{"id":"https://openalex.org/W1820503900","doi":"https://doi.org/10.1007/3-540-36206-1_22","title":"Deciding the First Level of the \u03bc-Calculus Alternation Hierarchy","display_name":"Deciding the First Level of the \u03bc-Calculus Alternation Hierarchy","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1820503900","doi":"https://doi.org/10.1007/3-540-36206-1_22","mag":"1820503900"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-36206-1_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36206-1_22","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/A5105424517","display_name":"Ralf K\u00fcsters","orcid":null},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ralf K\u00fcsters","raw_affiliation_strings":["Christian-Albrechts-Universit\u00c4t zu Kiel"],"affiliations":[{"raw_affiliation_string":"Christian-Albrechts-Universit\u00c4t zu Kiel","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084744032","display_name":"Thomas Wilke","orcid":"https://orcid.org/0000-0001-8263-7758"},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Wilke","raw_affiliation_strings":["Institut f\u00fcr Informatik und Praktische Mathematik, Christian-Albrechts-Universit\u00e4t zu Kiel, Germany","Christian-Albrechts-Universit\u00c4t zu Kiel"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik und Praktische Mathematik, Christian-Albrechts-Universit\u00e4t zu Kiel, Germany","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Christian-Albrechts-Universit\u00c4t zu Kiel","institution_ids":["https://openalex.org/I32021983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5105424517"],"corresponding_institution_ids":["https://openalex.org/I32021983"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3616,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.63930674,"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":"241","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":1.0,"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/T10142","display_name":"Formal Methods in Verification","score":1.0,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9947999715805054,"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/alternation","display_name":"Alternation (linguistics)","score":0.8730021119117737},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8141958117485046},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6761522889137268},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6610473394393921},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6011017560958862},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4599650502204895},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43392711877822876},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.43168455362319946},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32169678807258606},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2493840456008911},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10208269953727722},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.04423314332962036}],"concepts":[{"id":"https://openalex.org/C26826806","wikidata":"https://www.wikidata.org/wiki/Q438358","display_name":"Alternation (linguistics)","level":2,"score":0.8730021119117737},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8141958117485046},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6761522889137268},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6610473394393921},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6011017560958862},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4599650502204895},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43392711877822876},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.43168455362319946},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32169678807258606},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2493840456008911},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10208269953727722},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.04423314332962036},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-36206-1_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36206-1_22","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:macau.uni-kiel.de:macau_mods_00001928","is_oa":false,"landing_page_url":"https://macau.uni-kiel.de/receive/macau_mods_00001928","pdf_url":null,"source":{"id":"https://openalex.org/S4377196482","display_name":"MACAU (Kiel University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32021983","host_organization_name":"Christian-Albrechts-Universit\u00e4t zu Kiel","host_organization_lineage":["https://openalex.org/I32021983"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:Report"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.550000011920929,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W117768600","https://openalex.org/W1482768571","https://openalex.org/W1549866473","https://openalex.org/W1572677512","https://openalex.org/W1589421353","https://openalex.org/W1604678784","https://openalex.org/W1820503900","https://openalex.org/W1881786745","https://openalex.org/W2015640848","https://openalex.org/W2113800199","https://openalex.org/W2126399192","https://openalex.org/W2163151383","https://openalex.org/W2168498451","https://openalex.org/W2616044496"],"related_works":["https://openalex.org/W3125214380","https://openalex.org/W2241575141","https://openalex.org/W2776959647","https://openalex.org/W4298388444","https://openalex.org/W1588701573","https://openalex.org/W1820503900","https://openalex.org/W2581629772","https://openalex.org/W2961332145","https://openalex.org/W1983330347","https://openalex.org/W4300794829"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
