{"id":"https://openalex.org/W1490282072","doi":"https://doi.org/10.1007/978-3-540-24727-2_11","title":"Unifying Recursive and Co-recursive Definitions in Sheaf Categories","display_name":"Unifying Recursive and Co-recursive Definitions in Sheaf Categories","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1490282072","doi":"https://doi.org/10.1007/978-3-540-24727-2_11","mag":"1490282072"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24727-2_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24727-2_11","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24727-2_11.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":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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24727-2_11.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","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":true,"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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024162879","display_name":"Marino Miculan","orcid":"https://orcid.org/0000-0003-0755-3444"},"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":"Marino Miculan","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/A5063938532"],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4546,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.60968501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"136","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9980999827384949,"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"}},"topics":[{"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9656000137329102,"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/T10142","display_name":"Formal Methods in Verification","score":0.9491000175476074,"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/recursion","display_name":"Recursion (computer science)","score":0.8332302570343018},{"id":"https://openalex.org/keywords/sheaf","display_name":"Sheaf","score":0.6315352916717529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5414119362831116},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5072469115257263},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.485518217086792},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.4669930040836334},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4406091272830963},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4374857544898987},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42291003465652466},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.41521212458610535},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4108569324016571},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3841722905635834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29065144062042236},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24757274985313416},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12318503856658936},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08943808078765869},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07076358795166016},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.06133413314819336}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.8332302570343018},{"id":"https://openalex.org/C4017995","wikidata":"https://www.wikidata.org/wiki/Q595298","display_name":"Sheaf","level":2,"score":0.6315352916717529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5414119362831116},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5072469115257263},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.485518217086792},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.4669930040836334},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4406091272830963},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4374857544898987},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42291003465652466},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.41521212458610535},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4108569324016571},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3841722905635834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29065144062042236},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24757274985313416},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12318503856658936},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08943808078765869},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07076358795166016},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.06133413314819336},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-24727-2_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24727-2_11","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24727-2_11.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":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:10.1.1.5.4512","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.5.4512","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/~miculan/Papers/FOSSACS04.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/978-3-540-24727-2_11","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24727-2_11","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24727-2_11.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1490282072.pdf","grobid_xml":"https://content.openalex.org/works/W1490282072.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1495567550","https://openalex.org/W1534018603","https://openalex.org/W1551036056","https://openalex.org/W1586367033","https://openalex.org/W1592308421","https://openalex.org/W1594381772","https://openalex.org/W1904811476","https://openalex.org/W1949275316","https://openalex.org/W1980786790","https://openalex.org/W2035324774","https://openalex.org/W2049362364","https://openalex.org/W2140920629","https://openalex.org/W2579582130"],"related_works":["https://openalex.org/W1976679120","https://openalex.org/W2377519369","https://openalex.org/W3202311233","https://openalex.org/W4281614748","https://openalex.org/W32024214","https://openalex.org/W2765883196","https://openalex.org/W2034826746","https://openalex.org/W2053587414","https://openalex.org/W3034827173","https://openalex.org/W2058729304"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}