{"id":"https://openalex.org/W1535778448","doi":"https://doi.org/10.1007/3-540-45504-3_1","title":"Linear Ramified Higher Type Recursion and Parallel Complexity","display_name":"Linear Ramified Higher Type Recursion and Parallel Complexity","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1535778448","doi":"https://doi.org/10.1007/3-540-45504-3_1","mag":"1535778448"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45504-3_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45504-3_1","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/A5055860523","display_name":"Klaus Aehlig","orcid":null},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Klaus Aehlig","raw_affiliation_strings":["Mathematisches Institut, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Theresienstra\u00dfe 39, 80333, M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Theresienstra\u00dfe 39, 80333, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025624345","display_name":"Jan Johannsen","orcid":null},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jan Johannsen","raw_affiliation_strings":["Institut f\u00fcr Informatik, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Oettingenstra\u00dfe 67, 80538, M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Oettingenstra\u00dfe 67, 80538, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112382767","display_name":"Helmut Schwichtenberg","orcid":null},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Helmut Schwichtenberg","raw_affiliation_strings":["Department of Mathematics and Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076144323","display_name":"Sebastiaan A. Terwijn","orcid":"https://orcid.org/0000-0002-1464-6908"},"institutions":[{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Sebastiaan A. Terwijn","raw_affiliation_strings":["Department of Mathematics and Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055860523"],"corresponding_institution_ids":["https://openalex.org/I8204097"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2924,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.55949639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9850000143051147,"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/T10142","display_name":"Formal Methods in Verification","score":0.9592000246047974,"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":0.9132784605026245},{"id":"https://openalex.org/keywords/double-recursion","display_name":"Double recursion","score":0.8590710163116455},{"id":"https://openalex.org/keywords/mutual-recursion","display_name":"Mutual recursion","score":0.6874548196792603},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.6586079001426697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6392809152603149},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5378069281578064},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5339160561561584},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3729313015937805},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3516950011253357},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29811927676200867},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16753658652305603},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16745969653129578},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.052538275718688965}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.9132784605026245},{"id":"https://openalex.org/C139503435","wikidata":"https://www.wikidata.org/wiki/Q5300083","display_name":"Double recursion","level":3,"score":0.8590710163116455},{"id":"https://openalex.org/C124416688","wikidata":"https://www.wikidata.org/wiki/Q3454656","display_name":"Mutual recursion","level":3,"score":0.6874548196792603},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.6586079001426697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6392809152603149},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5378069281578064},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5339160561561584},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3729313015937805},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3516950011253357},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29811927676200867},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16753658652305603},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16745969653129578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.052538275718688965},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/3-540-45504-3_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45504-3_1","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:10.1.1.15.9344","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.9344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathematik.uni-muenchen.de/~aehlig/pub/01-nc.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.24.9883","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.9883","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tcs.informatik.uni-muenchen.de/ftp/jjohanns/publ/ajst.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.29.542","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.542","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathematik.uni-muenchen.de/~schwicht/papers/ajst00/NCTERM/draft.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.65.5699","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.65.5699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tcs.ifi.lmu.de/~jjohanns/papers/ajst.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1539014","https://openalex.org/W100509257","https://openalex.org/W1514700258","https://openalex.org/W1525064220","https://openalex.org/W1600795850","https://openalex.org/W1957081287","https://openalex.org/W1970717586","https://openalex.org/W1970954854","https://openalex.org/W2008822134","https://openalex.org/W2041688914","https://openalex.org/W2062740098","https://openalex.org/W2066952252","https://openalex.org/W2069792094","https://openalex.org/W2136868774","https://openalex.org/W2163512254","https://openalex.org/W2487994344","https://openalex.org/W4233064469"],"related_works":["https://openalex.org/W2006836388","https://openalex.org/W2896379815","https://openalex.org/W2155605358","https://openalex.org/W4249703975","https://openalex.org/W2374742784","https://openalex.org/W223586891","https://openalex.org/W1563586960","https://openalex.org/W560887346","https://openalex.org/W2065302945","https://openalex.org/W2044963554"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}