{"id":"https://openalex.org/W1859059663","doi":"https://doi.org/10.1007/978-3-540-78499-9_33","title":"What Else Is Decidable about Integer Arrays?","display_name":"What Else Is Decidable about Integer Arrays?","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1859059663","doi":"https://doi.org/10.1007/978-3-540-78499-9_33","mag":"1859059663"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-78499-9_33","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-78499-9_33","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-78499-9_33.pdf","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":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-78499-9_33.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054351430","display_name":"Peter Habermehl","orcid":"https://orcid.org/0000-0002-7982-0946"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Peter Habermehl","raw_affiliation_strings":["LSV, ENS Cachan, CNRS, INRIA; 61 av. du Pr\u00e9sident Wilson, F-94230 Cachan, France, and LIAFA, University Paris 7, Case 7014, 75205 Paris Cedex 13,","LSV, ENS Cachan, CNRS, INRIA","61 av. du Pr\u00e9sident Wilson, F-94230 Cachan, France, and LIAFA, University Paris 7, Case 7014, 75205 Paris Cedex 13,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSV, ENS Cachan, CNRS, INRIA; 61 av. du Pr\u00e9sident Wilson, F-94230 Cachan, France, and LIAFA, University Paris 7, Case 7014, 75205 Paris Cedex 13,","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I204730241"]},{"raw_affiliation_string":"LSV, ENS Cachan, CNRS, INRIA","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"61 av. du Pr\u00e9sident Wilson, F-94230 Cachan, France, and LIAFA, University Paris 7, Case 7014, 75205 Paris Cedex 13,","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074143130","display_name":"Radu Iosif","orcid":"https://orcid.org/0000-0003-3204-3294"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Radu Iosif","raw_affiliation_strings":["VERIMAG,CNRS, 2 av. de Vignate, F-38610, Gi\u00e8res, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"VERIMAG,CNRS, 2 av. de Vignate, F-38610, Gi\u00e8res, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210156361"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086446392","display_name":"Tom\u00e1\u0161 Vojnar","orcid":"https://orcid.org/0000-0002-2746-8792"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tom\u00e1\u0161 Vojnar","raw_affiliation_strings":["FIT BUT, Bo\u017eet\u011bchova 2, CZ-61266, Brno, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FIT BUT, Bo\u017eet\u011bchova 2, CZ-61266, Brno, Czech Republic","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":56,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"474","last_page":"489"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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":0.9994999766349792,"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/T11567","display_name":"semigroups and automata theory","score":0.9991000294685364,"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":0.9984999895095825,"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":0.9223017692565918},{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.7653034925460815},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6555123925209045},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5810962319374084},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5766588449478149},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5700433850288391},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5212222337722778},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4566040337085724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.430758535861969},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3159346580505371},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2930662930011749},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09211269021034241},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07889080047607422}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.9223017692565918},{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.7653034925460815},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6555123925209045},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5810962319374084},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5766588449478149},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5700433850288391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5212222337722778},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4566040337085724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.430758535861969},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3159346580505371},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2930662930011749},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09211269021034241},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07889080047607422}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-540-78499-9_33","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-78499-9_33","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-78499-9_33.pdf","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:10.1.1.115.9434","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.115.9434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-verimag.imag.fr/~iosif/papers/arrayofintegers.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.92.3349","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.92.3349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.fit.vutbr.cz/~vojnar/Publications/hiv-arrays-tr-07.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01418914v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01418914","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":"Foundations of Software Science and Computational Structures, 11th International Conference, FOSSACS 2008, Mar 2008, Budapest, Hungary. &#x27E8;10.1007/978-3-540-78499-9_33&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1007/978-3-540-78499-9_33","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-78499-9_33","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-78499-9_33.pdf","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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7200000286102295}],"awards":[{"id":"https://openalex.org/G1534881702","display_name":"Analyse et v\u00e9rification de logiciels embarqu\u00e9s avec structures de m\u00e9moire dynamique","funder_award_id":"ANR-05-RNTL-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1859059663.pdf","grobid_xml":"https://content.openalex.org/works/W1859059663.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1480600454","https://openalex.org/W1511737804","https://openalex.org/W1532358383","https://openalex.org/W1536946401","https://openalex.org/W1545803195","https://openalex.org/W1556566737","https://openalex.org/W1560050980","https://openalex.org/W1572470107","https://openalex.org/W1589421353","https://openalex.org/W1853345069","https://openalex.org/W1859059663","https://openalex.org/W2000663597","https://openalex.org/W2012140001","https://openalex.org/W2034104058","https://openalex.org/W2092518806","https://openalex.org/W2132083063","https://openalex.org/W2132638915","https://openalex.org/W2132750992","https://openalex.org/W2154032363","https://openalex.org/W2169235184","https://openalex.org/W2170145744","https://openalex.org/W2324048832","https://openalex.org/W2602645338","https://openalex.org/W3181441684","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2752930545","https://openalex.org/W4225592929","https://openalex.org/W2040430117","https://openalex.org/W1562922633","https://openalex.org/W4294016381","https://openalex.org/W2583753471","https://openalex.org/W2922024459","https://openalex.org/W2122700562","https://openalex.org/W2109489765","https://openalex.org/W2506746226"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
