{"id":"https://openalex.org/W2786962850","doi":"https://doi.org/10.1145/3209108.3209156","title":"A universal-algebraic proof of the complexity dichotomy for Monotone Monadic SNP","display_name":"A universal-algebraic proof of the complexity dichotomy for Monotone Monadic SNP","publication_year":2018,"publication_date":"2018-06-27","ids":{"openalex":"https://openalex.org/W2786962850","doi":"https://doi.org/10.1145/3209108.3209156","mag":"2786962850"},"language":"en","primary_location":{"id":"doi:10.1145/3209108.3209156","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3209108.3209156","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1802.03255","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058729018","display_name":"Manuel Bodirsky","orcid":"https://orcid.org/0000-0001-8228-3611"},"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":true,"raw_author_name":"Manuel Bodirsky","raw_affiliation_strings":["Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany","Institut F\u00fcr Algebra, Technische Universit\u00e4t Dresden, Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut F\u00fcr Algebra, Technische Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044720498","display_name":"Florent Madelaine","orcid":"https://orcid.org/0000-0002-8528-7105"},"institutions":[{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]},{"id":"https://openalex.org/I4210099416","display_name":"Laboratoire d'Informatique, de Mod\u00e9lisation et d'Optimisation des Syst\u00e8mes","ror":"https://ror.org/00t3fpp34","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I198244214","https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993","https://openalex.org/I4210099416","https://openalex.org/I4210123221","https://openalex.org/I4210159245","https://openalex.org/I4387154249"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Florent Madelaine","raw_affiliation_strings":["LIMOS, Universit\u00e9 Clermont Auvergne, Aubi\u00e8re, France","[LIMOS, Universit\u00e9 Clermont Auvergne, Aubi\u00e8re, France]"],"affiliations":[{"raw_affiliation_string":"LIMOS, Universit\u00e9 Clermont Auvergne, Aubi\u00e8re, France","institution_ids":["https://openalex.org/I4210099416","https://openalex.org/I198244214"]},{"raw_affiliation_string":"[LIMOS, Universit\u00e9 Clermont Auvergne, Aubi\u00e8re, France]","institution_ids":["https://openalex.org/I4210099416","https://openalex.org/I198244214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021389919","display_name":"Antoine Mottet","orcid":"https://orcid.org/0000-0002-3517-1745"},"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":"Antoine Mottet","raw_affiliation_strings":["Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany","Institut F\u00fcr Algebra, Technische Universit\u00e4t Dresden, Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische, Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Institut F\u00fcr Algebra, Technische Universit\u00e4t Dresden, Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058729018"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":1.8992,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84415866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"105","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9980999827384949,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.690185010433197},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.6014543175697327},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.47162485122680664},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.43831297755241394},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.43313363194465637},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4147421419620514},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.2997003197669983},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.2993115782737732}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.690185010433197},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.6014543175697327},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.47162485122680664},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.43831297755241394},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.43313363194465637},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4147421419620514},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.2997003197669983},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.2993115782737732},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1145/3209108.3209156","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3209108.3209156","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1802.03255","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.03255","pdf_url":"https://arxiv.org/pdf/1802.03255","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01829387v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01829387","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"the 33rd Annual ACM/IEEE Symposium, Jul 2018, Oxford, United Kingdom. ⟨10.1145/3209108.3209156⟩","raw_type":"Conference papers"},{"id":"pmh:oai:tore.tuhh.de:11420/12090","is_oa":false,"landing_page_url":"http://hdl.handle.net/11420/12090","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"},{"id":"doi:10.48550/arxiv.1802.03255","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1802.03255","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":"article"},{"id":"mag:2786962850","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1802.03255","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.03255","pdf_url":"https://arxiv.org/pdf/1802.03255","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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8548348219","display_name":null,"funder_award_id":"681988","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2786962850.pdf","grobid_xml":"https://content.openalex.org/works/W2786962850.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W188572849","https://openalex.org/W417925666","https://openalex.org/W1526709558","https://openalex.org/W1863800201","https://openalex.org/W1932788387","https://openalex.org/W1968276645","https://openalex.org/W1970318994","https://openalex.org/W1979514837","https://openalex.org/W1984264511","https://openalex.org/W1985668982","https://openalex.org/W1988705590","https://openalex.org/W1998968023","https://openalex.org/W2026753685","https://openalex.org/W2041384065","https://openalex.org/W2070051236","https://openalex.org/W2097831877","https://openalex.org/W2102459557","https://openalex.org/W2104048625","https://openalex.org/W2108266191","https://openalex.org/W2150339067","https://openalex.org/W2165528704","https://openalex.org/W2166197332","https://openalex.org/W2166311066","https://openalex.org/W2169474499","https://openalex.org/W2276690803","https://openalex.org/W2296309901","https://openalex.org/W2474561564","https://openalex.org/W2531245455","https://openalex.org/W2541597401","https://openalex.org/W2564015517","https://openalex.org/W2593619415","https://openalex.org/W2604316877","https://openalex.org/W2604510960","https://openalex.org/W2743203358","https://openalex.org/W2940854778","https://openalex.org/W2962785950","https://openalex.org/W2963365369","https://openalex.org/W2963666051","https://openalex.org/W2963700967","https://openalex.org/W2963768895","https://openalex.org/W2963967056","https://openalex.org/W3100051117","https://openalex.org/W3103815471","https://openalex.org/W3104398743","https://openalex.org/W3104818279","https://openalex.org/W4230417672"],"related_works":["https://openalex.org/W1976863752","https://openalex.org/W3037255481","https://openalex.org/W3002360326","https://openalex.org/W3127264540","https://openalex.org/W2072543642","https://openalex.org/W1991486497","https://openalex.org/W3036465104","https://openalex.org/W1491145085","https://openalex.org/W2116766306","https://openalex.org/W1494513799","https://openalex.org/W2788272802","https://openalex.org/W1635687005","https://openalex.org/W2064113986","https://openalex.org/W2950165413","https://openalex.org/W1803783765","https://openalex.org/W2594691059","https://openalex.org/W2726560500","https://openalex.org/W3029800901","https://openalex.org/W2506657322","https://openalex.org/W1986272823"],"abstract_inverted_index":{"The":[0,25],"logic":[1,10,26],"MMSNP":[2,37,111],"is":[3,39],"a":[4,43,65,90,114,126],"restricted":[5],"fragment":[6],"of":[7,60,68,81,117,129,162],"existential":[8],"second-order":[9],"which":[11],"allows":[12,86,150],"to":[13,42,71,88,94,138,152,157],"express":[14],"many":[15],"interesting":[16],"queries":[17],"in":[18,102],"graph":[19],"theory":[20],"and":[21,31,93,131,145],"finite":[22,115,142],"model":[23],"theory.":[24],"was":[27],"introduced":[28],"by":[29,55,125],"Feder":[30],"Vardi":[32],"who":[33],"showed":[34],"that":[35,74,109],"every":[36,110],"sentence":[38,112],"computationally":[40],"equivalent":[41],"finite-domain":[44,72],"constraint":[45],"satisfaction":[46],"problem":[47],"(CSP);":[48],"the":[49,69,79,96,107,146,154,159],"involved":[50],"probabilistic":[51],"reductions":[52],"were":[53],"derandomized":[54],"Kun":[56],"using":[57],"explicit":[58],"constructions":[59],"expander":[61],"structures.":[62],"We":[63],"present":[64],"new":[66,84],"proof":[67,85],"reduction":[70],"CSPs":[73,101,118],"does":[75],"not":[76],"rely":[77],"on":[78],"results":[80],"Kun.":[82],"This":[83,149],"us":[87,151],"obtain":[89],"stronger":[91],"statement":[92],"verify":[95],"Bodirsky-Pinsker":[97],"dichotomy":[98],"conjecture":[99],"for":[100,119],"MMSNP.":[103,163],"Our":[104],"approach":[105,156],"uses":[106],"fact":[108],"describes":[113],"union":[116],"countably":[120],"infinite":[121],"\u03c9-categorical":[122],"structures;":[123],"moreover,":[124],"recent":[127],"result":[128],"Hubi\u010dka":[130],"Ne\u0161et\u0159il,":[132],"these":[133],"structures":[134,140],"can":[135],"be":[136],"expanded":[137],"homogeneous":[139],"with":[141],"relational":[143],"signature":[144],"Ramsey":[147],"property.":[148],"use":[153],"universal-algebraic":[155],"study":[158],"computational":[160],"complexity":[161]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2022-10-04T00:00:00"}