{"id":"https://openalex.org/W4312267877","doi":"https://doi.org/10.1007/978-3-031-19992-9_9","title":"Handling Polynomial and\u00a0Transcendental Functions in\u00a0SMT via\u00a0Unconstrained Optimisation and\u00a0Topological Degree Test","display_name":"Handling Polynomial and\u00a0Transcendental Functions in\u00a0SMT via\u00a0Unconstrained Optimisation and\u00a0Topological Degree Test","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4312267877","doi":"https://doi.org/10.1007/978-3-031-19992-9_9"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-19992-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-19992-9_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":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11572/369588","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017426974","display_name":"Alessandro Cimatti","orcid":"https://orcid.org/0000-0002-1315-6990"},"institutions":[{"id":"https://openalex.org/I2277624104","display_name":"Fondazione Bruno Kessler","ror":"https://ror.org/01j33xk10","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2277624104"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Cimatti","raw_affiliation_strings":["Fondazione Bruno Kessler, Trento, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fondazione Bruno Kessler, Trento, Italy","institution_ids":["https://openalex.org/I2277624104"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038636493","display_name":"Alberto Griggio","orcid":"https://orcid.org/0000-0002-3311-0893"},"institutions":[{"id":"https://openalex.org/I2277624104","display_name":"Fondazione Bruno Kessler","ror":"https://ror.org/01j33xk10","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2277624104"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Griggio","raw_affiliation_strings":["Fondazione Bruno Kessler, Trento, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fondazione Bruno Kessler, Trento, Italy","institution_ids":["https://openalex.org/I2277624104"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034444681","display_name":"E. Lipparini","orcid":"https://orcid.org/0009-0009-0428-4403"},"institutions":[{"id":"https://openalex.org/I2277624104","display_name":"Fondazione Bruno Kessler","ror":"https://ror.org/01j33xk10","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2277624104"]},{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Enrico Lipparini","raw_affiliation_strings":["DIBRIS, University of Genoa, Genoa, Italy","Fondazione Bruno Kessler, Trento, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIBRIS, University of Genoa, Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]},{"raw_affiliation_string":"Fondazione Bruno Kessler, Trento, Italy","institution_ids":["https://openalex.org/I2277624104"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088301538","display_name":"Roberto Sebastiani","orcid":"https://orcid.org/0000-0002-0989-6101"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Sebastiani","raw_affiliation_strings":["DISI, University of Trento, Trento, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DISI, University of Trento, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034444681"],"corresponding_institution_ids":["https://openalex.org/I2277624104","https://openalex.org/I83816512"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.6179,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.91350124,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"137","last_page":"153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9988999962806702,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9988999962806702,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9901000261306763,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.8218930959701538},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6589627265930176},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6053646206855774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5801831483840942},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5589042901992798},{"id":"https://openalex.org/keywords/transcendental-number","display_name":"Transcendental number","score":0.5255298018455505},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4761195778846741},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4595997929573059},{"id":"https://openalex.org/keywords/transcendental-function","display_name":"Transcendental function","score":0.4356745481491089},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4172617495059967},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4142991304397583},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4121701121330261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37714675068855286},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34518784284591675},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3253765106201172},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.21880725026130676},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1025758683681488}],"concepts":[{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.8218930959701538},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6589627265930176},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6053646206855774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5801831483840942},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5589042901992798},{"id":"https://openalex.org/C188370112","wikidata":"https://www.wikidata.org/wiki/Q173091","display_name":"Transcendental number","level":2,"score":0.5255298018455505},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4761195778846741},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4595997929573059},{"id":"https://openalex.org/C43321923","wikidata":"https://www.wikidata.org/wiki/Q864333","display_name":"Transcendental function","level":2,"score":0.4356745481491089},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4172617495059967},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4142991304397583},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4121701121330261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37714675068855286},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34518784284591675},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3253765106201172},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.21880725026130676},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1025758683681488},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-031-19992-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-19992-9_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:iris.unige.it:11567/1145115","is_oa":false,"landing_page_url":"https://hdl.handle.net/11567/1145115","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:iris.unitn.it:11572/369588","is_oa":true,"landing_page_url":"https://hdl.handle.net/11572/369588","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:iris.unitn.it:11572/369588","is_oa":true,"landing_page_url":"https://hdl.handle.net/11572/369588","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W70797468","https://openalex.org/W221832247","https://openalex.org/W1128447031","https://openalex.org/W1480909796","https://openalex.org/W1483874187","https://openalex.org/W1496681274","https://openalex.org/W1507872748","https://openalex.org/W1609596465","https://openalex.org/W1835316325","https://openalex.org/W1986602910","https://openalex.org/W2005573219","https://openalex.org/W2011495999","https://openalex.org/W2035625898","https://openalex.org/W2063402394","https://openalex.org/W2094434555","https://openalex.org/W2163850966","https://openalex.org/W2166280160","https://openalex.org/W2277676404","https://openalex.org/W2484725950","https://openalex.org/W2730414357","https://openalex.org/W2889414920","https://openalex.org/W2963174033","https://openalex.org/W3010680447","https://openalex.org/W3104396105","https://openalex.org/W3183167184","https://openalex.org/W4229917934","https://openalex.org/W4234106318","https://openalex.org/W6753314051"],"related_works":["https://openalex.org/W1481108397","https://openalex.org/W1792497233","https://openalex.org/W2120451642","https://openalex.org/W4378448846","https://openalex.org/W4300089223","https://openalex.org/W3183290492","https://openalex.org/W4387814077","https://openalex.org/W2523571232","https://openalex.org/W3014029144","https://openalex.org/W2074397670"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2023-01-04T00:00:00"}
