{"id":"https://openalex.org/W4400166102","doi":"https://doi.org/10.1007/978-3-031-63498-7_16","title":"Model Completeness for\u00a0Rational Trees","display_name":"Model Completeness for\u00a0Rational Trees","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400166102","doi":"https://doi.org/10.1007/978-3-031-63498-7_16"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-63498-7_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-63498-7_16","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-63498-7_16.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-63498-7_16.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041352997","display_name":"Silvio Ghilardi","orcid":"https://orcid.org/0000-0001-6449-6883"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Silvio Ghilardi","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 degli Studi di Milano, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Milano, Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5099722406","display_name":"Lia M. Poidomani","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lia M. Poidomani","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 degli Studi di Milano, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Milano, Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041352997"],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30521504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"265","last_page":"283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9969000220298767,"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/computer-science","display_name":"Computer science","score":0.7922913432121277},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7616736888885498},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.397138774394989},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.38751649856567383},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3835926055908203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1391703486442566}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7922913432121277},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7616736888885498},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.397138774394989},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.38751649856567383},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3835926055908203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1391703486442566},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-031-63498-7_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-63498-7_16","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-63498-7_16.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:air.unimi.it:2434/1087548","is_oa":true,"landing_page_url":"https://hdl.handle.net/2434/1087548","pdf_url":"https://air.unimi.it/bitstream/2434/1087548/2/Model_Completeness_for_Rational_Trees.pdf","source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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":"","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-63498-7_16","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-63498-7_16","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-63498-7_16.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":0.75}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400166102.pdf","grobid_xml":"https://content.openalex.org/works/W4400166102.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1521601675","https://openalex.org/W1543209374","https://openalex.org/W1543732613","https://openalex.org/W1565898282","https://openalex.org/W1567682528","https://openalex.org/W1602567617","https://openalex.org/W1964068339","https://openalex.org/W1999346653","https://openalex.org/W2010104109","https://openalex.org/W2080841971","https://openalex.org/W2093677637","https://openalex.org/W2096975981","https://openalex.org/W2138865396","https://openalex.org/W2153131284","https://openalex.org/W2168682577","https://openalex.org/W2521292622"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W4237277701","https://openalex.org/W2121424666","https://openalex.org/W2390279801","https://openalex.org/W1587028174","https://openalex.org/W2358668433","https://openalex.org/W4301250310","https://openalex.org/W2030928163","https://openalex.org/W4396701345"],"abstract_inverted_index":{"Abstract":[0],"We":[1,19,33],"analyze":[2],"the":[3,37,40],"theory":[4,30],"of":[5,39],"rational":[6],"trees":[7],"with":[8,42],"finitely":[9],"many":[10,13],"constructors,":[11],"infinitely":[12],"atoms":[14],"and":[15,44],"an":[16],"atomicity":[17],"predicate.":[18],"design":[20],"a":[21],"new":[22],"decision":[23],"procedure,":[24],"proving":[25],"in":[26],"addition":[27],"that":[28,36],"this":[29],"is":[31],"model-complete.":[32],"also":[34],"show":[35],"enrichment":[38],"language":[41],"selectors":[43],"simultaneous":[45],"parametric":[46],"fixpoints":[47],"enjoys":[48],"quantifier":[49],"elimination.":[50]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
