{"id":"https://openalex.org/W4299514408","doi":"https://doi.org/10.1007/978-3-319-21401-6_42","title":"Linear Integer Arithmetic Revisited","display_name":"Linear Integer Arithmetic Revisited","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W4299514408","doi":"https://doi.org/10.1007/978-3-319-21401-6_42"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-21401-6_42","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-21401-6_42","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/A5069366068","display_name":"Martin Bromberger","orcid":"https://orcid.org/0000-0001-7256-2190"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Bromberger","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarbr\u00fccken, Germany","MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039342399","display_name":"Thomas Sturm","orcid":"https://orcid.org/0000-0002-8088-340X"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Sturm","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarbr\u00fccken, Germany","MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)","VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (France)","MOSEL - Proof-oriented development of computer-based systems (France)","Universit\u00e4t des Saarlandes [Saarbr\u00fccken] (Universit\u00e4t des Saarlandes Campus D-66123 Saarbr\u00fccken - Germany)"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"VERIDIS - Modeling and Verification of Distributed Algorithms and Systems (France)","institution_ids":[]},{"raw_affiliation_string":"MOSEL - Proof-oriented development of computer-based systems (France)","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e4t des Saarlandes [Saarbr\u00fccken] (Universit\u00e4t des Saarlandes Campus D-66123 Saarbr\u00fccken - Germany)","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046034681","display_name":"Christoph Weidenbach","orcid":"https://orcid.org/0000-0001-6002-0458"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Weidenbach","raw_affiliation_strings":["Max Planck Institute for Informatics, Saarbr\u00fccken, Germany","MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)"],"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Informatics, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"MPII - Max-Planck-Institut f\u00fcr Informatik (Campus E-1 4, 66123 Saarbr\u00fccken, Germany - Germany)","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069366068"],"corresponding_institution_ids":["https://openalex.org/I4210109712"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.7765,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.9100576,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"623","last_page":"637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9930999875068665,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9679999947547913,"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/decidability","display_name":"Decidability","score":0.7858972549438477},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7437722086906433},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6162763833999634},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5666370987892151},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.5324286818504333},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5173249244689941},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4716222286224365},{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.4450588822364807},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.43504905700683594},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.428560346364975},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4149250090122223},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.27218568325042725}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7858972549438477},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7437722086906433},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6162763833999634},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5666370987892151},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.5324286818504333},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5173249244689941},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4716222286224365},{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.4450588822364807},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.43504905700683594},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.428560346364975},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4149250090122223},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.27218568325042725},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-21401-6_42","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-21401-6_42","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W113043827","https://openalex.org/W147487200","https://openalex.org/W1513644114","https://openalex.org/W1545415851","https://openalex.org/W1556844982","https://openalex.org/W1975885036","https://openalex.org/W1992963060","https://openalex.org/W2008770192","https://openalex.org/W2021592352","https://openalex.org/W2022070887","https://openalex.org/W2076908710","https://openalex.org/W2097821910","https://openalex.org/W2103658959","https://openalex.org/W2159786179","https://openalex.org/W2496185699","https://openalex.org/W4246410616","https://openalex.org/W4299514408"],"related_works":["https://openalex.org/W4225592929","https://openalex.org/W3130346675","https://openalex.org/W4294016381","https://openalex.org/W2583753471","https://openalex.org/W2922024459","https://openalex.org/W2122700562","https://openalex.org/W2294297515","https://openalex.org/W1540595797","https://openalex.org/W1587864502","https://openalex.org/W1535925611"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
