{"id":"https://openalex.org/W1544231002","doi":"https://doi.org/10.1007/978-3-642-16242-8_13","title":"How to Universally Close the Existential Rule","display_name":"How to Universally Close the Existential Rule","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1544231002","doi":"https://doi.org/10.1007/978-3-642-16242-8_13","mag":"1544231002"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-16242-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-16242-8_13","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/A5057280880","display_name":"Kai Br\u00fcnnler","orcid":null},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Kai Br\u00fcnnler","raw_affiliation_strings":["Institut f\u00fcr angewandte Mathematik und Informatik, Universit\u00e4t Bern, Neubr\u00fcckstr.\u00a010, CH \u2013 3012, Bern, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr angewandte Mathematik und Informatik, Universit\u00e4t Bern, Neubr\u00fcckstr.\u00a010, CH \u2013 3012, Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057280880"],"corresponding_institution_ids":["https://openalex.org/I118564535"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2825,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.54814021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"172","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9987000226974487,"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/predicate","display_name":"Predicate (mathematical logic)","score":0.6473851203918457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6120476722717285},{"id":"https://openalex.org/keywords/predicate-logic","display_name":"Predicate logic","score":0.5969263315200806},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.553167998790741},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.5450587272644043},{"id":"https://openalex.org/keywords/rule-of-inference","display_name":"Rule of inference","score":0.5285812020301819},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5272637605667114},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.5138409733772278},{"id":"https://openalex.org/keywords/predicate-functor-logic","display_name":"Predicate functor logic","score":0.46892601251602173},{"id":"https://openalex.org/keywords/predicate-variable","display_name":"Predicate variable","score":0.44650793075561523},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.4238129258155823},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3879495859146118},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38616830110549927},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3777081370353699},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3730584383010864},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3627672493457794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32712292671203613},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.28288501501083374},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.1830703318119049},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.1688152253627777},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15563461184501648},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.12432515621185303}],"concepts":[{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.6473851203918457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6120476722717285},{"id":"https://openalex.org/C19689857","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"Predicate logic","level":3,"score":0.5969263315200806},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.553167998790741},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.5450587272644043},{"id":"https://openalex.org/C3746660","wikidata":"https://www.wikidata.org/wiki/Q1068763","display_name":"Rule of inference","level":2,"score":0.5285812020301819},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5272637605667114},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.5138409733772278},{"id":"https://openalex.org/C2039508","wikidata":"https://www.wikidata.org/wiki/Q7239631","display_name":"Predicate functor logic","level":5,"score":0.46892601251602173},{"id":"https://openalex.org/C73314972","wikidata":"https://www.wikidata.org/wiki/Q10531432","display_name":"Predicate variable","level":5,"score":0.44650793075561523},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.4238129258155823},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3879495859146118},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38616830110549927},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3777081370353699},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3730584383010864},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3627672493457794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32712292671203613},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.28288501501083374},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.1830703318119049},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.1688152253627777},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15563461184501648},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.12432515621185303},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-16242-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-16242-8_13","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:10.1.1.185.1748","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.185.1748","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iam.unibe.ch/%7Ekai/Papers/2010hucer.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W82724731","https://openalex.org/W1482532876","https://openalex.org/W1503413362","https://openalex.org/W1525047654","https://openalex.org/W1607069510","https://openalex.org/W1795577507","https://openalex.org/W1966647830","https://openalex.org/W1991650963","https://openalex.org/W1996723544","https://openalex.org/W2014579147","https://openalex.org/W2037330115","https://openalex.org/W2089177783","https://openalex.org/W2102625227","https://openalex.org/W2114433604","https://openalex.org/W2309841714","https://openalex.org/W2481330961","https://openalex.org/W3135320517","https://openalex.org/W4233906803","https://openalex.org/W4248156396"],"related_works":["https://openalex.org/W4147469","https://openalex.org/W1518138802","https://openalex.org/W4388294919","https://openalex.org/W2370285767","https://openalex.org/W1505395785","https://openalex.org/W4389618767","https://openalex.org/W2288835708","https://openalex.org/W583230344","https://openalex.org/W2101634098","https://openalex.org/W4238048737"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
