{"id":"https://openalex.org/W2131232520","doi":"https://doi.org/10.1007/978-3-642-13523-1_15","title":"A New Representation of Chaitin \u03a9 Number Based on Compressible Strings","display_name":"A New Representation of Chaitin \u03a9 Number Based on Compressible Strings","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2131232520","doi":"https://doi.org/10.1007/978-3-642-13523-1_15","mag":"2131232520"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-13523-1_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13523-1_15","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/A5038016171","display_name":"Kohtaro Tadaki","orcid":null},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kohtaro Tadaki","raw_affiliation_strings":["Research and Development Initiative, Chuo University, JST CREST, Tokyo, Japan","Research and Development Initiative, Chuo University, JST CREST, Bunkyo-ku, Tokyo, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Research and Development Initiative, Chuo University, JST CREST, Tokyo, Japan","institution_ids":["https://openalex.org/I96679780"]},{"raw_affiliation_string":"Research and Development Initiative, Chuo University, JST CREST, Bunkyo-ku, Tokyo, Japan#TAB#","institution_ids":["https://openalex.org/I96679780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038016171"],"corresponding_institution_ids":["https://openalex.org/I96679780"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7271,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72683566,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"127","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11269","display_name":"Algorithms and Data Compression","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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9922999739646912,"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/computability","display_name":"Computability","score":0.7296940088272095},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6497070789337158},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6123356819152832},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.511520504951477},{"id":"https://openalex.org/keywords/prefix","display_name":"Prefix","score":0.5111239552497864},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.5106411576271057},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.48686590790748596},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.479220449924469},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4531165063381195},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4173062741756439},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3337201476097107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28436464071273804}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.7296940088272095},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6497070789337158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6123356819152832},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.511520504951477},{"id":"https://openalex.org/C141603448","wikidata":"https://www.wikidata.org/wiki/Q134830","display_name":"Prefix","level":2,"score":0.5111239552497864},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5106411576271057},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.48686590790748596},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.479220449924469},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4531165063381195},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4173062741756439},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3337201476097107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28436464071273804},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-13523-1_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13523-1_15","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:10.1.1.205.7482","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.205.7482","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.auckland.ac.nz/CDMTCS//researchreports/380kohtaro.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.761.4316","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.761.4316","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1004.0658.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":19,"referenced_works":["https://openalex.org/W1559541715","https://openalex.org/W1574049752","https://openalex.org/W1740355831","https://openalex.org/W1819783580","https://openalex.org/W2020311636","https://openalex.org/W2029308360","https://openalex.org/W2031410185","https://openalex.org/W2038458144","https://openalex.org/W2054482276","https://openalex.org/W2062443283","https://openalex.org/W2069840355","https://openalex.org/W2097083282","https://openalex.org/W2118139375","https://openalex.org/W2561675875","https://openalex.org/W2567782165","https://openalex.org/W2752309239","https://openalex.org/W3093654831","https://openalex.org/W3105668385","https://openalex.org/W3106417737"],"related_works":["https://openalex.org/W3196321793","https://openalex.org/W3034924094","https://openalex.org/W3080705045","https://openalex.org/W2951103138","https://openalex.org/W4302764995","https://openalex.org/W1571617560","https://openalex.org/W4299568366","https://openalex.org/W2950344047","https://openalex.org/W2483853972","https://openalex.org/W2259775885"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
