{"id":"https://openalex.org/W1812431881","doi":"https://doi.org/10.1007/978-3-540-87730-1_20","title":"A Normal Form for Euler Diagrams with Shading","display_name":"A Normal Form for Euler Diagrams with Shading","publication_year":2008,"publication_date":"2008-09-21","ids":{"openalex":"https://openalex.org/W1812431881","doi":"https://doi.org/10.1007/978-3-540-87730-1_20","mag":"1812431881"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87730-1_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87730-1_20","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/A5039450473","display_name":"Andrew Fish","orcid":"https://orcid.org/0000-0003-3758-0128"},"institutions":[{"id":"https://openalex.org/I71637028","display_name":"University of Brighton","ror":"https://ror.org/04kp2b655","country_code":"GB","type":"education","lineage":["https://openalex.org/I71637028"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrew Fish","raw_affiliation_strings":["Visual Modelling Group, University of Brighton, Brighton, UK","Visual Modelling Group, Univ. of Brighton, Brighton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Visual Modelling Group, University of Brighton, Brighton, UK","institution_ids":["https://openalex.org/I71637028"]},{"raw_affiliation_string":"Visual Modelling Group, Univ. of Brighton, Brighton, UK","institution_ids":["https://openalex.org/I71637028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022362697","display_name":"Chris John","orcid":null},"institutions":[{"id":"https://openalex.org/I71637028","display_name":"University of Brighton","ror":"https://ror.org/04kp2b655","country_code":"GB","type":"education","lineage":["https://openalex.org/I71637028"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Chris John","raw_affiliation_strings":["Visual Modelling Group, University of Brighton, Brighton, UK","Visual Modelling Group, Univ. of Brighton, Brighton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Visual Modelling Group, University of Brighton, Brighton, UK","institution_ids":["https://openalex.org/I71637028"]},{"raw_affiliation_string":"Visual Modelling Group, Univ. of Brighton, Brighton, UK","institution_ids":["https://openalex.org/I71637028"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088147122","display_name":"John Taylor","orcid":"https://orcid.org/0000-0002-0931-5215"},"institutions":[{"id":"https://openalex.org/I71637028","display_name":"University of Brighton","ror":"https://ror.org/04kp2b655","country_code":"GB","type":"education","lineage":["https://openalex.org/I71637028"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"John Taylor","raw_affiliation_strings":["Visual Modelling Group, University of Brighton, Brighton, UK","Visual Modelling Group, Univ. of Brighton, Brighton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Visual Modelling Group, University of Brighton, Brighton, UK","institution_ids":["https://openalex.org/I71637028"]},{"raw_affiliation_string":"Visual Modelling Group, Univ. of Brighton, Brighton, UK","institution_ids":["https://openalex.org/I71637028"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I71637028"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"206","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9983999729156494,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9958999752998352,"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/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.5831407308578491},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5592014193534851},{"id":"https://openalex.org/keywords/disjunctive-normal-form","display_name":"Disjunctive normal form","score":0.4926512837409973},{"id":"https://openalex.org/keywords/predicate-logic","display_name":"Predicate logic","score":0.4655607044696808},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4460938572883606},{"id":"https://openalex.org/keywords/horn-clause","display_name":"Horn clause","score":0.4305627942085266},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4214211404323578},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.42056798934936523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39942610263824463},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37428468465805054},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.346744567155838},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3373393416404724},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2819468677043915},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25844714045524597},{"id":"https://openalex.org/keywords/logic-programming","display_name":"Logic programming","score":0.25560325384140015},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.25114086270332336},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.20252004265785217},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0799843966960907}],"concepts":[{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.5831407308578491},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5592014193534851},{"id":"https://openalex.org/C136726353","wikidata":"https://www.wikidata.org/wiki/Q903789","display_name":"Disjunctive normal form","level":2,"score":0.4926512837409973},{"id":"https://openalex.org/C19689857","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"Predicate logic","level":3,"score":0.4655607044696808},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4460938572883606},{"id":"https://openalex.org/C189790780","wikidata":"https://www.wikidata.org/wiki/Q933932","display_name":"Horn clause","level":3,"score":0.4305627942085266},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4214211404323578},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.42056798934936523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39942610263824463},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37428468465805054},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.346744567155838},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3373393416404724},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2819468677043915},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25844714045524597},{"id":"https://openalex.org/C128838566","wikidata":"https://www.wikidata.org/wiki/Q275603","display_name":"Logic programming","level":2,"score":0.25560325384140015},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25114086270332336},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.20252004265785217},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0799843966960907},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-87730-1_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87730-1_20","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:pure.atira.dk:publications/c395f197-6995-4124-9056-184e0b6bdf02","is_oa":false,"landing_page_url":"http://link.springer.com/chapter/10.1007%2F978-3-540-87730-1_20","pdf_url":null,"source":{"id":"https://openalex.org/S4306401758","display_name":"University of Brighton Repository (University of Brighton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71637028","host_organization_name":"University of Brighton","host_organization_lineage":["https://openalex.org/I71637028"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fish, A, John, C & Taylor, J 2008, A normal form for Euler diagrams with shading. in Proceedings of the 5th International Conference on the Theory and Application of Diagrams. vol. 5223, Lecture Notes in Computer Science, Springer-Verlag, Berlin Heidelberg, pp. 206-221, Proceedings of the 5th international conference on the theory and application of diagrams, 1/01/08. https://doi.org/10.1007/978-3-540-87730-1_20","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5600000023841858}],"awards":[{"id":"https://openalex.org/G6176001848","display_name":null,"funder_award_id":"EP/E010393/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W571026040","https://openalex.org/W1954176116","https://openalex.org/W1964935812","https://openalex.org/W1996697299","https://openalex.org/W1998236253","https://openalex.org/W1998889043","https://openalex.org/W2064650227","https://openalex.org/W2065481566","https://openalex.org/W2083771018","https://openalex.org/W2128050408","https://openalex.org/W2151969814","https://openalex.org/W2169409496","https://openalex.org/W2309513601","https://openalex.org/W2807933834","https://openalex.org/W4232177563","https://openalex.org/W4245786486"],"related_works":["https://openalex.org/W2383447474","https://openalex.org/W2370559189","https://openalex.org/W2355295171","https://openalex.org/W2368813805","https://openalex.org/W1558168668","https://openalex.org/W2021015114","https://openalex.org/W2048845520","https://openalex.org/W1945403953","https://openalex.org/W2991130698","https://openalex.org/W4253960100"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
