{"id":"https://openalex.org/W2912670129","doi":"https://doi.org/10.1145/3385412.3385969","title":"Polynomial invariant generation for non-deterministic recursive programs","display_name":"Polynomial invariant generation for non-deterministic recursive programs","publication_year":2020,"publication_date":"2020-06-07","ids":{"openalex":"https://openalex.org/W2912670129","doi":"https://doi.org/10.1145/3385412.3385969","mag":"2912670129"},"language":"en","primary_location":{"id":"doi:10.1145/3385412.3385969","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3385412.3385969","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.04373","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052607806","display_name":"Krishnendu Chatterjee","orcid":"https://orcid.org/0000-0002-4561-241X"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Krishnendu Chatterjee","raw_affiliation_strings":["IST Austria, Austria","Institute of Science and Technology Austria"],"affiliations":[{"raw_affiliation_string":"IST Austria, Austria","institution_ids":["https://openalex.org/I157556583"]},{"raw_affiliation_string":"Institute of Science and Technology Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031020748","display_name":"Hongfei Fu","orcid":"https://orcid.org/0000-0002-7947-3446"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongfei Fu","raw_affiliation_strings":["Shanghai Jiao Tong University, China","Shanghai Jiao Tong University"],"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Shanghai Jiao Tong University","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005241421","display_name":"Amir Kafshdar Goharshady","orcid":"https://orcid.org/0000-0003-1702-6584"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Amir Kafshdar Goharshady","raw_affiliation_strings":["IST Austria, Austria","Institute of Science and Technology Austria"],"affiliations":[{"raw_affiliation_string":"IST Austria, Austria","institution_ids":["https://openalex.org/I157556583"]},{"raw_affiliation_string":"Institute of Science and Technology Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015265503","display_name":"Ehsan Kafshdar Goharshady","orcid":"https://orcid.org/0000-0002-8595-0587"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ehsan Kafshdar Goharshady","raw_affiliation_strings":["Ferdowsi University of Mashhad, Iran","Ferdowsi University of Mashhad, IRAN"],"affiliations":[{"raw_affiliation_string":"Ferdowsi University of Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]},{"raw_affiliation_string":"Ferdowsi University of Mashhad, IRAN","institution_ids":["https://openalex.org/I86958956"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052607806"],"corresponding_institution_ids":["https://openalex.org/I157556583"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01545723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"672","last_page":"687"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9988999962806702,"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":0.9988999962806702,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.996399998664856,"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":0.9858999848365784,"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/invariant","display_name":"Invariant (physics)","score":0.7009789347648621},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5884515047073364},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.48836466670036316},{"id":"https://openalex.org/keywords/invariant-polynomial","display_name":"Invariant polynomial","score":0.4457724392414093},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4382942020893097},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4236010015010834},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.40755605697631836},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37589752674102783},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.27783602476119995},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26278403401374817}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7009789347648621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5884515047073364},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.48836466670036316},{"id":"https://openalex.org/C134530390","wikidata":"https://www.wikidata.org/wiki/Q2920801","display_name":"Invariant polynomial","level":4,"score":0.4457724392414093},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4382942020893097},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4236010015010834},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.40755605697631836},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37589752674102783},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.27783602476119995},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26278403401374817},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1145/3385412.3385969","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3385412.3385969","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1902.04373","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.04373","pdf_url":"https://arxiv.org/pdf/1902.04373","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2912670129","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1902.04373","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-02015843v2","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02015843","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-02015843","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-02015843v3","is_oa":true,"landing_page_url":"https://hal.science/hal-02015843","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM SIGPLAN Conference on Programming Language Design and Implementation (PLDI), Jun 2020, London, United Kingdom","raw_type":"Conference papers"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-107090","is_oa":false,"landing_page_url":"http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=&rft.volume=&rft.issue=&rft.date=2020&rft.spage=672&rft.aulast=Chatterjee&rft.aufirst=&rft.atitle=Polynomial+invariant+generation+for+non-deterministic+recursive+programs&rft.title=Proceedings+of+the+ACM+SIGPLAN+Conference+on+Programming+Language+Design+and+Implementation+%28PLDI%29","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference paper"},{"id":"pmh:oai:repository.ust.hk:1783.1-107090","is_oa":false,"landing_page_url":"http://repository.ust.hk/ir/Record/1783.1-107090","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference paper"},{"id":"doi:10.48550/arxiv.1902.04373","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.04373","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.04373","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.04373","pdf_url":"https://arxiv.org/pdf/1902.04373","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2554063606","display_name":null,"funder_award_id":"ICT15-003","funder_id":"https://openalex.org/F4320321003","funder_display_name":"Vienna Science and Technology Fund"},{"id":"https://openalex.org/G2655136877","display_name":null,"funder_award_id":"S11407","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5139609884","display_name":null,"funder_award_id":"NFN S11407-N23 (RiSE/SHiNE)","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G5166406522","display_name":null,"funder_award_id":"(\u00d6AW)","funder_id":"https://openalex.org/F4320321004","funder_display_name":"\u00d6sterreichischen Akademie der Wissenschaften"},{"id":"https://openalex.org/G5475301337","display_name":null,"funder_award_id":"18022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5537170291","display_name":null,"funder_award_id":"61802254","funder_id":"https://openalex.org/F4320327720","funder_display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G683671635","display_name":null,"funder_award_id":"S11407-N23","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8184292771","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8579694314","display_name":null,"funder_award_id":"PhD Fellowship Program","funder_id":"https://openalex.org/F4320308737","funder_display_name":"Facebook"},{"id":"https://openalex.org/G8923503892","display_name":null,"funder_award_id":"61802254","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320308737","display_name":"Facebook","ror":"https://ror.org/01zbnvs85"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321003","display_name":"Vienna Science and Technology Fund","ror":"https://ror.org/01f9mc681"},{"id":"https://openalex.org/F4320321004","display_name":"\u00d6sterreichischen Akademie der Wissenschaften","ror":"https://ror.org/03anc3s24"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320327720","display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2912670129.pdf"},"referenced_works_count":81,"referenced_works":["https://openalex.org/W36793001","https://openalex.org/W42768900","https://openalex.org/W72346910","https://openalex.org/W120333500","https://openalex.org/W176675923","https://openalex.org/W217710249","https://openalex.org/W967948971","https://openalex.org/W1212796596","https://openalex.org/W1480909796","https://openalex.org/W1502028089","https://openalex.org/W1505135855","https://openalex.org/W1513694581","https://openalex.org/W1517192598","https://openalex.org/W1540180001","https://openalex.org/W1558356971","https://openalex.org/W1563374593","https://openalex.org/W1574151794","https://openalex.org/W1589297860","https://openalex.org/W1608799719","https://openalex.org/W1611084195","https://openalex.org/W1729037535","https://openalex.org/W1786112247","https://openalex.org/W1877129949","https://openalex.org/W1896502719","https://openalex.org/W1948975400","https://openalex.org/W1967091946","https://openalex.org/W1967845657","https://openalex.org/W1970168990","https://openalex.org/W1978884939","https://openalex.org/W1982538489","https://openalex.org/W1989556004","https://openalex.org/W2003141394","https://openalex.org/W2019750884","https://openalex.org/W2039205672","https://openalex.org/W2043100293","https://openalex.org/W2069300761","https://openalex.org/W2082387287","https://openalex.org/W2085352155","https://openalex.org/W2098045685","https://openalex.org/W2098278465","https://openalex.org/W2099629271","https://openalex.org/W2105443791","https://openalex.org/W2127637733","https://openalex.org/W2132661148","https://openalex.org/W2135384260","https://openalex.org/W2136333450","https://openalex.org/W2146178292","https://openalex.org/W2182185149","https://openalex.org/W2184410169","https://openalex.org/W2185676247","https://openalex.org/W2311603331","https://openalex.org/W2398327122","https://openalex.org/W2410019603","https://openalex.org/W2435583538","https://openalex.org/W2522017073","https://openalex.org/W2548604229","https://openalex.org/W2559883687","https://openalex.org/W2566919497","https://openalex.org/W2625924363","https://openalex.org/W2752885492","https://openalex.org/W2768683713","https://openalex.org/W2798909945","https://openalex.org/W2899269697","https://openalex.org/W2917891345","https://openalex.org/W2920846412","https://openalex.org/W2952940786","https://openalex.org/W2959121099","https://openalex.org/W2962968573","https://openalex.org/W2963164018","https://openalex.org/W2963258324","https://openalex.org/W2979551317","https://openalex.org/W3038928148","https://openalex.org/W3099373080","https://openalex.org/W3140308147","https://openalex.org/W3141205758","https://openalex.org/W3145128584","https://openalex.org/W4230551286","https://openalex.org/W4238983745","https://openalex.org/W4246575101","https://openalex.org/W4255442211","https://openalex.org/W6747248078"],"related_works":["https://openalex.org/W3033865919","https://openalex.org/W2734794793","https://openalex.org/W2099629271","https://openalex.org/W1829244690","https://openalex.org/W2951033777","https://openalex.org/W2949369139","https://openalex.org/W2108776051","https://openalex.org/W1549355248","https://openalex.org/W575850752","https://openalex.org/W2066257627","https://openalex.org/W1540704421","https://openalex.org/W3043812405","https://openalex.org/W3020698506","https://openalex.org/W2024997126","https://openalex.org/W3123906348","https://openalex.org/W2951972872","https://openalex.org/W1585927874","https://openalex.org/W1774599636","https://openalex.org/W2852668904","https://openalex.org/W2093528056"],"abstract_inverted_index":{"We":[0,26],"consider":[1],"the":[2],"classical":[3],"problem":[4],"of":[5,22],"invariant":[6],"generation":[7],"for":[8],"programs":[9],"with":[10],"polynomial":[11,24],"assignments":[12],"and":[13,30],"focus":[14],"on":[15,34],"synthesizing":[16],"invariants":[17],"that":[18,41],"are":[19],"a":[20,28,46],"conjunction":[21],"strict":[23],"inequalities.":[25],"present":[27],"sound":[29],"semi-complete":[31],"method":[32],"based":[33],"positivstellensaetze,":[35],"i.e.":[36],"theorems":[37],"in":[38],"semi-algebraic":[39,47],"geometry":[40],"characterize":[42],"positive":[43],"polynomials":[44],"over":[45],"set.":[48]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
