{"id":"https://openalex.org/W2771060834","doi":"https://doi.org/10.1007/978-3-319-72056-2_22","title":"Interpretations of Presburger Arithmetic in Itself","display_name":"Interpretations of Presburger Arithmetic in Itself","publication_year":2017,"publication_date":"2017-11-27","ids":{"openalex":"https://openalex.org/W2771060834","doi":"https://doi.org/10.1007/978-3-319-72056-2_22","mag":"2771060834"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-72056-2_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-72056-2_22","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/A5008328802","display_name":"Alexander Zapryagaev","orcid":"https://orcid.org/0000-0002-6933-2463"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander Zapryagaev","raw_affiliation_strings":["Steklov Mathematical Institute, Russian Academy of Sciences, 8, Gubkina Street, Moscow, 119991, Russian Federation"],"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute, Russian Academy of Sciences, 8, Gubkina Street, Moscow, 119991, Russian Federation","institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I1313323035"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064019679","display_name":"Fedor Pakhomov","orcid":"https://orcid.org/0000-0002-9629-9259"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Fedor Pakhomov","raw_affiliation_strings":["Steklov Mathematical Institute, Russian Academy of Sciences, 8, Gubkina Street, Moscow, 119991, Russian Federation"],"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute, Russian Academy of Sciences, 8, Gubkina Street, Moscow, 119991, Russian Federation","institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008328802"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I2801160905"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.3398,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.93563487,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"354","last_page":"367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9993000030517578,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.994700014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/presburger-arithmetic","display_name":"Presburger arithmetic","score":0.6375168561935425},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5628596544265747},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5236494541168213},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.523228108882904},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5066912770271301},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5062252879142761},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.46280330419540405},{"id":"https://openalex.org/keywords/hausdorff-dimension","display_name":"Hausdorff dimension","score":0.454362690448761},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.4376249313354492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4290132522583008},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.4267447590827942},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.41125473380088806},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31972283124923706},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2652525305747986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17669335007667542},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09479120373725891}],"concepts":[{"id":"https://openalex.org/C5852641","wikidata":"https://www.wikidata.org/wiki/Q956059","display_name":"Presburger arithmetic","level":3,"score":0.6375168561935425},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5628596544265747},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5236494541168213},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.523228108882904},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5066912770271301},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5062252879142761},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.46280330419540405},{"id":"https://openalex.org/C194198291","wikidata":"https://www.wikidata.org/wiki/Q565186","display_name":"Hausdorff dimension","level":2,"score":0.454362690448761},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.4376249313354492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4290132522583008},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.4267447590827942},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.41125473380088806},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31972283124923706},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2652525305747986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17669335007667542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09479120373725891},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-72056-2_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-72056-2_22","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:archive.ugent.be:8735657","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/8735657","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN: 9783319720562","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1026721552","https://openalex.org/W1517710889","https://openalex.org/W1572451808","https://openalex.org/W1959501033","https://openalex.org/W1964766966","https://openalex.org/W1964874178","https://openalex.org/W1988899858","https://openalex.org/W2006957482","https://openalex.org/W2008119321","https://openalex.org/W2033186040","https://openalex.org/W2045583484","https://openalex.org/W2051402262","https://openalex.org/W2167290475","https://openalex.org/W2964100555","https://openalex.org/W4211036707","https://openalex.org/W4238977241"],"related_works":["https://openalex.org/W4297923607","https://openalex.org/W2341851659","https://openalex.org/W2963029392","https://openalex.org/W2793442860","https://openalex.org/W2763916671","https://openalex.org/W1851760673","https://openalex.org/W2958635970","https://openalex.org/W2753142422","https://openalex.org/W2963080453","https://openalex.org/W2008796796"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}