{"id":"https://openalex.org/W4390604618","doi":"https://doi.org/10.1145/3632843","title":"Ramsey Quantifiers in Linear Arithmetics","display_name":"Ramsey Quantifiers in Linear Arithmetics","publication_year":2024,"publication_date":"2024-01-02","ids":{"openalex":"https://openalex.org/W4390604618","doi":"https://doi.org/10.1145/3632843"},"language":"en","primary_location":{"id":"doi:10.1145/3632843","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3632843","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3632843","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3632843","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021279817","display_name":"Pascal Bergstr\u00e4\u00dfer","orcid":"https://orcid.org/0000-0002-4681-2149"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I2802076133","display_name":"University of Koblenz and Landau","ror":"https://ror.org/01j9f6752","country_code":"DE","type":"education","lineage":["https://openalex.org/I2802076133"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Pascal Bergstr\u00e4\u00dfer","raw_affiliation_strings":["University of Kaiserslautern-Landau, Kaiserslautern, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4681-2149","affiliations":[{"raw_affiliation_string":"University of Kaiserslautern-Landau, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046","https://openalex.org/I2802076133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005654849","display_name":"Moses Ganardi","orcid":"https://orcid.org/0000-0002-0775-7781"},"institutions":[{"id":"https://openalex.org/I4210121786","display_name":"Max Planck Institute for Software Systems","ror":"https://ror.org/02pe2kf23","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210121786"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Moses Ganardi","raw_affiliation_strings":["MPI-SWS, Kaiserslautern, Germany"],"raw_orcid":"https://orcid.org/0000-0002-0775-7781","affiliations":[{"raw_affiliation_string":"MPI-SWS, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4210121786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034129725","display_name":"Anthony W. Lin","orcid":"https://orcid.org/0000-0003-4715-5096"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I2802076133","display_name":"University of Koblenz and Landau","ror":"https://ror.org/01j9f6752","country_code":"DE","type":"education","lineage":["https://openalex.org/I2802076133"]},{"id":"https://openalex.org/I4210121786","display_name":"Max Planck Institute for Software Systems","ror":"https://ror.org/02pe2kf23","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210121786"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anthony W. Lin","raw_affiliation_strings":["MPI-SWS, Kaiserslautern, Germany","University of Kaiserslautern-Landau, Kaiserslautern, Germany","University of Kaiserslautern-Landau, Kaiserslautern, Germany / MPI-SWS, Kaiserslautern, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4715-5096","affiliations":[{"raw_affiliation_string":"MPI-SWS, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4210121786"]},{"raw_affiliation_string":"University of Kaiserslautern-Landau, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046","https://openalex.org/I2802076133"]},{"raw_affiliation_string":"University of Kaiserslautern-Landau, Kaiserslautern, Germany / MPI-SWS, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046","https://openalex.org/I4210121786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083429244","display_name":"Georg Zetzsche","orcid":"https://orcid.org/0000-0002-6421-4388"},"institutions":[{"id":"https://openalex.org/I4210121786","display_name":"Max Planck Institute for Software Systems","ror":"https://ror.org/02pe2kf23","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210121786"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Georg Zetzsche","raw_affiliation_strings":["MPI-SWS, Kaiserslautern, Germany"],"raw_orcid":"https://orcid.org/0000-0002-6421-4388","affiliations":[{"raw_affiliation_string":"MPI-SWS, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I4210121786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5145,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62344624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"8","issue":"POPL","first_page":"1","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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/decidability","display_name":"Decidability","score":0.726892352104187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6111324429512024},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5224515199661255},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.5091332793235779},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5068019032478333},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.4694623053073883},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.4683600962162018},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4620022475719452},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.4265424907207489},{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.4213583469390869},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3263150453567505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31138044595718384},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11095848679542542}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.726892352104187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6111324429512024},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5224515199661255},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.5091332793235779},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5068019032478333},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.4694623053073883},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.4683600962162018},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4620022475719452},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.4265424907207489},{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.4213583469390869},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3263150453567505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31138044595718384},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11095848679542542}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3632843","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3632843","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3632843","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3632843","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3632843","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3632843","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1727486901","display_name":null,"funder_award_id":"101089343","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8003262441","display_name":null,"funder_award_id":"101089343,101077902","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4390604618.pdf","grobid_xml":"https://content.openalex.org/works/W4390604618.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W2436624","https://openalex.org/W17381159","https://openalex.org/W116323116","https://openalex.org/W147131300","https://openalex.org/W1176226425","https://openalex.org/W1480909796","https://openalex.org/W1487351738","https://openalex.org/W1493367105","https://openalex.org/W1493944701","https://openalex.org/W1498256026","https://openalex.org/W1532209667","https://openalex.org/W1535066875","https://openalex.org/W1546494787","https://openalex.org/W1551851178","https://openalex.org/W1563348382","https://openalex.org/W1787536085","https://openalex.org/W1799164503","https://openalex.org/W1821880317","https://openalex.org/W1945689202","https://openalex.org/W1967174286","https://openalex.org/W1968428133","https://openalex.org/W1973458874","https://openalex.org/W1976426006","https://openalex.org/W1981273171","https://openalex.org/W2002944460","https://openalex.org/W2011178105","https://openalex.org/W2020437202","https://openalex.org/W2023999667","https://openalex.org/W2027450089","https://openalex.org/W2030670832","https://openalex.org/W2031276295","https://openalex.org/W2031409637","https://openalex.org/W2035496804","https://openalex.org/W2039586513","https://openalex.org/W2051723391","https://openalex.org/W2055081868","https://openalex.org/W2081840025","https://openalex.org/W2095689360","https://openalex.org/W2101508170","https://openalex.org/W2116812482","https://openalex.org/W2123910665","https://openalex.org/W2128090891","https://openalex.org/W2133514269","https://openalex.org/W2153131284","https://openalex.org/W2164502223","https://openalex.org/W2222821827","https://openalex.org/W2293809538","https://openalex.org/W2296095876","https://openalex.org/W2397041770","https://openalex.org/W2623287016","https://openalex.org/W2919513305","https://openalex.org/W2963890454","https://openalex.org/W2964300199","https://openalex.org/W2965199304","https://openalex.org/W3038336498","https://openalex.org/W3099076450","https://openalex.org/W3099341308","https://openalex.org/W3102404299","https://openalex.org/W3157357863","https://openalex.org/W3157598257","https://openalex.org/W3186357476","https://openalex.org/W4205256996","https://openalex.org/W4206935265","https://openalex.org/W4235482987","https://openalex.org/W4244671708","https://openalex.org/W4246140018","https://openalex.org/W4248689402","https://openalex.org/W4289800030","https://openalex.org/W4309856647","https://openalex.org/W4317940153","https://openalex.org/W4384302160","https://openalex.org/W4388514837","https://openalex.org/W4390654832","https://openalex.org/W4393108178","https://openalex.org/W6912979978"],"related_works":["https://openalex.org/W1851760673","https://openalex.org/W3135280923","https://openalex.org/W1541391869","https://openalex.org/W2583260161","https://openalex.org/W2400855043","https://openalex.org/W2963029392","https://openalex.org/W2578463151","https://openalex.org/W2962945057","https://openalex.org/W2744775619","https://openalex.org/W1495032777"],"abstract_inverted_index":{"We":[0,135,252],"study":[1],"Satisfiability":[2],"Modulo":[3],"Theories":[4],"(SMT)":[5],"enriched":[6],"with":[7,90,149,154,221],"the":[8,14,21,120,238],"so-called":[9],"Ramsey":[10,63],"quantifiers,":[11],"which":[12,166,202],"assert":[13],"existence":[15],"of":[16,51,105,115,163,191,198,218,229,243,261],"cliques":[17],"(complete":[18],"graphs)":[19],"in":[20,35,98,119,195,207],"graph":[22],"induced":[23],"by":[24,131],"some":[25],"formulas.":[26,53],"The":[27],"extended":[28],"framework":[29],"is":[30,46,57,111,180,203],"known":[31],"to":[32,183],"have":[33],"applications":[34],"proving":[36],"program":[37],"termination":[38,146,235],"(in":[39,152],"particular,":[40,85],"whether":[41],"a":[42,58,103,116,124,141,181,192,234,258],"transitive":[43,125],"binary":[44],"predicate":[45,126],"well-founded),":[47],"and":[48,78,101,147,173,200,210,226,250],"monadic":[49,189,240],"decomposability":[50,190],"SMT":[52,68],"Our":[54,213],"main":[55],"result":[56,214],"new":[59],"algorithm":[60,96,242],"for":[61,144,159,237,247],"eliminating":[62],"quantifiers":[64],"from":[65],"three":[66],"common":[67],"theories:":[69],"Linear":[70,74,79],"Integer":[71,80],"Arithmetic":[72,76,82],"(LIA),":[73],"Real":[75,81],"(LRA),":[77],"(LIRA).":[83],"In":[84],"if":[86],"we":[87],"work":[88],"only":[89],"existentially":[91],"quantified":[92],"formulas,":[93],"then":[94],"our":[95,262],"runs":[97],"polynomial":[99],"time":[100],"produces":[102],"formula":[104,118],"linear":[106],"size.":[107],"One":[108],"immediate":[109,178],"consequence":[110,179],"that":[112],"checking":[113,188],"well-foundedness":[114],"given":[117,193],"aforementioned":[121],"theory":[122],"defining":[123],"can":[127],"be":[128],"straightforwardly":[129],"handled":[130],"highly":[132],"optimized":[133],"SMT-solvers.":[134,230],"show":[136],"also":[137,232],"how":[138],"this":[139,219],"provides":[140,233],"uniform":[142],"semi-algorithm":[143],"verifying":[145],"liveness":[148],"completeness":[150],"guarantee":[151,236],"fact,":[153],"an":[155,184,204,222],"optimal":[156,223],"computational":[157],"complexity)":[158],"several":[160],"well-known":[161],"classes":[162],"infinite-state":[164],"systems,":[165,170,172],"include":[167],"succinct":[168],"timed":[169],"one-counter":[171],"monotonic":[174],"counter":[175],"systems.":[176],"Another":[177],"solution":[182],"open":[185],"problem":[186,206,220],"on":[187,257,264],"relation":[194],"quantifier-free":[196],"fragments":[197],"LRA":[199],"LIRA,":[201],"important":[205],"automated":[208],"reasoning":[209],"constraint":[211],"databases.":[212],"immediately":[215],"implies":[216],"decidability":[217],"complexity":[224],"(coNP-complete)":[225],"enables":[227],"exploitation":[228],"It":[231],"generic":[239],"decomposition":[241],"Veanes":[244],"et":[245],"al.":[246],"LIA,":[248],"LRA,":[249],"LIRA.":[251],"report":[253],"encouraging":[254],"experimental":[255],"results":[256],"prototype":[259],"implementation":[260],"algorithms":[263],"micro-benchmarks.":[265]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
