{"id":"https://openalex.org/W2742358887","doi":"https://doi.org/10.1007/978-3-319-66263-3_24","title":"A Benders Decomposition Approach to Deciding Modular Linear Integer Arithmetic","display_name":"A Benders Decomposition Approach to Deciding Modular Linear Integer Arithmetic","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2742358887","doi":"https://doi.org/10.1007/978-3-319-66263-3_24","mag":"2742358887"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-66263-3_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66263-3_24","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/A5031939019","display_name":"Bishoksan Kafle","orcid":"https://orcid.org/0000-0001-5191-1216"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Bishoksan Kafle","raw_affiliation_strings":["School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014363196","display_name":"Graeme Gange","orcid":"https://orcid.org/0000-0002-1354-431X"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Graeme Gange","raw_affiliation_strings":["School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049776257","display_name":"Peter Schachte","orcid":"https://orcid.org/0000-0001-5959-3769"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Peter Schachte","raw_affiliation_strings":["School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090766093","display_name":"Harald S\u00f8ndergaard","orcid":"https://orcid.org/0000-0002-2352-1883"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Harald S\u00f8ndergaard","raw_affiliation_strings":["School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064839018","display_name":"Peter J. Stuckey","orcid":"https://orcid.org/0000-0003-2186-0459"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Peter J. Stuckey","raw_affiliation_strings":["School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing and Information Systems, The University of Melbourne, Melbourne, VIC, 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5031939019"],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2826,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56951337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"380","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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/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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9929999709129333,"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/soundness","display_name":"Soundness","score":0.8002126216888428},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6708047986030579},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.6492244601249695},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6437550187110901},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6052035689353943},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"Arbitrary-precision arithmetic","score":0.5801525115966797},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5603106617927551},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4846971035003662},{"id":"https://openalex.org/keywords/saturation-arithmetic","display_name":"Saturation arithmetic","score":0.4507758617401123},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.4370483458042145},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4321656823158264},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.36823976039886475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3238600492477417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28267455101013184}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8002126216888428},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6708047986030579},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.6492244601249695},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6437550187110901},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6052035689353943},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.5801525115966797},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5603106617927551},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4846971035003662},{"id":"https://openalex.org/C182775192","wikidata":"https://www.wikidata.org/wiki/Q913725","display_name":"Saturation arithmetic","level":3,"score":0.4507758617401123},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.4370483458042145},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4321656823158264},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.36823976039886475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3238600492477417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28267455101013184},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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:10.1007/978-3-319-66263-3_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-66263-3_24","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W106975502","https://openalex.org/W177940266","https://openalex.org/W221832247","https://openalex.org/W926864568","https://openalex.org/W967948971","https://openalex.org/W1128447031","https://openalex.org/W1480909796","https://openalex.org/W1505872263","https://openalex.org/W1507039213","https://openalex.org/W1508945008","https://openalex.org/W1518247129","https://openalex.org/W1533439771","https://openalex.org/W1579437898","https://openalex.org/W1598706103","https://openalex.org/W1611084195","https://openalex.org/W1618508801","https://openalex.org/W1757339714","https://openalex.org/W1853199847","https://openalex.org/W1895387792","https://openalex.org/W1985329511","https://openalex.org/W2044121814","https://openalex.org/W2095210125","https://openalex.org/W2110804891","https://openalex.org/W2115207428","https://openalex.org/W2129487583","https://openalex.org/W2132796821","https://openalex.org/W2133520239","https://openalex.org/W2148680350","https://openalex.org/W2152498238","https://openalex.org/W2159525740","https://openalex.org/W2159595840","https://openalex.org/W2278821771","https://openalex.org/W2465314249","https://openalex.org/W2468832334","https://openalex.org/W3145128584","https://openalex.org/W4231252310","https://openalex.org/W4243348248","https://openalex.org/W4246219036","https://openalex.org/W4246691913"],"related_works":["https://openalex.org/W2131286165","https://openalex.org/W2426876014","https://openalex.org/W4294326371","https://openalex.org/W2061436543","https://openalex.org/W50302539","https://openalex.org/W2587849783","https://openalex.org/W2421435397","https://openalex.org/W1535832840","https://openalex.org/W2164110602","https://openalex.org/W2128847964"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}