{"id":"https://openalex.org/W4400939669","doi":"https://doi.org/10.1007/978-3-031-65630-9_5","title":"Efficient Implementation of\u00a0an\u00a0Abstract Domain of\u00a0Quantified First-Order Formulas","display_name":"Efficient Implementation of\u00a0an\u00a0Abstract Domain of\u00a0Quantified First-Order Formulas","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400939669","doi":"https://doi.org/10.1007/978-3-031-65630-9_5"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-65630-9_5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-65630-9_5","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-65630-9_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","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/10.1007/978-3-031-65630-9_5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105014093","display_name":"Eden Frenkel","orcid":"https://orcid.org/0009-0009-4589-2173"},"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":true,"raw_author_name":"Eden Frenkel","raw_affiliation_strings":["Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":"https://orcid.org/0009-0009-4589-2173","affiliations":[{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010436566","display_name":"Tej Chajed","orcid":"https://orcid.org/0000-0002-9889-4828"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tej Chajed","raw_affiliation_strings":["University of Wisconsin-Madison, Madison, WI, USA"],"raw_orcid":"https://orcid.org/0000-0002-9889-4828","affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064997169","display_name":"Oded Padon","orcid":"https://orcid.org/0009-0006-4209-1635"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oded Padon","raw_affiliation_strings":["VMware Research, Palo Alto, CA, USA"],"raw_orcid":"https://orcid.org/0009-0006-4209-1635","affiliations":[{"raw_affiliation_string":"VMware Research, Palo Alto, CA, USA","institution_ids":[]}]},{"author_position":"last","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"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5105014093"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":2.8855,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.89537815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"86","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991000294685364,"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":0.9991000294685364,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9983000159263611,"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/T11549","display_name":"Synthetic Organic Chemistry Methods","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7761760950088501},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.678652286529541},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.544590175151825},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.506510853767395},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.4929973781108856},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.43330925703048706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13200417160987854}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7761760950088501},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.678652286529541},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.544590175151825},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.506510853767395},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.4929973781108856},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.43330925703048706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13200417160987854},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-65630-9_5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-65630-9_5","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-65630-9_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","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:10.1007/978-3-031-65630-9_5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-65630-9_5","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-65630-9_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","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400939669.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W100246148","https://openalex.org/W1480909796","https://openalex.org/W1500085611","https://openalex.org/W1710734607","https://openalex.org/W2014764321","https://openalex.org/W2043100293","https://openalex.org/W2146077028","https://openalex.org/W2410019603","https://openalex.org/W2598582440","https://openalex.org/W2603705845","https://openalex.org/W2777169505","https://openalex.org/W2808604898","https://openalex.org/W2889462571","https://openalex.org/W2909108078","https://openalex.org/W2963870476","https://openalex.org/W2981638325","https://openalex.org/W3021960956","https://openalex.org/W3143365608","https://openalex.org/W3164884335","https://openalex.org/W3195634196","https://openalex.org/W4206079487","https://openalex.org/W4225889696","https://openalex.org/W4225922019","https://openalex.org/W4297415612","https://openalex.org/W4397028871","https://openalex.org/W6967629632"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2119447376","https://openalex.org/W2611090506","https://openalex.org/W2096990506","https://openalex.org/W167896555","https://openalex.org/W4253081550","https://openalex.org/W3022909958","https://openalex.org/W1774989331","https://openalex.org/W1968208713"],"abstract_inverted_index":{"Abstract":[0],"This":[1,24],"paper":[2],"lays":[3],"a":[4,63,91,116,131],"practical":[5],"foundation":[6],"for":[7,145,150],"using":[8],"abstract":[9,13,25,56,85,99,128],"interpretation":[10],"with":[11,87,159],"an":[12,52,84],"domain":[14,26],"that":[15,68,120],"consists":[16],"of":[17,19,36,44,46,55,83,90,98,104,125,130],"sets":[18,45],"quantified":[20],"first-order":[21],"logic":[22],"formulas.":[23],"seems":[27],"infeasible":[28],"at":[29,143],"first":[30],"sight":[31],"due":[32],"to":[33,78,114,136,185],"the":[34,37,41,81,88,96,105,122,126,137,147],"complexity":[35],"formulas":[38,47,158],"involved":[39],"and":[40,75,112],"enormous":[42],"size":[43],"(abstract":[48],"elements).":[49],"We":[50,72,141],"introduce":[51],"efficient":[53],"representation":[54,97,155],"elements,":[57],"which":[58,134],"eliminates":[59],"redundancies":[60],"based":[61],"on":[62,95],"novel":[64],"syntactic":[65],"subsumption":[66],"relation":[67],"under-approximates":[69],"semantic":[70],"entailment.":[71],"develop":[73],"algorithms":[74,113],"data":[76,110],"structures":[77,111],"efficiently":[79],"compute":[80],"join":[82],"element":[86],"abstraction":[89,118],"concrete":[92],"state,":[93],"operating":[94],"elements.":[100],"To":[101],"demonstrate":[102],"feasibility":[103],"domain,":[106],"we":[107],"use":[108],"our":[109,154],"implement":[115],"symbolic":[117],"algorithm":[119],"computes":[121],"least":[123,148],"fixpoint":[124,149],"best":[127],"transformer":[129],"transition":[132],"system,":[133],"corresponds":[135],"strongest":[138],"inductive":[139],"invariant.":[140],"succeed":[142],"finding,":[144],"example,":[146],"Paxos":[151],"(which":[152],"in":[153,182],"has":[156],"1,438":[157],"$$\\forall":[160],"^*\\exists":[161],"^*\\forall":[162],"^*$$":[163],"<mml:math":[164],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[165],"<mml:mrow>":[166],"<mml:msup>":[167,171,175],"<mml:mo>\u2200</mml:mo>":[168,176],"<mml:mo>\u2217</mml:mo>":[169,173,177],"</mml:msup>":[170,174,178],"<mml:mo>\u2203</mml:mo>":[172],"</mml:mrow>":[179],"</mml:math>":[180],"quantification)":[181],"time":[183],"comparable":[184],"state-of-the-art":[186],"property-directed":[187],"approaches.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
