","doi":"https://doi.org/10.1007/978-3-540-88594-8_3","title":"The Relational Polynomial-Time Hierarchy and Second-Order Logic","display_name":"The Relational Polynomial-Time Hierarchy and Second-Order Logic","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1842425231","doi":"https://doi.org/10.1007/978-3-540-88594-8_3","mag":"1842425231"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-88594-8_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-88594-8_3","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/A5035972346","display_name":"Flavio Ferrarotti","orcid":"https://orcid.org/0000-0003-2278-8233"},"institutions":[{"id":"https://openalex.org/I51158804","display_name":"Massey University","ror":"https://ror.org/052czxv31","country_code":"NZ","type":"education","lineage":["https://openalex.org/I51158804"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Flavio A. Ferrarotti","raw_affiliation_strings":["Information Systems, Department of Management College of Business, Massey University, New Zealand"],"affiliations":[{"raw_affiliation_string":"Information Systems, Department of Management College of Business, Massey University, New Zealand","institution_ids":["https://openalex.org/I51158804"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108684942","display_name":"Jos\u00e9 Mar\u00eda Turull Torres","orcid":null},"institutions":[{"id":"https://openalex.org/I51158804","display_name":"Massey University","ror":"https://ror.org/052czxv31","country_code":"NZ","type":"education","lineage":["https://openalex.org/I51158804"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 M. Turull Torres","raw_affiliation_strings":["School of Engineering and Advanced Technology College of Sciences, Massey University, PO Box 756, Wellington, New Zealand"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Advanced Technology College of Sciences, Massey University, PO Box 756, Wellington, New Zealand","institution_ids":["https://openalex.org/I51158804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035972346"],"corresponding_institution_ids":["https://openalex.org/I51158804"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5577,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.68205761,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"48","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9983999729156494,"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":0.9983999729156494,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9972000122070312,"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/computer-science","display_name":"Computer science","score":0.7589856386184692},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6087678074836731},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5096116065979004},{"id":"https://openalex.org/keywords/second-order-logic","display_name":"Second-order logic","score":0.4785245656967163},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4470604360103607},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4385247826576233},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42734652757644653},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.41563642024993896},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3171321153640747},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.22628650069236755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22509008646011353},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19505897164344788},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.16664212942123413}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7589856386184692},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6087678074836731},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5096116065979004},{"id":"https://openalex.org/C144791301","wikidata":"https://www.wikidata.org/wiki/Q1548746","display_name":"Second-order logic","level":4,"score":0.4785245656967163},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4470604360103607},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4385247826576233},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42734652757644653},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.41563642024993896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3171321153640747},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.22628650069236755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22509008646011353},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19505897164344788},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.16664212942123413},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-88594-8_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-88594-8_3","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":"Peace, Justice and strong institutions","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W51516856","https://openalex.org/W126976627","https://openalex.org/W149380172","https://openalex.org/W1482193060","https://openalex.org/W1489366126","https://openalex.org/W1558832481","https://openalex.org/W1569165539","https://openalex.org/W1929994216","https://openalex.org/W1974959615","https://openalex.org/W1980103601","https://openalex.org/W1984930242","https://openalex.org/W2002748825","https://openalex.org/W2016554463","https://openalex.org/W2037071126","https://openalex.org/W2059148270","https://openalex.org/W2063406522","https://openalex.org/W2065251436","https://openalex.org/W2069462712","https://openalex.org/W2082914262","https://openalex.org/W2128260132","https://openalex.org/W2147543331","https://openalex.org/W2158542561","https://openalex.org/W2161609549","https://openalex.org/W4206031975","https://openalex.org/W4251852318"],"related_works":["https://openalex.org/W4387318785","https://openalex.org/W1493788057","https://openalex.org/W1774334694","https://openalex.org/W115510980","https://openalex.org/W3101683417","https://openalex.org/W2142816242","https://openalex.org/W141998938","https://openalex.org/W4255026600","https://openalex.org/W1580672106","https://openalex.org/W1981373951"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}