{"id":"https://openalex.org/W1573688192","doi":"https://doi.org/10.1007/978-3-540-39893-6_31","title":"A Calculus for Set-Based Program Development","display_name":"A Calculus for Set-Based Program Development","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1573688192","doi":"https://doi.org/10.1007/978-3-540-39893-6_31","mag":"1573688192"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-39893-6_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-39893-6_31","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/A5004734550","display_name":"Georg Struth","orcid":"https://orcid.org/0000-0001-9466-7815"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]},{"id":"https://openalex.org/I119916105","display_name":"Augsburg University","ror":"https://ror.org/057ewhh68","country_code":"US","type":"education","lineage":["https://openalex.org/I119916105"]}],"countries":["DE","US"],"is_corresponding":true,"raw_author_name":"Georg Struth","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t Augsburg, D-86135, Augsburg, Germany","UNIVERSIT\u00c4T AUGSBURG"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Augsburg, D-86135, Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]},{"raw_affiliation_string":"UNIVERSIT\u00c4T AUGSBURG","institution_ids":["https://openalex.org/I119916105"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004734550"],"corresponding_institution_ids":["https://openalex.org/I119916105","https://openalex.org/I179225836"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.104,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77300075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"541","last_page":"559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9993000030517578,"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":0.7530568242073059},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7365179657936096},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.7328146696090698},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5350198745727539},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5149512887001038},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4873660206794739},{"id":"https://openalex.org/keywords/automated-proof-checking","display_name":"Automated proof checking","score":0.48003971576690674},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.4767645001411438},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4718130826950073},{"id":"https://openalex.org/keywords/formal-proof","display_name":"Formal proof","score":0.43342939019203186},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.4311320185661316},{"id":"https://openalex.org/keywords/automated-reasoning","display_name":"Automated reasoning","score":0.41698095202445984},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.413167268037796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21688947081565857}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7530568242073059},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7365179657936096},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.7328146696090698},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5350198745727539},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5149512887001038},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4873660206794739},{"id":"https://openalex.org/C13766981","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Automated proof checking","level":3,"score":0.48003971576690674},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.4767645001411438},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4718130826950073},{"id":"https://openalex.org/C94461902","wikidata":"https://www.wikidata.org/wiki/Q2762418","display_name":"Formal proof","level":3,"score":0.43342939019203186},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.4311320185661316},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.41698095202445984},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.413167268037796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21688947081565857},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-540-39893-6_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-39893-6_31","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:aleph.bib-bvb.de:BVB01-014867896","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/223","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"software, multimedia"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-014868318","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/222","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"software, multimedia"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:35974","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/35974","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conferenceobject"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W298021319","https://openalex.org/W1495098237","https://openalex.org/W1514645981","https://openalex.org/W1526639761","https://openalex.org/W1532420827","https://openalex.org/W1573688192","https://openalex.org/W1581520202","https://openalex.org/W1585625024","https://openalex.org/W1594381772","https://openalex.org/W1596908530","https://openalex.org/W1822547656","https://openalex.org/W1968724907","https://openalex.org/W1998368317","https://openalex.org/W2037085273","https://openalex.org/W2041161966","https://openalex.org/W2066448597","https://openalex.org/W2083251422","https://openalex.org/W2099163661","https://openalex.org/W2133527541","https://openalex.org/W2279881143","https://openalex.org/W2913233410","https://openalex.org/W4234122916","https://openalex.org/W4246297595","https://openalex.org/W4248754364","https://openalex.org/W4254354208","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2120688002","https://openalex.org/W2921114217","https://openalex.org/W197813433","https://openalex.org/W2969740638","https://openalex.org/W1968376266","https://openalex.org/W2809689211","https://openalex.org/W2913968350","https://openalex.org/W4232276257","https://openalex.org/W2285156239","https://openalex.org/W1602423174"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
