{"id":"https://openalex.org/W1487571554","doi":"https://doi.org/10.3233/com-2012-002","title":"Tree Representations via Ordinal Machines","display_name":"Tree Representations via Ordinal Machines","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1487571554","doi":"https://doi.org/10.3233/com-2012-002","mag":"1487571554"},"language":"en","primary_location":{"id":"doi:10.3233/com-2012-002","is_oa":true,"landing_page_url":"https://doi.org/10.3233/com-2012-002","pdf_url":"https://content.iospress.com:443/download/computability/com002?id=computability%2Fcom002","source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://content.iospress.com:443/download/computability/com002?id=computability%2Fcom002","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003413515","display_name":"Philipp Schlicht","orcid":"https://orcid.org/0000-0001-7736-7466"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Schlicht","raw_affiliation_strings":["Mathematical Institute, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany","Mathematical Institute, University of Bonn, Endenicher Allee, 60 53115 Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Mathematical Institute, University of Bonn, Endenicher Allee, 60 53115 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045567330","display_name":"Benjamin Seyfferth","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Benjamin Seyfferth","raw_affiliation_strings":["Mathematical Institute, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany","Mathematical Institute, University of Bonn, Endenicher Allee, 60 53115 Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Mathematical Institute, University of Bonn, Endenicher Allee, 60 53115 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":null,"apc_paid":null,"fwci":0.68,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.68594455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"1","issue":"1","first_page":"45","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","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/T12002","display_name":"Computability, Logic, AI Algorithms","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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9883000254631042,"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/decidability","display_name":"Decidability","score":0.6282118558883667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.541054368019104},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5304077863693237},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47882917523384094},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.432176411151886},{"id":"https://openalex.org/keywords/ordinal-optimization","display_name":"Ordinal optimization","score":0.4252098798751831},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.4223206043243408},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.42060819268226624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3820633292198181},{"id":"https://openalex.org/keywords/ordinal-data","display_name":"Ordinal data","score":0.3084367513656616},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25635194778442383},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22286710143089294},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06987476348876953},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0681225061416626}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6282118558883667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.541054368019104},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5304077863693237},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47882917523384094},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.432176411151886},{"id":"https://openalex.org/C81386100","wikidata":"https://www.wikidata.org/wiki/Q7100792","display_name":"Ordinal optimization","level":3,"score":0.4252098798751831},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.4223206043243408},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.42060819268226624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3820633292198181},{"id":"https://openalex.org/C85461838","wikidata":"https://www.wikidata.org/wiki/Q7100785","display_name":"Ordinal data","level":2,"score":0.3084367513656616},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25635194778442383},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22286710143089294},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06987476348876953},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0681225061416626}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/com-2012-002","is_oa":true,"landing_page_url":"https://doi.org/10.3233/com-2012-002","pdf_url":"https://content.iospress.com:443/download/computability/com002?id=computability%2Fcom002","source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3233/com-2012-002","is_oa":true,"landing_page_url":"https://doi.org/10.3233/com-2012-002","pdf_url":"https://content.iospress.com:443/download/computability/com002?id=computability%2Fcom002","source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4099999964237213,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1487571554.pdf","grobid_xml":"https://content.openalex.org/works/W1487571554.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W40029885","https://openalex.org/W1539382740","https://openalex.org/W1565029977","https://openalex.org/W2004845705","https://openalex.org/W2064937274","https://openalex.org/W2134322756","https://openalex.org/W2571490773","https://openalex.org/W2912644765"],"related_works":["https://openalex.org/W2525848170","https://openalex.org/W2058716166","https://openalex.org/W3021328243","https://openalex.org/W1536163558","https://openalex.org/W3048680633","https://openalex.org/W141250983","https://openalex.org/W1992168264","https://openalex.org/W2506242593","https://openalex.org/W3110712162","https://openalex.org/W4246163636"],"abstract_inverted_index":{"We":[0,34],"study":[1],"sets":[2],"of":[3,13],"reals":[4],"computable":[5],"by":[6,20],"ordinal":[7,30,39],"Turing":[8,23],"machines":[9,26],"with":[10],"a":[11,21],"tape":[12],"length":[14],"the":[15],"ordinals":[16],"that":[17],"are":[18],"steered":[19],"standard":[22],"program.":[24],"The":[25],"halt":[27],"at":[28],"some":[29],"time":[31],"or":[32],"diverge.":[33],"construct":[35],"tree":[36],"representations":[37],"for":[38],"semi-decid":[40]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}