{"id":"https://openalex.org/W1599897266","doi":"https://doi.org/10.1007/3-540-45319-9_9","title":"A Technique for Invariant Generation","display_name":"A Technique for Invariant Generation","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1599897266","doi":"https://doi.org/10.1007/3-540-45319-9_9","mag":"1599897266"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45319-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45319-9_9","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086308451","display_name":"Ashish Tiwari","orcid":"https://orcid.org/0000-0002-5153-2686"},"institutions":[{"id":"https://openalex.org/I1298353152","display_name":"SRI International","ror":"https://ror.org/05s570m15","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1298353152"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Tiwari","raw_affiliation_strings":["SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA","SRI, International;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA","institution_ids":["https://openalex.org/I1298353152"]},{"raw_affiliation_string":"SRI, International;","institution_ids":["https://openalex.org/I1298353152"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050015090","display_name":"Harald Rue\u00df","orcid":"https://orcid.org/0000-0002-1405-2990"},"institutions":[{"id":"https://openalex.org/I1298353152","display_name":"SRI International","ror":"https://ror.org/05s570m15","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1298353152"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Rue\u00df","raw_affiliation_strings":["SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA","SRI, International;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA","institution_ids":["https://openalex.org/I1298353152"]},{"raw_affiliation_string":"SRI, International;","institution_ids":["https://openalex.org/I1298353152"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006364156","display_name":"H. Sa\u00efdi","orcid":"https://orcid.org/0000-0001-6769-4359"},"institutions":[{"id":"https://openalex.org/I1298353152","display_name":"SRI International","ror":"https://ror.org/05s570m15","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1298353152"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Sa\u00efdi","raw_affiliation_strings":["SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA","SRI, International;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA","institution_ids":["https://openalex.org/I1298353152"]},{"raw_affiliation_string":"SRI, International;","institution_ids":["https://openalex.org/I1298353152"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103207172","display_name":"Natarajan Shankar","orcid":"https://orcid.org/0000-0002-8652-8871"},"institutions":[{"id":"https://openalex.org/I1298353152","display_name":"SRI International","ror":"https://ror.org/05s570m15","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1298353152"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. Shankar","raw_affiliation_strings":["SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA","SRI, International;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA","institution_ids":["https://openalex.org/I1298353152"]},{"raw_affiliation_string":"SRI, International;","institution_ids":["https://openalex.org/I1298353152"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":6.6888,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.96596386,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"113","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991999864578247,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.998199999332428,"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/quantifier-elimination","display_name":"Quantifier elimination","score":0.8779675960540771},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.8043460845947266},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6200101971626282},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5731807947158813},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4526479244232178},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44255393743515015},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4361698031425476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42223310470581055},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42051243782043457},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4034351110458374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35481175780296326},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34324026107788086},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.18829351663589478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17638003826141357},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.051016271114349365}],"concepts":[{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.8779675960540771},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.8043460845947266},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6200101971626282},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5731807947158813},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4526479244232178},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44255393743515015},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4361698031425476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42223310470581055},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42051243782043457},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4034351110458374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35481175780296326},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34324026107788086},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18829351663589478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17638003826141357},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.051016271114349365}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-45319-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45319-9_9","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.141.1924","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.1924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csl.sri.com/papers/tacas01/tacas01.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.24.3074","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.3074","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.csl.sri.com/pub/users/shankar/tacas01.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W2852225","https://openalex.org/W120333500","https://openalex.org/W1483327805","https://openalex.org/W1491913687","https://openalex.org/W1540180001","https://openalex.org/W1556247398","https://openalex.org/W1568478782","https://openalex.org/W1570105559","https://openalex.org/W1599210792","https://openalex.org/W1606860058","https://openalex.org/W1964727056","https://openalex.org/W1968482350","https://openalex.org/W1983409972","https://openalex.org/W1987073197","https://openalex.org/W2043100293","https://openalex.org/W2045112813","https://openalex.org/W2075913776","https://openalex.org/W2080593426","https://openalex.org/W4285719527","https://openalex.org/W6628857289","https://openalex.org/W6635950276"],"related_works":["https://openalex.org/W3095068681","https://openalex.org/W2035631589","https://openalex.org/W1813686459","https://openalex.org/W2039279140","https://openalex.org/W1617297050","https://openalex.org/W1995150618","https://openalex.org/W3217399827","https://openalex.org/W2049666462","https://openalex.org/W2589479599","https://openalex.org/W1599897266"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}