{"id":"https://openalex.org/W3207308124","doi":"https://doi.org/10.24963/kr.2021/67","title":"On the Complexity of Preferred Semantics in Argumentation Frameworks with Bounded Cycle Length","display_name":"On the Complexity of Preferred Semantics in Argumentation Frameworks with Bounded Cycle Length","publication_year":2021,"publication_date":"2021-09-01","ids":{"openalex":"https://openalex.org/W3207308124","doi":"https://doi.org/10.24963/kr.2021/67","mag":"3207308124"},"language":"en","primary_location":{"id":"doi:10.24963/kr.2021/67","is_oa":true,"landing_page_url":"https://doi.org/10.24963/kr.2021/67","pdf_url":"https://proceedings.kr.org/2021/67/kr2021-0067-dvorak-et-al.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Eighteenth International Conference on Principles of Knowledge Representation and Reasoning","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://proceedings.kr.org/2021/67/kr2021-0067-dvorak-et-al.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064606350","display_name":"Wolfgang Dvo\u0159\u00e1k","orcid":"https://orcid.org/0000-0002-2269-8193"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Wolfgang Dvo\u0159\u00e1k","raw_affiliation_strings":["TU Wien"],"affiliations":[{"raw_affiliation_string":"TU Wien","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101484490","display_name":"Matthias K\u00f6nig","orcid":"https://orcid.org/0000-0003-0205-0039"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Matthias K\u00f6nig","raw_affiliation_strings":["TU Wien"],"affiliations":[{"raw_affiliation_string":"TU Wien","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006053030","display_name":"Stefan Woltran","orcid":"https://orcid.org/0000-0003-1594-8972"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefan Woltran","raw_affiliation_strings":["TU Wien"],"affiliations":[{"raw_affiliation_string":"TU Wien","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064606350"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":0.9797,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.81055885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"671","last_page":"675"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9997000098228455,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9997000098228455,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9915000200271606,"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/T10260","display_name":"Software Engineering Research","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/argumentation-theory","display_name":"Argumentation theory","score":0.7612779140472412},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6038627028465271},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5564638376235962},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.5543602108955383},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5236853361129761},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.48815757036209106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4871504008769989},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.4755299389362335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4456704258918762},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4416339695453644},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.4330641031265259},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24313771724700928},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.17603880167007446},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14255762100219727},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.08185005187988281},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07300901412963867}],"concepts":[{"id":"https://openalex.org/C65059942","wikidata":"https://www.wikidata.org/wiki/Q270105","display_name":"Argumentation theory","level":2,"score":0.7612779140472412},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6038627028465271},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5564638376235962},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5543602108955383},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5236853361129761},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.48815757036209106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4871504008769989},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.4755299389362335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4456704258918762},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4416339695453644},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.4330641031265259},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24313771724700928},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.17603880167007446},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14255762100219727},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08185005187988281},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07300901412963867},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.24963/kr.2021/67","is_oa":true,"landing_page_url":"https://doi.org/10.24963/kr.2021/67","pdf_url":"https://proceedings.kr.org/2021/67/kr2021-0067-dvorak-et-al.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Eighteenth International Conference on Principles of Knowledge Representation and Reasoning","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.24963/kr.2021/67","is_oa":true,"landing_page_url":"https://doi.org/10.24963/kr.2021/67","pdf_url":"https://proceedings.kr.org/2021/67/kr2021-0067-dvorak-et-al.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Eighteenth International Conference on Principles of Knowledge Representation and Reasoning","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G29884786","display_name":null,"funder_award_id":"ICT19-065","funder_id":"https://openalex.org/F4320321003","funder_display_name":"Vienna Science and Technology Fund"},{"id":"https://openalex.org/G6483656518","display_name":null,"funder_award_id":"ICT19-065","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G718477789","display_name":null,"funder_award_id":"P30168","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8951755804","display_name":null,"funder_award_id":"P32830","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321003","display_name":"Vienna Science and Technology Fund","ror":"https://ror.org/01f9mc681"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3207308124.pdf","grobid_xml":"https://content.openalex.org/works/W3207308124.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1523879902","https://openalex.org/W1841530067","https://openalex.org/W1975303601","https://openalex.org/W2011844594","https://openalex.org/W2042586976","https://openalex.org/W2104126268","https://openalex.org/W2149567024","https://openalex.org/W2888885454","https://openalex.org/W2899412558","https://openalex.org/W2931254850","https://openalex.org/W2997381408","https://openalex.org/W3091274829","https://openalex.org/W3137690603","https://openalex.org/W3161103327","https://openalex.org/W6644318551","https://openalex.org/W6682009687","https://openalex.org/W6964570589"],"related_works":["https://openalex.org/W2888918612","https://openalex.org/W2166285859","https://openalex.org/W3148597776","https://openalex.org/W1538206641","https://openalex.org/W2025370853","https://openalex.org/W3211656382","https://openalex.org/W2060412688","https://openalex.org/W2141332034","https://openalex.org/W4256185029","https://openalex.org/W1972183506"],"abstract_inverted_index":{"Argumentation":[0],"frameworks":[1,93],"are":[2,78],"a":[3],"core":[4],"formalism":[5],"in":[6,17,47,69],"the":[7,18,27,58,64,67,70,82],"field":[8],"of":[9,26,60,66,103],"formal":[10],"argumentation,":[11],"with":[12,32,94],"several":[13],"semantics":[14,23],"being":[15],"proposed":[16],"literature.":[19],"Among":[20],"them,":[21],"preferred":[22,49],"is":[24,42,51],"one":[25],"most":[28],"popular":[29],"but":[30],"comes":[31],"relatively":[33],"high":[34],"complexity.":[35],"In":[36,53],"fact,":[37],"deciding":[38],"whether":[39],"an":[40],"argument":[41],"skeptically":[43],"accepted,":[44],"i.e.":[45],"contained":[46],"each":[48],"extension,":[50],"Pi^P_2-complete.":[52],"this":[54,61],"work":[55],"we":[56],"study":[57],"complexity":[59,83],"problem":[62],"w.r.t.":[63],"length":[65,104],"cycles":[68,102],"considered":[71],"AF.":[72],"Our":[73],"results":[74],"show":[75],"which":[76],"bounds":[77],"necessary":[79],"to":[80,84],"decrease":[81],"coNP":[85],"and":[86,97],"P,":[87],"respectively.":[88],"We":[89],"also":[90],"consider":[91],"argumentation":[92],"collective":[95],"attacks":[96],"achieve":[98],"Pi^P_2-hardness":[99],"already":[100],"for":[101],"4.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
