{"id":"https://openalex.org/W2071363587","doi":"https://doi.org/10.1007/s10992-011-9197-z","title":"System of Spheres-based Multiple Contractions","display_name":"System of Spheres-based Multiple Contractions","publication_year":2011,"publication_date":"2011-06-03","ids":{"openalex":"https://openalex.org/W2071363587","doi":"https://doi.org/10.1007/s10992-011-9197-z","mag":"2071363587"},"language":"en","primary_location":{"id":"doi:10.1007/s10992-011-9197-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10992-011-9197-z","pdf_url":null,"source":{"id":"https://openalex.org/S161120620","display_name":"Journal of Philosophical Logic","issn_l":"0022-3611","issn":["0022-3611","1573-0433"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Philosophical Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10400.13/3448","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021273410","display_name":"Eduardo Ferm\u00e9","orcid":"https://orcid.org/0000-0002-9618-2421"},"institutions":[{"id":"https://openalex.org/I58028834","display_name":"Universidade da Madeira","ror":"https://ror.org/0442zbe52","country_code":"PT","type":"education","lineage":["https://openalex.org/I58028834"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Eduardo Ferm\u00e9","raw_affiliation_strings":["Madeira Interactive Technologies Institute, Universidade da Madeira, Funchal, Portugal"],"affiliations":[{"raw_affiliation_string":"Madeira Interactive Technologies Institute, Universidade da Madeira, Funchal, Portugal","institution_ids":["https://openalex.org/I58028834"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026915937","display_name":"Maur\u00edcio D. L. Reis","orcid":"https://orcid.org/0000-0001-7437-8354"},"institutions":[{"id":"https://openalex.org/I58028834","display_name":"Universidade da Madeira","ror":"https://ror.org/0442zbe52","country_code":"PT","type":"education","lineage":["https://openalex.org/I58028834"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Maur\u00edcio D. L. Reis","raw_affiliation_strings":["Centro de Ci\u00eancias Exactas e da Engenharia, Universidade da Madeira, Funchal, Portugal","Madeira Interactive Technologies Institute, Universidade da Madeira, Funchal, Portugal"],"affiliations":[{"raw_affiliation_string":"Centro de Ci\u00eancias Exactas e da Engenharia, Universidade da Madeira, Funchal, Portugal","institution_ids":["https://openalex.org/I58028834"]},{"raw_affiliation_string":"Madeira Interactive Technologies Institute, Universidade da Madeira, Funchal, Portugal","institution_ids":["https://openalex.org/I58028834"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021273410"],"corresponding_institution_ids":["https://openalex.org/I58028834"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":3.9472,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.93745898,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"41","issue":"1","first_page":"29","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9980999827384949,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9905999898910522,"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/singleton","display_name":"Singleton","score":0.879320502281189},{"id":"https://openalex.org/keywords/subclass","display_name":"Subclass","score":0.7971947193145752},{"id":"https://openalex.org/keywords/spheres","display_name":"SPHERES","score":0.7843852043151855},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6437386274337769},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5876071453094482},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.5426691770553589},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46486812829971313},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39817994832992554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3302617073059082},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3224697411060333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23966720700263977},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15698382258415222},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15321704745292664},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08651351928710938},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0589851438999176}],"concepts":[{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.879320502281189},{"id":"https://openalex.org/C2776194381","wikidata":"https://www.wikidata.org/wiki/Q3965271","display_name":"Subclass","level":3,"score":0.7971947193145752},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.7843852043151855},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6437386274337769},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5876071453094482},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5426691770553589},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46486812829971313},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39817994832992554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3302617073059082},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3224697411060333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23966720700263977},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15698382258415222},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15321704745292664},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08651351928710938},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0589851438999176},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C159654299","wikidata":"https://www.wikidata.org/wiki/Q79460","display_name":"Antibody","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10992-011-9197-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10992-011-9197-z","pdf_url":null,"source":{"id":"https://openalex.org/S161120620","display_name":"Journal of Philosophical Logic","issn_l":"0022-3611","issn":["0022-3611","1573-0433"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Philosophical Logic","raw_type":"journal-article"},{"id":"pmh:oai:digituma.uma.pt:10400.13/3448","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.13/3448","pdf_url":null,"source":{"id":"https://openalex.org/S4306401803","display_name":"Digituma (University of Madeira)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I58028834","host_organization_name":"Universidade da Madeira","host_organization_lineage":["https://openalex.org/I58028834"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:digituma.uma.pt:10400.13/3448","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.13/3448","pdf_url":null,"source":{"id":"https://openalex.org/S4306401803","display_name":"Digituma (University of Madeira)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I58028834","host_organization_name":"Universidade da Madeira","host_organization_lineage":["https://openalex.org/I58028834"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W156961058","https://openalex.org/W584894893","https://openalex.org/W1521968029","https://openalex.org/W1530415903","https://openalex.org/W1593008996","https://openalex.org/W1972689493","https://openalex.org/W2000330792","https://openalex.org/W2000442893","https://openalex.org/W2003192160","https://openalex.org/W2006162039","https://openalex.org/W2068247500","https://openalex.org/W2100225987","https://openalex.org/W2122708620","https://openalex.org/W2127016599","https://openalex.org/W2129275996","https://openalex.org/W2149420462","https://openalex.org/W2230037238","https://openalex.org/W4231575501","https://openalex.org/W6679061332"],"related_works":["https://openalex.org/W747331120","https://openalex.org/W2351588585","https://openalex.org/W3135151721","https://openalex.org/W4233660055","https://openalex.org/W2076370897","https://openalex.org/W2906951486","https://openalex.org/W316900803","https://openalex.org/W3125437892","https://openalex.org/W2025265121","https://openalex.org/W1965730239"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
