{"id":"https://openalex.org/W7154477339","doi":"https://doi.org/10.1007/978-3-032-22752-2_5","title":"Orbitopal Fixing in SAT","display_name":"Orbitopal Fixing in SAT","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7154477339","doi":"https://doi.org/10.1007/978-3-032-22752-2_5"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-22752-2_5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-22752-2_5","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-22752-2_5.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-22752-2_5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133679218","display_name":"Markus Anders","orcid":"https://orcid.org/0009-0004-5992-8433"},"institutions":[{"id":"https://openalex.org/I4387152675","display_name":"Rheinland-Pf\u00e4lzische Technische Universit\u00e4t Kaiserslautern-Landau","ror":"https://ror.org/01qrts582","country_code":"DE","type":"education","lineage":["https://openalex.org/I4387152675"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Markus Anders","raw_affiliation_strings":["RPTU Kaiserslautern-Landau, Kaiserslautern, Germany"],"raw_orcid":"https://orcid.org/0009-0004-5992-8433","affiliations":[{"raw_affiliation_string":"RPTU Kaiserslautern-Landau, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4387152675"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085576498","display_name":"Cayden Codel","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cayden Codel","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA, United States"],"raw_orcid":"https://orcid.org/0000-0003-3588-4873","affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA, United States","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025921874","display_name":"Marijn J. H. Heule","orcid":"https://orcid.org/0000-0002-5587-8801"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marijn J. H. Heule","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA, United States"],"raw_orcid":"https://orcid.org/0000-0002-5587-8801","affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA, United States","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5133679218"],"corresponding_institution_ids":["https://openalex.org/I4387152675"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.38157895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"89","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10852","display_name":"Temporomandibular Joint Disorders","score":0.3037000000476837,"subfield":{"id":"https://openalex.org/subfields/3603","display_name":"Complementary and Manual Therapy"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10852","display_name":"Temporomandibular Joint Disorders","score":0.3037000000476837,"subfield":{"id":"https://openalex.org/subfields/3603","display_name":"Complementary and Manual Therapy"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10356","display_name":"Orthodontics and Dentofacial Orthopedics","score":0.14509999752044678,"subfield":{"id":"https://openalex.org/subfields/3505","display_name":"Orthodontics"},"field":{"id":"https://openalex.org/fields/35","display_name":"Dentistry"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11562","display_name":"Facial Trauma and Fracture Management","score":0.05510000139474869,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.7426000237464905},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.7084000110626221},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.6338000297546387},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5077000260353088},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.4629000127315521},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.4323999881744385},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.3847000002861023},{"id":"https://openalex.org/keywords/proof-of-concept","display_name":"Proof of concept","score":0.38199999928474426},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.3774000108242035}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8205000162124634},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.7426000237464905},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.7084000110626221},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.6338000297546387},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5077000260353088},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5072000026702881},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.4629000127315521},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.4323999881744385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4318000078201294},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4287000000476837},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.3847000002861023},{"id":"https://openalex.org/C124978682","wikidata":"https://www.wikidata.org/wiki/Q1201019","display_name":"Proof of concept","level":2,"score":0.38199999928474426},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.3774000108242035},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.3767000138759613},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.36809998750686646},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.35499998927116394},{"id":"https://openalex.org/C7342684","wikidata":"https://www.wikidata.org/wiki/Q520777","display_name":"Boolean data type","level":2,"score":0.353300005197525},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.3375000059604645},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.3237999975681305},{"id":"https://openalex.org/C200415742","wikidata":"https://www.wikidata.org/wiki/Q1350285","display_name":"True quantified Boolean formula","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.3174999952316284},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.31360000371932983},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.30660000443458557},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.28209999203681946},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.250900000333786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-22752-2_5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-22752-2_5","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-22752-2_5.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-032-22752-2_5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-22752-2_5","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-22752-2_5.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4713059963","display_name":null,"funder_award_id":"FA8750","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G927843526","display_name":"SHF: Small: CoopSLS: Improving Boolean Satisfiability Solvers through Cooperative Stochastic Local Search","funder_award_id":"2415773","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7154477339.pdf","grobid_xml":"https://content.openalex.org/works/W7154477339.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W55887128","https://openalex.org/W165726963","https://openalex.org/W618980177","https://openalex.org/W1537195693","https://openalex.org/W1547410739","https://openalex.org/W1687588989","https://openalex.org/W1773554800","https://openalex.org/W1990600049","https://openalex.org/W2003590658","https://openalex.org/W2011388930","https://openalex.org/W2119027206","https://openalex.org/W2129022098","https://openalex.org/W2396266074","https://openalex.org/W2499282942","https://openalex.org/W2742197492","https://openalex.org/W2788332637","https://openalex.org/W2811231250","https://openalex.org/W2913257024","https://openalex.org/W2918119152","https://openalex.org/W2962880908","https://openalex.org/W2995196401","https://openalex.org/W3037973199","https://openalex.org/W3165061841","https://openalex.org/W3176994838","https://openalex.org/W3185307588","https://openalex.org/W3196303094","https://openalex.org/W4206807714","https://openalex.org/W4385828195","https://openalex.org/W4400973078","https://openalex.org/W6929074986","https://openalex.org/W6947920922","https://openalex.org/W6965332741","https://openalex.org/W7115176598"],"related_works":[],"abstract_inverted_index":{"Despite":[0],"their":[1],"sophisticated":[2],"heuristics,":[3,52],"boolean":[4],"satisfiability":[5],"(SAT)":[6],"solvers":[7,41],"are":[8,20],"still":[9],"vulnerable":[10],"to":[11,15,22],"symmetry,":[12],"causing":[13],"them":[14],"visit":[16],"search":[17],"regions":[18],"that":[19],"symmetric":[21],"ones":[23],"already":[24],"explored.":[25],"While":[26],"symmetry":[27,68],"handling":[28],"is":[29,42],"routine":[30],"in":[31,97,104],"other":[32],"solving":[33],"paradigms,":[34],"integrating":[35],"it":[36,92],"into":[37],"state-of-the-art":[38],"proof-producing":[39],"SAT":[40],"difficult:":[43],"added":[44],"reasoning":[45],"must":[46],"be":[47],"fast,":[48],"non-interfering":[49],"with":[50,55,116],"solver":[51],"and":[53,91],"compatible":[54],"formal":[56],"proof":[57,95,101],"logging.":[58],"To":[59],"address":[60],"these":[61],"issues,":[62],"we":[63],"present":[64],"a":[65,75],"practical":[66],"static":[67],"breaking":[69],"approach":[70,82],"based":[71],"on":[72,113],"orbitopal":[73],"fixing,":[74],"technique":[76],"adapted":[77],"from":[78],"mixed-integer":[79],"programming.":[80],"Our":[81],"adds":[83],"only":[84],"unit":[85],"clauses,":[86],"which":[87],"minimizes":[88],"downstream":[89],"slowdowns,":[90],"emits":[93],"succinct":[94],"certificates":[96],"the":[98,105],"substitution":[99],"redundancy":[100],"system.":[102],"Implemented":[103],"satsuma":[106],"tool,":[107],"our":[108],"methods":[109],"deliver":[110],"consistent":[111],"speedups":[112],"symmetry-rich":[114],"benchmarks":[115],"negligible":[117],"regressions":[118],"elsewhere.":[119]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2026-04-16T00:00:00"}