{"id":"https://openalex.org/W2012525333","doi":"https://doi.org/10.1016/0020-0190(95)00201-4","title":"A High-Low Kolmogorov Complexity Law equivalent to the 0\u20131 Law","display_name":"A High-Low Kolmogorov Complexity Law equivalent to the 0\u20131 Law","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2012525333","doi":"https://doi.org/10.1016/0020-0190(95)00201-4","mag":"2012525333"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(95)00201-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0020-0190(95)00201-4","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/0020-0190(95)00201-4","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046763801","display_name":"Marius Zimand","orcid":"https://orcid.org/0000-0002-5938-6599"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marius Zimand","raw_affiliation_strings":["Department of Computer Science, University of Rochester, Rochester, NY 14627, USA","Dept. of Computer Science, University of Rochester, Rochester, NY, 14627, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Rochester, Rochester, NY 14627, USA","institution_ids":["https://openalex.org/I5388228"]},{"raw_affiliation_string":"Dept. of Computer Science, University of Rochester, Rochester, NY, 14627, USA","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046763801"],"corresponding_institution_ids":["https://openalex.org/I5388228"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":{"value":2200,"currency":"USD","value_usd":2200},"fwci":1.0308,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75202447,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"2","first_page":"59","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994000196456909,"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/T10142","display_name":"Formal Methods in Verification","score":0.9973000288009644,"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/kolmogorov-complexity","display_name":"Kolmogorov complexity","score":0.8602046966552734},{"id":"https://openalex.org/keywords/kolmogorov-structure-function","display_name":"Kolmogorov structure function","score":0.7998111844062805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6399734020233154},{"id":"https://openalex.org/keywords/kolmogorov-equations","display_name":"Kolmogorov equations (Markov jump process)","score":0.5555021166801453},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.524001955986023},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.5093146562576294},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3644658327102661},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3318917751312256},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16814956068992615},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07122886180877686},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.06869703531265259},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.06376716494560242}],"concepts":[{"id":"https://openalex.org/C2779341405","wikidata":"https://www.wikidata.org/wiki/Q1456811","display_name":"Kolmogorov complexity","level":2,"score":0.8602046966552734},{"id":"https://openalex.org/C15995199","wikidata":"https://www.wikidata.org/wiki/Q5805968","display_name":"Kolmogorov structure function","level":3,"score":0.7998111844062805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6399734020233154},{"id":"https://openalex.org/C59465623","wikidata":"https://www.wikidata.org/wiki/Q6427428","display_name":"Kolmogorov equations (Markov jump process)","level":5,"score":0.5555021166801453},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.524001955986023},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.5093146562576294},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3644658327102661},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3318917751312256},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16814956068992615},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07122886180877686},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.06869703531265259},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.06376716494560242},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0020-0190(95)00201-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0020-0190(95)00201-4","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.22.9626","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.9626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://136.160.185.82/pub/hilonew.ps","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/0020-0190(95)00201-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0020-0190(95)00201-4","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Processing Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6700000166893005}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W76753297","https://openalex.org/W1598664776","https://openalex.org/W1638203394","https://openalex.org/W2008438091","https://openalex.org/W2023252732","https://openalex.org/W2034198367","https://openalex.org/W2038225707","https://openalex.org/W2063406522","https://openalex.org/W2070695637","https://openalex.org/W2085536555","https://openalex.org/W2104881994","https://openalex.org/W2116011691","https://openalex.org/W2905110430","https://openalex.org/W3003623942","https://openalex.org/W6603106288","https://openalex.org/W6652615263","https://openalex.org/W6659211631","https://openalex.org/W6675587104","https://openalex.org/W6676872783"],"related_works":["https://openalex.org/W4360890123","https://openalex.org/W636594073","https://openalex.org/W2548376734","https://openalex.org/W4246258635","https://openalex.org/W226726922","https://openalex.org/W4252389405","https://openalex.org/W2571335838","https://openalex.org/W3197899920","https://openalex.org/W2028930979","https://openalex.org/W2070695637"],"abstract_inverted_index":{"It":[0],"is":[1],"shown":[2],"that":[3,47],"the":[4,26,30],"0\u20131":[5],"Law":[6],"for":[7,39],"recursive":[8],"logics":[9],"on":[10],"finite":[11,40],"structures":[12,41],"admits":[13],"an":[14],"equivalent":[15],"formulation":[16,24],"in":[17],"terms":[18],"of":[19,28],"Kolmogorov":[20,31],"complexity.":[21],"The":[22],"new":[23],"opens":[25],"possibility":[27],"using":[29],"complexity":[32],"apparatus":[33],"to":[34],"easily":[35],"derive":[36],"various":[37],"properties":[38],"satisfying":[42],"a":[43],"given":[44],"properties.":[45],"Examples":[46],"illustrate":[48],"this":[49],"point":[50],"are":[51],"provided.":[52]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}