{"id":"https://openalex.org/W4283757928","doi":"https://doi.org/10.1017/s1471068422000151","title":"Efficient Lifting of Symmetry Breaking Constraints for Complex Combinatorial Problems","display_name":"Efficient Lifting of Symmetry Breaking Constraints for Complex Combinatorial Problems","publication_year":2022,"publication_date":"2022-06-30","ids":{"openalex":"https://openalex.org/W4283757928","doi":"https://doi.org/10.1017/s1471068422000151"},"language":"en","primary_location":{"id":"doi:10.1017/s1471068422000151","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068422000151","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4312D965F93AB49D85A75334958848CB/S1471068422000151a.pdf/div-class-title-efficient-lifting-of-symmetry-breaking-constraints-for-complex-combinatorial-problems-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4312D965F93AB49D85A75334958848CB/S1471068422000151a.pdf/div-class-title-efficient-lifting-of-symmetry-breaking-constraints-for-complex-combinatorial-problems-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000720206","display_name":"Alice Tarzariol","orcid":"https://orcid.org/0000-0001-6586-3649"},"institutions":[{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"ALICE TARZARIOL","raw_affiliation_strings":["University of Klagenfurt, Klagenfurt, Austria (e-mails:","University of Klagenfurt, Klagenfurt, Austria (e-mails: alice.tarzariol@aau.at, konstantin.schekotihin@aau.at)"],"raw_orcid":"https://orcid.org/0000-0001-6586-3649","affiliations":[{"raw_affiliation_string":"University of Klagenfurt, Klagenfurt, Austria (e-mails:","institution_ids":["https://openalex.org/I4210166741"]},{"raw_affiliation_string":"University of Klagenfurt, Klagenfurt, Austria (e-mails: alice.tarzariol@aau.at, konstantin.schekotihin@aau.at)","institution_ids":["https://openalex.org/I4210166741"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055185135","display_name":"Konstantin Schekotihin","orcid":"https://orcid.org/0000-0002-0286-0958"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]},{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["AT","GB"],"is_corresponding":false,"raw_author_name":"KONSTANTIN SCHEKOTIHIN","raw_affiliation_strings":["University of Klagenfurt, Klagenfurt, Austria (e-mails:","University of Klagenfurt, Austria","Imperial College London, UK","Graz University of Technology, Austria"],"raw_orcid":"https://orcid.org/0000-0002-0286-0958","affiliations":[{"raw_affiliation_string":"University of Klagenfurt, Klagenfurt, Austria (e-mails:","institution_ids":["https://openalex.org/I4210166741"]},{"raw_affiliation_string":"University of Klagenfurt, Austria","institution_ids":["https://openalex.org/I4210166741"]},{"raw_affiliation_string":"Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Graz University of Technology, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006066772","display_name":"Martin Gebser","orcid":"https://orcid.org/0000-0002-8010-4752"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]},{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["AT","GB"],"is_corresponding":false,"raw_author_name":"MARTIN GEBSER","raw_affiliation_strings":["University of Klagenfurt, Klagenfurt, Austria Graz University of Technology, Graz, Austria (e-mail:","University of Klagenfurt, Austria","Graz University of Technology, Austria","Imperial College London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Klagenfurt, Klagenfurt, Austria Graz University of Technology, Graz, Austria (e-mail:","institution_ids":["https://openalex.org/I4092182","https://openalex.org/I4210166741"]},{"raw_affiliation_string":"University of Klagenfurt, Austria","institution_ids":["https://openalex.org/I4210166741"]},{"raw_affiliation_string":"Graz University of Technology, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027423431","display_name":"Mark Law","orcid":"https://orcid.org/0000-0003-4554-3415"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]},{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["AT","GB"],"is_corresponding":false,"raw_author_name":"MARK LAW","raw_affiliation_strings":["Imperial College London, London, UK (e-mail:","Imperial College London, UK","Graz University of Technology, Austria","University of Klagenfurt, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Imperial College London, London, UK (e-mail:","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Graz University of Technology, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"University of Klagenfurt, Austria","institution_ids":["https://openalex.org/I4210166741"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000720206"],"corresponding_institution_ids":["https://openalex.org/I4210166741"],"apc_list":null,"apc_paid":null,"fwci":0.5549,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71651195,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"22","issue":"4","first_page":"606","last_page":"622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T10215","display_name":"Semantic Web and Ontologies","score":0.9957000017166138,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9947999715805054,"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/computer-science","display_name":"Computer science","score":0.8405981659889221},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6211928725242615},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5545501112937927},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5063749551773071},{"id":"https://openalex.org/keywords/inductive-logic-programming","display_name":"Inductive logic programming","score":0.48831984400749207},{"id":"https://openalex.org/keywords/answer-set-programming","display_name":"Answer set programming","score":0.4689466655254364},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4339723289012909},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.43100500106811523},{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"Symmetry breaking","score":0.41116559505462646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4013112783432007},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33166131377220154},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1332125961780548},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10221162438392639},{"id":"https://openalex.org/keywords/systems-engineering","display_name":"Systems engineering","score":0.08262190222740173}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8405981659889221},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6211928725242615},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5545501112937927},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5063749551773071},{"id":"https://openalex.org/C2779382394","wikidata":"https://www.wikidata.org/wiki/Q1464197","display_name":"Inductive logic programming","level":2,"score":0.48831984400749207},{"id":"https://openalex.org/C182620335","wikidata":"https://www.wikidata.org/wiki/Q2852531","display_name":"Answer set programming","level":3,"score":0.4689466655254364},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4339723289012909},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.43100500106811523},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.41116559505462646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4013112783432007},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33166131377220154},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1332125961780548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10221162438392639},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.08262190222740173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s1471068422000151","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068422000151","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4312D965F93AB49D85A75334958848CB/S1471068422000151a.pdf/div-class-title-efficient-lifting-of-symmetry-breaking-constraints-for-complex-combinatorial-problems-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s1471068422000151","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068422000151","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4312D965F93AB49D85A75334958848CB/S1471068422000151a.pdf/div-class-title-efficient-lifting-of-symmetry-breaking-constraints-for-complex-combinatorial-problems-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4000000059604645,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283757928.pdf","grobid_xml":"https://content.openalex.org/works/W4283757928.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1643852869","https://openalex.org/W1857789879","https://openalex.org/W1970944326","https://openalex.org/W2016578044","https://openalex.org/W2035142469","https://openalex.org/W2076698873","https://openalex.org/W2310736451","https://openalex.org/W2506402500","https://openalex.org/W2525579820","https://openalex.org/W2542981480","https://openalex.org/W2808078614","https://openalex.org/W2950995869","https://openalex.org/W3022686495","https://openalex.org/W3042097880","https://openalex.org/W3130268038","https://openalex.org/W3190366283","https://openalex.org/W4210873948","https://openalex.org/W4254790956","https://openalex.org/W4323365614","https://openalex.org/W6603319106","https://openalex.org/W6754467876","https://openalex.org/W6782666160"],"related_works":["https://openalex.org/W2978856588","https://openalex.org/W2995623605","https://openalex.org/W2953272728","https://openalex.org/W1431464475","https://openalex.org/W178618149","https://openalex.org/W2161960556","https://openalex.org/W2898772359","https://openalex.org/W2964612035","https://openalex.org/W3200411040","https://openalex.org/W2150695558"],"abstract_inverted_index":{"Abstract":[0],"Many":[1],"industrial":[2],"applications":[3],"require":[4],"finding":[5],"solutions":[6],"to":[7,35,74,116,143],"challenging":[8,80],"combinatorial":[9],"problems.":[10],"Efficient":[11],"elimination":[12],"of":[13,19,41,66,127,135],"symmetric":[14],"solution":[15],"candidates":[16],"is":[17,47,50],"one":[18],"the":[20,53,61,84,98,106,119,133,139,144],"key":[21],"enablers":[22],"for":[23,30,37,70,124],"high-performance":[24],"solving.":[25],"However,":[26],"existing":[27],"model-based":[28,68],"approaches":[29],"symmetry":[31],"breaking":[32],"are":[33],"limited":[34],"problems":[36],"which":[38,49],"a":[39,67,92,111],"set":[40],"representative":[42],"and":[43,64,78,109,138],"easily":[44],"solvable":[45],"instances":[46,131],"available,":[48],"often":[51],"not":[52],"case":[54],"in":[55,97],"practical":[56],"applications.":[57],"This":[58],"work":[59],"extends":[60],"learning":[62,107],"framework":[63],"implementation":[65],"approach":[69,137],"Answer":[71],"Set":[72],"Programming":[73,101],"overcome":[75],"these":[76],"limitations":[77],"address":[79],"problems,":[81],"such":[82],"as":[83],"Partner":[85,128],"Units":[86,129],"Problem.":[87],"In":[88],"particular,":[89],"we":[90],"incorporate":[91],"new":[93,112],"conflict":[94],"analysis":[95],"algorithm":[96],"Inductive":[99],"Logic":[100],"system":[102],"ILASP":[103],",":[104],"redefine":[105],"task,":[108],"suggest":[110],"example":[113],"generation":[114],"method":[115],"scale":[117],"up":[118],"approach.":[120],"The":[121],"experiments":[122],"conducted":[123],"different":[125],"kinds":[126],"Problem":[130],"demonstrate":[132],"applicability":[134],"our":[136],"computational":[140],"benefits":[141],"due":[142],"first-order":[145],"constraints":[146],"learned.":[147]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
