{"id":"https://openalex.org/W2043102901","doi":"https://doi.org/10.1007/s001530050163","title":"The $\\mu$ -measure as a tool for classifying computational complexity","display_name":"The $\\mu$ -measure as a tool for classifying computational complexity","publication_year":2000,"publication_date":"2000-10-01","ids":{"openalex":"https://openalex.org/W2043102901","doi":"https://doi.org/10.1007/s001530050163","mag":"2043102901"},"language":"en","primary_location":{"id":"doi:10.1007/s001530050163","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050163","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"type":"article","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/A5113599640","display_name":"Karl-Heinz Niggl","orcid":null},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Karl-Heinz Niggl","raw_affiliation_strings":["Technische Universit\u00e4t Ilmenau, Fakult\u00e4t f\u00fcr Informatik und Automatisierung, Fachgebiet Komplexit\u00e4tstheorie, PF 100565, 98684 Ilmenau, Germany. e-mail: niggl@theoinf.tu-ilmenau.de, , , , , , DE","Technische Universit\u00e4t Ilmenau, Fakult\u00e4t f\u00fcr Informatik und Automatisierung, Fachgebiet Komplexit\u00e4tstheorie, PF 100565, 98684 Ilmenau, Germany. e-mail: niggl@theoinf.tu-ilmenau.de, DE"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Ilmenau, Fakult\u00e4t f\u00fcr Informatik und Automatisierung, Fachgebiet Komplexit\u00e4tstheorie, PF 100565, 98684 Ilmenau, Germany. e-mail: niggl@theoinf.tu-ilmenau.de, , , , , , DE","institution_ids":["https://openalex.org/I119449181"]},{"raw_affiliation_string":"Technische Universit\u00e4t Ilmenau, Fakult\u00e4t f\u00fcr Informatik und Automatisierung, Fachgebiet Komplexit\u00e4tstheorie, PF 100565, 98684 Ilmenau, Germany. e-mail: niggl@theoinf.tu-ilmenau.de, DE","institution_ids":["https://openalex.org/I119449181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113599640"],"corresponding_institution_ids":["https://openalex.org/I119449181"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8149,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90370813,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"7","first_page":"515","last_page":"539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991999864578247,"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":0.9968000054359436,"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/recursion","display_name":"Recursion (computer science)","score":0.7410656213760376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7317051291465759},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.6252092719078064},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6178635358810425},{"id":"https://openalex.org/keywords/primitive-recursive-function","display_name":"Primitive recursive function","score":0.5521395206451416},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.5402445793151855},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5129610896110535},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5057060718536377},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4756184220314026},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4542660117149353},{"id":"https://openalex.org/keywords/linear-space","display_name":"Linear space","score":0.454109251499176},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44986557960510254},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33475467562675476},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.33308470249176025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1891331970691681},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16355982422828674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11241993308067322},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0735916793346405}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7410656213760376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7317051291465759},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.6252092719078064},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6178635358810425},{"id":"https://openalex.org/C9986523","wikidata":"https://www.wikidata.org/wiki/Q1570472","display_name":"Primitive recursive function","level":2,"score":0.5521395206451416},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.5402445793151855},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5129610896110535},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5057060718536377},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4756184220314026},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4542660117149353},{"id":"https://openalex.org/C176370821","wikidata":"https://www.wikidata.org/wiki/Q1826459","display_name":"Linear space","level":2,"score":0.454109251499176},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44986557960510254},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33475467562675476},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.33308470249176025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1891331970691681},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16355982422828674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11241993308067322},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0735916793346405},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s001530050163","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050163","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1539014","https://openalex.org/W615345195","https://openalex.org/W1512249603","https://openalex.org/W1981324778","https://openalex.org/W1981528174","https://openalex.org/W1999590237","https://openalex.org/W2069549740","https://openalex.org/W2069792094","https://openalex.org/W2085554469","https://openalex.org/W3029117793"],"related_works":["https://openalex.org/W6819771","https://openalex.org/W4388310202","https://openalex.org/W2310420552","https://openalex.org/W2147242574","https://openalex.org/W2359098868","https://openalex.org/W2625390511","https://openalex.org/W44798671","https://openalex.org/W2002385864","https://openalex.org/W2073746311","https://openalex.org/W2006786362"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
