{"id":"https://openalex.org/W1676888250","doi":"https://doi.org/10.1007/3-540-54233-7_163","title":"Two P-complete problems in the theory of the reals","display_name":"Two P-complete problems in the theory of the reals","publication_year":1991,"publication_date":"1991-01-01","ids":{"openalex":"https://openalex.org/W1676888250","doi":"https://doi.org/10.1007/3-540-54233-7_163","mag":"1676888250"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-54233-7_163","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-54233-7_163","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079608792","display_name":"Felipe Cucker","orcid":"https://orcid.org/0000-0002-4569-3248"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Cucker","raw_affiliation_strings":["Dept. L.S.I., Univ. Polit\u00e8cnica de Catalunya, 08028, Barcelona, Spain","Univ. Polit\u00e8cnica de Catalunya"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. L.S.I., Univ. Polit\u00e8cnica de Catalunya, 08028, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Univ. Polit\u00e8cnica de Catalunya","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078978217","display_name":"A. Torrecillas","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Torrecillas","raw_affiliation_strings":["Dept. Matem\u00e0tica Aplicada II, Univ. Polit\u00e8cnica de Catalunya, 08028, Barcelona, Spain","Departament de Mat\u00e8matica Aplicada 11, Universitat Politec\u0300nica de Catalunya, Barcelona 08028, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e0tica Aplicada II, Univ. Polit\u00e8cnica de Catalunya, 08028, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Departament de Mat\u00e8matica Aplicada 11, Universitat Politec\u0300nica de Catalunya, Barcelona 08028, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"556","last_page":"565"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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/T10720","display_name":"Complexity and Algorithms in Graphs","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/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"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/decidability","display_name":"Decidability","score":0.5589717626571655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.547696053981781},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.5149019956588745},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.5135703086853027},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4912554621696472},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4756357669830322},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4616459906101227},{"id":"https://openalex.org/keywords/computability-theory","display_name":"Computability theory","score":0.44134214520454407},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.44034209847450256},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.43437039852142334},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4338114261627197},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.43191832304000854},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4203249216079712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3788306713104248},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37769487500190735}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.5589717626571655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.547696053981781},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.5149019956588745},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.5135703086853027},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4912554621696472},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4756357669830322},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4616459906101227},{"id":"https://openalex.org/C111142201","wikidata":"https://www.wikidata.org/wiki/Q818930","display_name":"Computability theory","level":2,"score":0.44134214520454407},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44034209847450256},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.43437039852142334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4338114261627197},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.43191832304000854},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4203249216079712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3788306713104248},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37769487500190735},{"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/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-54233-7_163","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-54233-7_163","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W574660464","https://openalex.org/W1655990431","https://openalex.org/W1967575173","https://openalex.org/W1975790950","https://openalex.org/W1999647826","https://openalex.org/W2005314985","https://openalex.org/W2059985428","https://openalex.org/W2071846104","https://openalex.org/W2170975953","https://openalex.org/W2173866771","https://openalex.org/W2402054513","https://openalex.org/W2911302472","https://openalex.org/W6665422471"],"related_works":["https://openalex.org/W2478153408","https://openalex.org/W4247585886","https://openalex.org/W1555412307","https://openalex.org/W2759753768","https://openalex.org/W596942210","https://openalex.org/W2132161762","https://openalex.org/W1492522538","https://openalex.org/W2921577810","https://openalex.org/W2138521431","https://openalex.org/W2949254661"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}