{"id":"https://openalex.org/W2953824542","doi":"https://doi.org/10.1145/3321707.3321851","title":"Evolving boolean functions with conjunctions and disjunctions via genetic programming","display_name":"Evolving boolean functions with conjunctions and disjunctions via genetic programming","publication_year":2019,"publication_date":"2019-07-03","ids":{"openalex":"https://openalex.org/W2953824542","doi":"https://doi.org/10.1145/3321707.3321851","mag":"2953824542"},"language":"en","primary_location":{"id":"doi:10.1145/3321707.3321851","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3321707.3321851","pdf_url":null,"source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1903.11936","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105520300","display_name":"Benjamin Doerr","orcid":"https://orcid.org/0000-0001-5283-4208"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Benjamin Doerr","raw_affiliation_strings":["\u00c9cole Polytechnique, Palaiseau, France","\u00c9cole Polytechnique, Palaiseau FRANCE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"\u00c9cole Polytechnique, Palaiseau FRANCE","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060822830","display_name":"Andrei Lissovoi","orcid":null},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrei Lissovoi","raw_affiliation_strings":["The University of Sheffield, Sheffield, United Kingdom","The University of Sheffield, Sheffield, United Kingdom#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Sheffield, Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"The University of Sheffield, Sheffield, United Kingdom#TAB#","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063001475","display_name":"Pietro S. Oliveto","orcid":"https://orcid.org/0000-0001-8164-6767"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Pietro S. Oliveto","raw_affiliation_strings":["The University of Sheffield, Sheffield, United Kingdom","The University of Sheffield, Sheffield, United Kingdom#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Sheffield, Sheffield, United Kingdom","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"The University of Sheffield, Sheffield, United Kingdom#TAB#","institution_ids":["https://openalex.org/I91136226"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1003","last_page":"1011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9998999834060669,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9998999834060669,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9976000189781189,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9821000099182129,"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/conjunction","display_name":"Conjunction (astronomy)","score":0.8675689697265625},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7525191307067871},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6977006196975708},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.653037428855896},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5728062987327576},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5350790023803711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5110753774642944},{"id":"https://openalex.org/keywords/truth-table","display_name":"Truth table","score":0.483690083026886},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46644115447998047},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4546360373497009},{"id":"https://openalex.org/keywords/genetic-programming","display_name":"Genetic programming","score":0.4360586404800415},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4307776987552643},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4211004972457886},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.414206326007843},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3810186982154846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33494776487350464},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09198233485221863}],"concepts":[{"id":"https://openalex.org/C59656382","wikidata":"https://www.wikidata.org/wiki/Q191536","display_name":"Conjunction (astronomy)","level":2,"score":0.8675689697265625},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7525191307067871},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6977006196975708},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.653037428855896},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5728062987327576},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5350790023803711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5110753774642944},{"id":"https://openalex.org/C56949724","wikidata":"https://www.wikidata.org/wiki/Q219079","display_name":"Truth table","level":2,"score":0.483690083026886},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46644115447998047},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4546360373497009},{"id":"https://openalex.org/C110332635","wikidata":"https://www.wikidata.org/wiki/Q629498","display_name":"Genetic programming","level":2,"score":0.4360586404800415},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4307776987552643},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4211004972457886},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.414206326007843},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3810186982154846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33494776487350464},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09198233485221863},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3321707.3321851","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3321707.3321851","pdf_url":null,"source":{"id":"https://openalex.org/S4363608932","display_name":"Proceedings of the Genetic and Evolutionary Computation Conference","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Genetic and Evolutionary Computation Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:144390","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Proceedings Paper"},{"id":"pmh:oai:arXiv.org:1903.11936","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.11936","pdf_url":"https://arxiv.org/pdf/1903.11936","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":"mag:2953824542","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1903.11936","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-04484779v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04484779","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"GECCO '19: Genetic and Evolutionary Computation Conference, 2019, Prague, Czech Republic. pp.1003-1011, &#x27E8;10.1145/3321707.3321851&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.1903.11936","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1903.11936","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1903.11936","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.11936","pdf_url":"https://arxiv.org/pdf/1903.11936","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2972198855","display_name":"Rigorous Runtime Analysis of Bio-Inspired Computing","funder_award_id":"EP/M004252/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8501742012","display_name":null,"funder_award_id":"EP/M004252/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W992908829","https://openalex.org/W1507965776","https://openalex.org/W1576818901","https://openalex.org/W1580959953","https://openalex.org/W1588788171","https://openalex.org/W1596384364","https://openalex.org/W1645523878","https://openalex.org/W1984555915","https://openalex.org/W2037343293","https://openalex.org/W2053987102","https://openalex.org/W2061751517","https://openalex.org/W2063653388","https://openalex.org/W2343967979","https://openalex.org/W2499688774","https://openalex.org/W2729625880","https://openalex.org/W2752367602","https://openalex.org/W2784961280","https://openalex.org/W2789211118","https://openalex.org/W2899960936"],"related_works":["https://openalex.org/W2951814809","https://openalex.org/W2914377170","https://openalex.org/W2406918565","https://openalex.org/W2885396681","https://openalex.org/W2623507201","https://openalex.org/W1611993677","https://openalex.org/W2963650730","https://openalex.org/W2181972042","https://openalex.org/W2946507701","https://openalex.org/W2728725997","https://openalex.org/W3022305591","https://openalex.org/W2605065382","https://openalex.org/W2470301456","https://openalex.org/W122981503","https://openalex.org/W2908474516","https://openalex.org/W3002604948","https://openalex.org/W1496892516","https://openalex.org/W2891511423","https://openalex.org/W227831831","https://openalex.org/W2792515119"],"abstract_inverted_index":{"Recently":[0],"it":[1],"has":[2],"been":[3],"proved":[4],"that":[5,67,121,160],"simple":[6],"GP":[7,43,80],"systems":[8],"can":[9,142],"efficiently":[10],"evolve":[11],"the":[12,22,37,54,69,73,83,92,112,167,175,178],"conjunction":[13,74],"of":[14,41,59,75,114,126],"n":[15,76,98,107],"variables":[16],"if":[17,68],"they":[18],"are":[19],"equipped":[20],"with":[21,50,136,145],"minimal":[23],"required":[24],"components.":[25],"In":[26],"this":[27],"paper,":[28],"we":[29,119,154],"make":[30],"a":[31,42,47,79,109,123,156],"considerable":[32],"step":[33],"forward":[34],"by":[35],"analysing":[36],"behaviour":[38],"and":[39,62],"performance":[40],"system":[44,81],"for":[45],"evolving":[46],"Boolean":[48],"function":[49,56,71,95],"unknown":[51],"components,":[52],"i.e.":[53],"target":[55,70,94],"may":[57],"consist":[58],"both":[60],"conjunctions":[61,135],"disjunctions.":[63],"We":[64],"rigorously":[65],"prove":[66],"is":[72,108,129,170],"variables,":[77],"then":[78],"using":[82],"complete":[84],"truth":[85],"table":[86],"to":[87,131],"evaluate":[88,132],"program":[89],"quality":[90],"evolves":[91],"exact":[93],"in":[96,102,174],"O(\u2113":[97],"log2":[99],"n)":[100],"iterations":[101],"expectation,":[103],"where":[104],"\u2113":[105],"\u2265":[106],"limit":[110],"on":[111],"size":[113],"any":[115,137],"accepted":[116],"tree.":[117],"Additionally,":[118],"show":[120],"when":[122,166],"polynomial":[124],"sample":[125],"possible":[127],"inputs":[128],"used":[130],"solution":[133],"quality,":[134],"polynomially":[138],"small":[139],"generalisation":[140],"error":[141],"be":[143],"evolved":[144],"probability":[146],"1":[147],"-":[148],"O(log2(n)/n).":[149],"To":[150],"produce":[151],"our":[152],"results":[153],"introduce":[155],"super-multiplicative":[157],"drift":[158],"theorem":[159],"gives":[161],"significantly":[162],"stronger":[163],"runtime":[164],"bounds":[165],"expected":[168],"progress":[169],"only":[171],"slightly":[172],"super-linear":[173],"distance":[176],"from":[177],"optimum.":[179]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
