{"id":"https://openalex.org/W1887853148","doi":"https://doi.org/10.1007/11663881_7","title":"Arity and Alternation: A Proper Hierarchy in Higher Order Logics","display_name":"Arity and Alternation: A Proper Hierarchy in Higher Order Logics","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1887853148","doi":"https://doi.org/10.1007/11663881_7","mag":"1887853148"},"language":"en","primary_location":{"id":"doi:10.1007/11663881_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11663881_7","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 Science Research Centre, Department of Information Systems, Massey University, P.O. Box 756, Wellington, New Zealand","Information Science Research Centre, Department of Information Systems, Massey University, Wellington, New Zealand"],"affiliations":[{"raw_affiliation_string":"Information Science Research Centre, Department of Information Systems, Massey University, P.O. Box 756, Wellington, New Zealand","institution_ids":["https://openalex.org/I51158804"]},{"raw_affiliation_string":"Information Science Research Centre, Department of Information Systems, Massey University, Wellington, 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":["Information Science Research Centre, Department of Information Systems, Massey University, P.O. Box 756, Wellington, New Zealand","Information Science Research Centre, Department of Information Systems, Massey University, Wellington, New Zealand"],"affiliations":[{"raw_affiliation_string":"Information Science Research Centre, Department of Information Systems, Massey University, P.O. Box 756, Wellington, New Zealand","institution_ids":["https://openalex.org/I51158804"]},{"raw_affiliation_string":"Information Science Research Centre, Department of Information Systems, Massey University, 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":0.8318,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74588978,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"92","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9995999932289124,"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":0.9987000226974487,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9975000023841858,"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/arity","display_name":"Arity","score":0.9869792461395264},{"id":"https://openalex.org/keywords/alternation","display_name":"Alternation (linguistics)","score":0.7316924333572388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6540611982345581},{"id":"https://openalex.org/keywords/second-order-logic","display_name":"Second-order logic","score":0.5483759045600891},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5349463224411011},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.48929259181022644},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4714447259902954},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47094759345054626},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33268675208091736},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27906250953674316},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18619877099990845},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.16473141312599182},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.15099090337753296},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.07893159985542297}],"concepts":[{"id":"https://openalex.org/C110546421","wikidata":"https://www.wikidata.org/wiki/Q1315869","display_name":"Arity","level":2,"score":0.9869792461395264},{"id":"https://openalex.org/C26826806","wikidata":"https://www.wikidata.org/wiki/Q438358","display_name":"Alternation (linguistics)","level":2,"score":0.7316924333572388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6540611982345581},{"id":"https://openalex.org/C144791301","wikidata":"https://www.wikidata.org/wiki/Q1548746","display_name":"Second-order logic","level":4,"score":0.5483759045600891},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5349463224411011},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.48929259181022644},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4714447259902954},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47094759345054626},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33268675208091736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27906250953674316},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18619877099990845},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.16473141312599182},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.15099090337753296},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.07893159985542297},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11663881_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11663881_7","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":30,"referenced_works":["https://openalex.org/W17974129","https://openalex.org/W109672481","https://openalex.org/W1482193060","https://openalex.org/W1482507836","https://openalex.org/W1492941334","https://openalex.org/W1512750313","https://openalex.org/W1558832481","https://openalex.org/W1984123476","https://openalex.org/W1989783863","https://openalex.org/W2002089154","https://openalex.org/W2007091370","https://openalex.org/W2013085432","https://openalex.org/W2036656440","https://openalex.org/W2054860648","https://openalex.org/W2055783586","https://openalex.org/W2065251436","https://openalex.org/W2067838189","https://openalex.org/W2075551673","https://openalex.org/W2076662767","https://openalex.org/W2092107489","https://openalex.org/W2112863615","https://openalex.org/W2131742729","https://openalex.org/W2161264011","https://openalex.org/W2161609549","https://openalex.org/W2324223338","https://openalex.org/W4205178514","https://openalex.org/W4206031975","https://openalex.org/W4213231691","https://openalex.org/W4302339081","https://openalex.org/W4388298880"],"related_works":["https://openalex.org/W4248488207","https://openalex.org/W2067838189","https://openalex.org/W2007091370","https://openalex.org/W1887853148","https://openalex.org/W1607932863","https://openalex.org/W2503721078","https://openalex.org/W1966763384","https://openalex.org/W1506160289","https://openalex.org/W2583825190","https://openalex.org/W2940074054"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}