{"id":"https://openalex.org/W1553763224","doi":"https://doi.org/10.1007/3-540-45842-5_3","title":"A Tour with Constructive Real Numbers","display_name":"A Tour with Constructive Real Numbers","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1553763224","doi":"https://doi.org/10.1007/3-540-45842-5_3","mag":"1553763224"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45842-5_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45842-5_3","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/A5077893110","display_name":"Alberto Ciaffaglione","orcid":null},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alberto Ciaffaglione","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine, via delle Scienze, 206 - 33100, Udine, Italy","Universit\u00e0 di Udine"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine, via delle Scienze, 206 - 33100, Udine, Italy","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"Universit\u00e0 di Udine","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063938532","display_name":"Pietro Di Gianantonio","orcid":"https://orcid.org/0000-0002-0638-4610"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Pietro Di Gianantonio","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine, via delle Scienze, 206 - 33100, Udine, Italy","Universit\u00e0 di Udine"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine, via delle Scienze, 206 - 33100, Udine, Italy","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"Universit\u00e0 di Udine","institution_ids":["https://openalex.org/I129043915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077893110"],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8489,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72653176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"41","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9987999796867371,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9987999796867371,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9939000010490417,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9577000141143799,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/constructive","display_name":"Constructive","score":0.6616570949554443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4379734992980957},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20185977220535278}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6616570949554443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4379734992980957},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20185977220535278},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/3-540-45842-5_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45842-5_3","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:CiteSeerX.psu:10.1.1.22.2763","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.2763","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dimi.uniud.it/~pietro/Papers/Soft-copy-ps/RealsAxioms.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.9561","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.9561","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dimi.uniud.it/~ciaffagl/C_Reals/axioms.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.543.8714","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.543.8714","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.dimi.uniud.it/~pietro.digianantonio/papers/copy_pdf/RealsAxioms.pdf","raw_type":"text"},{"id":"pmh:oai:air.uniud.it:11390/739265","is_oa":false,"landing_page_url":"http://hdl.handle.net/11390/739265","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W126568045","https://openalex.org/W1504696707","https://openalex.org/W1508864478","https://openalex.org/W1509579779","https://openalex.org/W1553763224","https://openalex.org/W1560253649","https://openalex.org/W1572053176","https://openalex.org/W1576133164","https://openalex.org/W1986402635","https://openalex.org/W2015422016","https://openalex.org/W2034441209","https://openalex.org/W2067914884","https://openalex.org/W2798718690","https://openalex.org/W4239316923","https://openalex.org/W4243563333","https://openalex.org/W6630101114","https://openalex.org/W6981951494"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2377770720","https://openalex.org/W94411513","https://openalex.org/W2113626999","https://openalex.org/W4311883357","https://openalex.org/W2358668433","https://openalex.org/W160889949","https://openalex.org/W2364696089","https://openalex.org/W2376932109"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}