{"id":"https://openalex.org/W2135406363","doi":"https://doi.org/10.1017/s0963548314000133","title":"A Note on a Problem Posed by D. E. Knuth on a Satisfiability Recurrence","display_name":"A Note on a Problem Posed by D. E. Knuth on a Satisfiability Recurrence","publication_year":2014,"publication_date":"2014-07-09","ids":{"openalex":"https://openalex.org/W2135406363","doi":"https://doi.org/10.1017/s0963548314000133","mag":"2135406363"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548314000133","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548314000133","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","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/A5102728318","display_name":"Philippe Jacquet","orcid":"https://orcid.org/0000-0001-7919-1206"},"institutions":[{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"PHILIPPE JACQUET","raw_affiliation_strings":["Bell Labs, Alcatel-Lucent, 91620 Nozay, France (e-mail:","French Institute for Research in Computer Science and Automation"],"affiliations":[{"raw_affiliation_string":"Bell Labs, Alcatel-Lucent, 91620 Nozay, France (e-mail:","institution_ids":["https://openalex.org/I1322087612"]},{"raw_affiliation_string":"French Institute for Research in Computer Science and Automation","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038794095","display_name":"Charles Knessl","orcid":"https://orcid.org/0000-0001-8106-8880"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"CHARLES KNESSL","raw_affiliation_strings":["Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USA (e-mail:","University of Illinois at Chicago"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USA (e-mail:","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"University of Illinois at Chicago","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019536160","display_name":"Wojciech Szpankowski","orcid":"https://orcid.org/0000-0001-9062-0067"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"WOJCIECH SZPANKOWSKI","raw_affiliation_strings":["Department of Computer Science, Purdue University, W. Lafayette, IN 47907, USA (e-mail:","Purdue University"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Purdue University, W. Lafayette, IN 47907, USA (e-mail:","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Purdue University","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102728318"],"corresponding_institution_ids":["https://openalex.org/I1322087612"],"apc_list":null,"apc_paid":null,"fwci":0.818,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8162121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"5","first_page":"829","last_page":"841"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9980000257492065,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9980000257492065,"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/satisfiability","display_name":"Satisfiability","score":0.8361514806747437},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8044767379760742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7251297831535339},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.6955095529556274},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5222190618515015},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.5214059352874756},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.42521780729293823},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3983273506164551}],"concepts":[{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.8361514806747437},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8044767379760742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7251297831535339},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.6955095529556274},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5222190618515015},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.5214059352874756},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.42521780729293823},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3983273506164551},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548314000133","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548314000133","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W15707893","https://openalex.org/W186403072","https://openalex.org/W1969377401","https://openalex.org/W1977905656","https://openalex.org/W1998556530","https://openalex.org/W2033639590","https://openalex.org/W2057361103","https://openalex.org/W2085901659","https://openalex.org/W2131644760","https://openalex.org/W2161613033","https://openalex.org/W2340541605","https://openalex.org/W2500470525","https://openalex.org/W2752853835","https://openalex.org/W3198160809","https://openalex.org/W6664827099"],"related_works":["https://openalex.org/W3176904788","https://openalex.org/W21597398","https://openalex.org/W2091617677","https://openalex.org/W4298153058","https://openalex.org/W2408080066","https://openalex.org/W2268872489","https://openalex.org/W1913543287","https://openalex.org/W2014111643","https://openalex.org/W2963044240","https://openalex.org/W2076399409"],"abstract_inverted_index":{"We":[0,34],"resolve":[1],"a":[2,9],"conjecture":[3],"proposed":[4],"by":[5],"D.E.":[6],"Knuth":[7],"concerning":[8],"recurrence":[10,17,37],"arising":[11,20],"in":[12,21,26],"the":[13,22,46],"satisfiability":[14],"problem.":[15],"Knuth's":[16,36],"resembles":[18],"recurrences":[19],"analysis":[23],"of":[24],"tries,":[25,29],"particular":[27],"PATRICIA":[28],"and":[30,39,49],"asymmetric":[31],"leader":[32],"election.":[33],"solve":[35],"exactly":[38],"asymptotically,":[40],"using":[41],"analytic":[42,50],"techniques":[43],"such":[44],"as":[45],"Mellin":[47],"transform":[48],"depoissonization.":[51]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
