{"id":"https://openalex.org/W2514260566","doi":"https://doi.org/10.23638/lmcs-13(2:2)2017","title":"Subcomputable Schnorr Randomness","display_name":"Subcomputable Schnorr Randomness","publication_year":2017,"publication_date":"2017-04-28","ids":{"openalex":"https://openalex.org/W2514260566","doi":"https://doi.org/10.23638/lmcs-13(2:2)2017","mag":"2514260566"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-13(2:2)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(2:2)2017","pdf_url":"https://lmcs.episciences.org/3290/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/3290/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079967798","display_name":"Claude Sureson","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Claude Sureson","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079967798"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01756166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"Volume 13, Issue 2","issue":null,"first_page":null,"last_page":null},"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11567","display_name":"semigroups and automata theory","score":0.9753000140190125,"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/randomness","display_name":"Randomness","score":0.8289576768875122},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4466524124145508},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.44430434703826904},{"id":"https://openalex.org/keywords/computable-analysis","display_name":"Computable analysis","score":0.42746487259864807},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42051756381988525},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.38830745220184326},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30554330348968506},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10663148760795593},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.057402998208999634}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8289576768875122},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4466524124145508},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.44430434703826904},{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.42746487259864807},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42051756381988525},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.38830745220184326},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30554330348968506},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10663148760795593},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.057402998208999634}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23638/lmcs-13(2:2)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(2:2)2017","pdf_url":"https://lmcs.episciences.org/3290/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1608.08918","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.08918","pdf_url":"https://arxiv.org/pdf/1608.08918","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.1608.08918","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1608.08918","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2962724340","is_oa":true,"landing_page_url":"http://dblp.uni-trier.de/db/journals/corr/corr1608.html#Sureson16","pdf_url":null,"source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Logical Methods in Computer Science","raw_type":null}],"best_oa_location":{"id":"doi:10.23638/lmcs-13(2:2)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(2:2)2017","pdf_url":"https://lmcs.episciences.org/3290/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.47999998927116394,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2514260566.pdf","grobid_xml":"https://content.openalex.org/works/W2514260566.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1496947201","https://openalex.org/W1574049752","https://openalex.org/W1579696469","https://openalex.org/W1861312691","https://openalex.org/W2007258917","https://openalex.org/W2020311636","https://openalex.org/W2045709959","https://openalex.org/W2077218542","https://openalex.org/W2094687533","https://openalex.org/W2100931500","https://openalex.org/W2176419554"],"related_works":["https://openalex.org/W98540345","https://openalex.org/W2046021909","https://openalex.org/W153068418","https://openalex.org/W1987175852","https://openalex.org/W1498085647","https://openalex.org/W1994403863","https://openalex.org/W1577501449","https://openalex.org/W2527631632","https://openalex.org/W2150482238","https://openalex.org/W2478257098"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,16],"Schnorr":[3,17],"randomness":[4,18],"refers":[5],"to":[6],"computable":[7,10,35],"reals":[8],"or":[9,33],"functions.":[11],"We":[12],"propose":[13],"a":[14],"version":[15],"for":[19],"subcomputable":[20],"classes":[21],"and":[22],"characterize":[23],"it":[24],"in":[25],"different":[26],"ways:":[27],"by":[28],"Martin":[29],"L\\&amp;quot;of":[30],"tests,":[31],"martingales":[32],"measure":[34],"machines.":[36]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
