{"id":"https://openalex.org/W2400826792","doi":"https://doi.org/10.29007/zfkw","title":"Program Verification via Craig Interpolation for Presburger Arithmetic with Arrays","display_name":"Program Verification via Craig Interpolation for Presburger Arithmetic with Arrays","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2400826792","doi":"https://doi.org/10.29007/zfkw","mag":"2400826792"},"language":"en","primary_location":{"id":"doi:10.29007/zfkw","is_oa":true,"landing_page_url":"https://doi.org/10.29007/zfkw","pdf_url":"https://easychair.org/publications/open/x7wp","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://easychair.org/publications/open/x7wp","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012660672","display_name":"Angelo Brillout","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["CH","GB"],"is_corresponding":true,"raw_author_name":"Angelo Brillout","raw_affiliation_strings":["Oxford University Computing Laboratory, United Kingdom","ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Oxford University Computing Laboratory, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086206346","display_name":"Daniel Kroening","orcid":"https://orcid.org/0000-0002-6681-5283"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["CH","GB"],"is_corresponding":false,"raw_author_name":"Daniel Kroening","raw_affiliation_strings":["Oxford University Computing Laboratory, United Kingdom","ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Oxford University Computing Laboratory, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022025835","display_name":"Philipp R\u00fcmmer","orcid":"https://orcid.org/0000-0002-2733-7098"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["CH","GB"],"is_corresponding":false,"raw_author_name":"Philipp R\u00fcmmer","raw_affiliation_strings":["Oxford University Computing Laboratory, United Kingdom","ETH Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Oxford University Computing Laboratory, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002008766","display_name":"Thomas Wahl","orcid":"https://orcid.org/0000-0003-3643-5463"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["CH","GB"],"is_corresponding":false,"raw_author_name":"Thomas Wahl","raw_affiliation_strings":["ETH Zurich, Switzerland","Oxford University Computing Laboratory, United Kingdom"],"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Oxford University Computing Laboratory, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012660672"],"corresponding_institution_ids":["https://openalex.org/I35440088","https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.2137,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.50984281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"31","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9986000061035156,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.9646062254905701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7447803616523743},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7333354949951172},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.6276652812957764},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.5927858352661133},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.5508426427841187},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.45731067657470703},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.43663424253463745},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4359336495399475},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41676560044288635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3785501718521118},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.23371919989585876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2003907561302185},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14338251948356628}],"concepts":[{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.9646062254905701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7447803616523743},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7333354949951172},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6276652812957764},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.5927858352661133},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.5508426427841187},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.45731067657470703},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.43663424253463745},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4359336495399475},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41676560044288635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3785501718521118},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.23371919989585876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2003907561302185},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14338251948356628},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.29007/zfkw","is_oa":true,"landing_page_url":"https://doi.org/10.29007/zfkw","pdf_url":"https://easychair.org/publications/open/x7wp","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.29007/zfkw","is_oa":true,"landing_page_url":"https://doi.org/10.29007/zfkw","pdf_url":"https://easychair.org/publications/open/x7wp","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8641127484","display_name":"Efficient Verification of Software with Replicated Components","funder_award_id":"EP/G026254/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2400826792.pdf","grobid_xml":"https://content.openalex.org/works/W2400826792.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W134673781","https://openalex.org/W1517192598","https://openalex.org/W1528842614","https://openalex.org/W1531054827","https://openalex.org/W1554618854","https://openalex.org/W1565898282","https://openalex.org/W1582116296","https://openalex.org/W1777025722","https://openalex.org/W1810306334","https://openalex.org/W1832354128","https://openalex.org/W1980102547","https://openalex.org/W2055477538","https://openalex.org/W2071365289","https://openalex.org/W2080841971","https://openalex.org/W2084294613","https://openalex.org/W2098244894","https://openalex.org/W2108607160","https://openalex.org/W2115207428","https://openalex.org/W2896261071","https://openalex.org/W3181441684","https://openalex.org/W4231252310","https://openalex.org/W4236684541","https://openalex.org/W4301968143"],"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/W1983967297","https://openalex.org/W2161485500","https://openalex.org/W1519123794","https://openalex.org/W4297923607"],"abstract_inverted_index":{"Craig":[0],"interpolation":[1,29,96],"has":[2],"become":[3],"a":[4,27,64],"versatile":[5],"tool":[6],"in":[7,10,16,63,110],"formal":[8],"verification,":[9],"particular":[11],"for":[12,31,40,68],"generating":[13],"intermediate":[14],"assertions":[15],"safety":[17],"analysis":[18],"and":[19],"model":[20,66,76,83],"checking.":[21],"In":[22],"this":[23,54,61],"paper,":[24],"we":[25,112],"present":[26],"novel":[28],"procedure":[30,62,97],"the":[32,41,58,75,99,118],"theory":[33,43],"of":[34,44,60,74,101,120],"arrays,":[35],"extending":[36],"an":[37,87],"interpolating":[38],"calculus":[39],"full":[42],"quantifier-free":[45],"Presburger":[46,90],"arithmetic,":[47],"which":[48],"will":[49],"be":[50],"presented":[51],"at":[52],"IJCAR":[53],"year.":[55],"We":[56],"investigate":[57],"use":[59],"software":[65],"checker":[67,77],"C":[69],"programs.":[70],"A":[71],"distinguishing":[72],"feature":[73],"is":[78],"its":[79],"ability":[80],"to":[81,116],"faithfully":[82],"machine":[84],"arithmetic":[85,91],"with":[86,92],"encoding":[88],"into":[89],"uninterpreted":[93],"predicates.":[94],"The":[95],"allows":[98],"synthesis":[100],"quantified":[102],"invariants":[103],"about":[104],"arrays.":[105],"This":[106],"paper":[107],"presents":[108],"work":[109],"progress;":[111],"include":[113],"initial":[114],"experiments":[115],"demonstrate":[117],"potential":[119],"our":[121],"method.":[122]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}