{"id":"https://openalex.org/W4385764377","doi":"https://doi.org/10.24963/ijcai.2023/304","title":"A Unifying Formal Approach to Importance Values in Boolean Functions","display_name":"A Unifying Formal Approach to Importance Values in Boolean Functions","publication_year":2023,"publication_date":"2023-08-01","ids":{"openalex":"https://openalex.org/W4385764377","doi":"https://doi.org/10.24963/ijcai.2023/304"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2023/304","is_oa":true,"landing_page_url":"http://dx.doi.org/10.24963/ijcai.2023/304","pdf_url":"https://www.ijcai.org/proceedings/2023/0304.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.ijcai.org/proceedings/2023/0304.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072653488","display_name":"Hans Harder","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]},{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans Harder","raw_affiliation_strings":["Dresden University of Technology","University of Paderborn","Dresden University of Technology; University of Paderborn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dresden University of Technology","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"University of Paderborn","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Dresden University of Technology; University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003273762","display_name":"Simon Jantsch","orcid":"https://orcid.org/0000-0003-1692-2408"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Simon Jantsch","raw_affiliation_strings":["Dresden University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dresden University of Technology","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091344667","display_name":"Christel Baier","orcid":"https://orcid.org/0000-0002-5321-9343"},"institutions":[{"id":"https://openalex.org/I4210167396","display_name":"Deutsche Telekom (Slovakia)","ror":"https://ror.org/05xjjbz05","country_code":"SK","type":"company","lineage":["https://openalex.org/I4210093367","https://openalex.org/I4210167396"]},{"id":"https://openalex.org/I4405267400","display_name":"Centre for Tactile Internet with Human-in-the-Loop","ror":"https://ror.org/02kfbaj13","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4405267400","https://openalex.org/I78650965"]},{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE","SK"],"is_corresponding":false,"raw_author_name":"Christel Baier","raw_affiliation_strings":["Centre for Tactile Internet with Human-in-the-Loop (CeTI)","Dresden University of Technology","Centre for Tactile Internet with Human-in-the-Loop (CeTI); Dresden University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Tactile Internet with Human-in-the-Loop (CeTI)","institution_ids":["https://openalex.org/I4405267400"]},{"raw_affiliation_string":"Dresden University of Technology","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Centre for Tactile Internet with Human-in-the-Loop (CeTI); Dresden University of Technology","institution_ids":["https://openalex.org/I4210167396","https://openalex.org/I4405267400"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054154442","display_name":"Clemens Dubslaff","orcid":"https://orcid.org/0000-0001-5718-8276"},"institutions":[{"id":"https://openalex.org/I4210167396","display_name":"Deutsche Telekom (Slovakia)","ror":"https://ror.org/05xjjbz05","country_code":"SK","type":"company","lineage":["https://openalex.org/I4210093367","https://openalex.org/I4210167396"]},{"id":"https://openalex.org/I4405267400","display_name":"Centre for Tactile Internet with Human-in-the-Loop","ror":"https://ror.org/02kfbaj13","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4405267400","https://openalex.org/I78650965"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["DE","NL","SK"],"is_corresponding":false,"raw_author_name":"Clemens Dubslaff","raw_affiliation_strings":["Centre for Tactile Internet with Human-in-the-Loop (CeTI)","Eindhoven University of Technology","Centre for Tactile Internet with Human-in-the-Loop (CeTI); Eindhoven University of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Tactile Internet with Human-in-the-Loop (CeTI)","institution_ids":["https://openalex.org/I4405267400"]},{"raw_affiliation_string":"Eindhoven University of Technology","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Centre for Tactile Internet with Human-in-the-Loop (CeTI); Eindhoven University of Technology","institution_ids":["https://openalex.org/I4210167396","https://openalex.org/I4405267400","https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8688,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7459345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2728","last_page":"2737"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9973999857902527,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9973999857902527,"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/T10142","display_name":"Formal Methods in Verification","score":0.9965999722480774,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9839000105857849,"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/boolean-function","display_name":"Boolean function","score":0.6491067409515381},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5854157209396362},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5693511366844177},{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.4767414331436157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4114198386669159},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2687429189682007}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6491067409515381},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5854157209396362},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5693511366844177},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.4767414331436157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4114198386669159},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2687429189682007}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.24963/ijcai.2023/304","is_oa":true,"landing_page_url":"http://dx.doi.org/10.24963/ijcai.2023/304","pdf_url":"https://www.ijcai.org/proceedings/2023/0304.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire/255c72db-c9e0-4f0e-97fb-a0cfa3e23450","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/255c72db-c9e0-4f0e-97fb-a0cfa3e23450","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Harder, H, Jantsch, S, Baier, C & Dubslaff, C 2023, A Unifying Formal Approach to Importance Values in Boolean Functions. in E Elkind (ed.), Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023. International Joint Conferences on Artificial Intelligence (IJCAI), pp. 2728-2737, 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023, Macao, China, 19/08/23. https://doi.org/10.24963/ijcai.2023/304","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.tue.nl:publications/255c72db-c9e0-4f0e-97fb-a0cfa3e23450","is_oa":true,"landing_page_url":"https://research.tue.nl/files/357542570/0304_1_.pdf","pdf_url":"https://pure.tue.nl/ws/files/357542570/0304_1_.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Harder, H, Jantsch, S, Baier, C & Dubslaff, C 2023, A Unifying Formal Approach to Importance Values in Boolean Functions. in E Elkind (ed.), Proceedings of the 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023. International Joint Conferences on Artificial Intelligence (IJCAI), pp. 2728-2737, 32nd International Joint Conference on Artificial Intelligence, IJCAI 2023, Macao, China, 19/08/23. https://doi.org/10.24963/ijcai.2023/304","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2023/304","is_oa":true,"landing_page_url":"http://dx.doi.org/10.24963/ijcai.2023/304","pdf_url":"https://www.ijcai.org/proceedings/2023/0304.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G100456731","display_name":null,"funder_award_id":"ID390696704","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1375572575","display_name":"EXC 2050: Centre for Tactile Internet with HumanintheLoop (CeTI)","funder_award_id":"390696704","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1933938177","display_name":null,"funder_award_id":"EXC 2050/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3032849772","display_name":null,"funder_award_id":"TRR 248","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4021765181","display_name":null,"funder_award_id":"2050/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G890954746","display_name":"TRR 248: Grundlagen verst\u00e4ndlicher SoftwareSysteme  f\u00fcr eine nachvollziehbare cyberphysische Welt","funder_award_id":"389792660","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385764377.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W19219339","https://openalex.org/W203529317","https://openalex.org/W1416711184","https://openalex.org/W1577016621","https://openalex.org/W1589045411","https://openalex.org/W1636554345","https://openalex.org/W1973509616","https://openalex.org/W1977881907","https://openalex.org/W2019121884","https://openalex.org/W2026348610","https://openalex.org/W2030224590","https://openalex.org/W2033656824","https://openalex.org/W2056268283","https://openalex.org/W2085301456","https://openalex.org/W2103749128","https://openalex.org/W2130780163","https://openalex.org/W2140727935","https://openalex.org/W2155298431","https://openalex.org/W2237824572","https://openalex.org/W2492221966","https://openalex.org/W3010576444","https://openalex.org/W3102754027","https://openalex.org/W3197050135","https://openalex.org/W4226377756","https://openalex.org/W4229630935"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W257150968","https://openalex.org/W3140601928","https://openalex.org/W1977451125","https://openalex.org/W2057159994","https://openalex.org/W2168881618","https://openalex.org/W2133491672","https://openalex.org/W1608751818","https://openalex.org/W86917440","https://openalex.org/W2109998394"],"abstract_inverted_index":{"Boolean":[0],"functions":[1,74],"and":[2,23,51,97,100,103,108,116,122,142,148],"their":[3],"representation":[4],"through":[5],"logics,":[6],"circuits,":[7],"machine":[8],"learning":[9],"classifiers,":[10],"or":[11],"binary":[12],"decision":[13],"diagrams":[14],"(BDDs)":[15],"play":[16],"a":[17,58,68,112],"central":[18],"role":[19],"in":[20,92,135],"the":[21,29,35,93,129],"design":[22,50],"analysis":[24],"of":[25,32,40,71,78,88,106,126,131],"computing":[26],"systems.":[27],"Quantifying":[28],"relative":[30],"impact":[31,130],"variables":[33],"on":[34,67,133],"truth":[36],"value":[37,73],"by":[38,82],"means":[39],"importance":[41,72,89],"values":[42,90],"can":[43],"provide":[44],"useful":[45],"insights":[46],"to":[47],"steer":[48],"system":[49],"debugging.":[52],"In":[53],"this":[54],"paper,":[55],"we":[56,146],"introduce":[57],"uniform":[59],"framework":[60],"for":[61,153],"reasoning":[62],"about":[63],"such":[64,119],"values,":[65,124],"relying":[66],"generic":[69],"notion":[70,105],"(IVFs).":[75],"The":[76],"class":[77],"IVFs":[79,115],"is":[80],"defined":[81],"axioms":[83],"motivated":[84],"from":[85],"several":[86],"notions":[87],"introduced":[91],"literature,":[94],"including":[95],"Ben-Or":[96],"Linial\u2019s":[98],"influence":[99],"Chockler,":[101],"Halpern,":[102],"Kupferman\u2019s":[104],"responsibility":[107],"blame.":[109],"We":[110],"establish":[111],"connection":[113],"between":[114],"game-theoretic":[117],"concepts":[118],"as":[120],"Shapley":[121],"Banzhaf":[123],"both":[125],"which":[127],"measure":[128],"players":[132],"outcomes":[134],"cooperative":[136],"games.":[137],"Exploiting":[138],"BDD-based":[139],"symbolic":[140],"methods":[141],"projected":[143],"model":[144],"counting,":[145],"devise":[147],"evaluate":[149],"practical":[150],"computation":[151],"schemes":[152],"IVFs.":[154]},"counts_by_year":[{"year":2024,"cited_by_count":4}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}