{"id":"https://openalex.org/W4384573135","doi":"https://doi.org/10.1007/978-3-031-37703-7_4","title":"Fast Approximations of\u00a0Quantifier Elimination","display_name":"Fast Approximations of\u00a0Quantifier Elimination","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4384573135","doi":"https://doi.org/10.1007/978-3-031-37703-7_4"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-37703-7_4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_4","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_4.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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038035949","display_name":"Isabel Garcia-Contreras","orcid":"https://orcid.org/0000-0001-6098-3895"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Isabel Garcia-Contreras","raw_affiliation_strings":["University of Waterloo, Waterloo, Canada"],"raw_orcid":"https://orcid.org/0000-0001-6098-3895","affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":null,"display_name":"V. K. Hari Govind","orcid":"https://orcid.org/0000-0002-2789-5997"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"V. K. Hari Govind","raw_affiliation_strings":["University of Waterloo, Waterloo, Canada"],"raw_orcid":"https://orcid.org/0000-0002-2789-5997","affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102884448","display_name":"Sharon Shoham","orcid":"https://orcid.org/0000-0002-7226-3526"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Sharon Shoham","raw_affiliation_strings":["Tel-Aviv University, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0002-7226-3526","affiliations":[{"raw_affiliation_string":"Tel-Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046834577","display_name":"Arie Gurfinkel","orcid":"https://orcid.org/0000-0002-5964-6792"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Arie Gurfinkel","raw_affiliation_strings":["University of Waterloo, Waterloo, Canada"],"raw_orcid":"https://orcid.org/0000-0002-5964-6792","affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038035949"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":6.7308,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97185185,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"64","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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":0.9998000264167786,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.9988999962806702,"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/quantifier-elimination","display_name":"Quantifier elimination","score":0.8573663234710693},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7373934984207153},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5925841927528381},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.5855957865715027},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.567736029624939},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5433254241943359},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5033058524131775},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.4962611794471741},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4823412597179413},{"id":"https://openalex.org/keywords/horn-clause","display_name":"Horn clause","score":0.45769625902175903},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3915576934814453},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2926342189311981},{"id":"https://openalex.org/keywords/prolog","display_name":"Prolog","score":0.25389009714126587},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22934165596961975},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20034843683242798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17822983860969543}],"concepts":[{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.8573663234710693},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7373934984207153},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5925841927528381},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.5855957865715027},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.567736029624939},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5433254241943359},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5033058524131775},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.4962611794471741},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4823412597179413},{"id":"https://openalex.org/C189790780","wikidata":"https://www.wikidata.org/wiki/Q933932","display_name":"Horn clause","level":3,"score":0.45769625902175903},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3915576934814453},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2926342189311981},{"id":"https://openalex.org/C81721847","wikidata":"https://www.wikidata.org/wiki/Q163468","display_name":"Prolog","level":2,"score":0.25389009714126587},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22934165596961975},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20034843683242798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17822983860969543},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-37703-7_4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_4","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_4.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","license_id":"https://openalex.org/licenses/cc-by","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:10.1007/978-3-031-37703-7_4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_4","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_4.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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G270514137","display_name":null,"funder_award_id":"1810/18","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G7942827090","display_name":null,"funder_award_id":"759102","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320308943","display_name":"Microsoft Research","ror":"https://ror.org/00d0nc645"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4384573135.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1128447031","https://openalex.org/W1480909796","https://openalex.org/W1481397690","https://openalex.org/W1570340440","https://openalex.org/W2032122497","https://openalex.org/W2055477538","https://openalex.org/W2105315191","https://openalex.org/W2140144076","https://openalex.org/W2150871888","https://openalex.org/W2152397470","https://openalex.org/W2164778826","https://openalex.org/W2293781769","https://openalex.org/W2514073783","https://openalex.org/W2572008600","https://openalex.org/W2618215639","https://openalex.org/W2904362559","https://openalex.org/W2950655732","https://openalex.org/W3099525000","https://openalex.org/W3105758081","https://openalex.org/W3117137355","https://openalex.org/W4290087357","https://openalex.org/W6698777470"],"related_works":["https://openalex.org/W4214737172","https://openalex.org/W3012938552","https://openalex.org/W2324712051","https://openalex.org/W2798639752","https://openalex.org/W1550311267","https://openalex.org/W4287825236","https://openalex.org/W1524103539","https://openalex.org/W1239946963","https://openalex.org/W1973527399","https://openalex.org/W2600774173"],"abstract_inverted_index":{"Abstract":[0],"Quantifier":[1],"elimination":[2],"(qelim)":[3],"is":[4,28,33],"used":[5,69,133],"in":[6,112,155],"many":[7],"automated":[8],"reasoning":[9],"tasks":[10,162],"including":[11],"program":[12],"synthesis,":[13],"exist-forall":[14],"solving,":[15],"quantified":[16,47],"SMT,":[17],"Model":[18],"Checking,":[19],"and":[20,63,94,143,151,157],"solving":[21],"Constrained":[22],"Horn":[23],"Clauses":[24],"(CHCs).":[25],"Exact":[26],"qelim":[27,57,66],"computationally":[29],"expensive.":[30],"Hence,":[31],"it":[32,159],"often":[34],"approximated.":[35],"For":[36],"example,":[37],"Z3":[38,156],"uses":[39,51],"\u201clight\u201d":[40],"pre-processing":[41],"to":[42,55,59,135],"reduce":[43],"the":[44,77,100,105,108,139],"number":[45],"of":[46,65,83,107,122,141],"variables.":[48],"CHC-solver":[49],"Spacer":[50],"model-based":[52,95],"projection":[53],"(MBP)":[54],"under-approximate":[56],"relative":[58],"a":[60,87,120],"given":[61],"model,":[62],"over-approximations":[64],"can":[67],"be":[68],"as":[70,119],"abstractions.":[71],"In":[72],"this":[73],"paper,":[74],"we":[75],"present":[76],"QEL":[78,85,97,134,150],"framework":[79],"for":[80,90,128,138],"fast":[81],"approximations":[82],"qelim.":[84],"provides":[86],"uniform":[88],"interface":[89],"both":[91],"quantifier":[92,117,166],"reduction":[93,118],"projection.":[96],"builds":[98],"on":[99,165],"egraph":[101],"data":[102],"structure":[103],"\u2013":[104,114],"core":[106],"EUF":[109],"decision":[110],"procedure":[111],"SMT":[113],"by":[115],"casting":[116],"problem":[121],"choosing":[123],"ground":[124],"(i.e.,":[125],"variable-free)":[126],"representatives":[127],"equivalence":[129],"classes.":[130],"We":[131,148],"have":[132],"implement":[136],"MBP":[137,154],"theories":[140],"Arrays":[142],"Algebraic":[144],"Data":[145],"Types":[146],"(ADTs).":[147],"integrated":[149],"our":[152],"new":[153],"evaluated":[158],"within":[160],"several":[161],"that":[163],"rely":[164],"approximations,":[167],"outperforming":[168],"state-of-the-art.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4}],"updated_date":"2026-05-23T08:51:43.019350","created_date":"2025-10-10T00:00:00"}
