{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T16:14:15Z","timestamp":1762100055064},"reference-count":20,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[1985,1,1]],"date-time":"1985-01-01T00:00:00Z","timestamp":473385600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":10424,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Theoretical Computer Science"],"published-print":{"date-parts":[[1985]]},"DOI":"10.1016\/0304-3975(85)90075-1","type":"journal-article","created":{"date-parts":[[2003,4,25]],"date-time":"2003-04-25T10:09:04Z","timestamp":1051265344000},"page":"271-287","source":"Crossref","is-referenced-by-count":24,"special_numbering":"C","title":["Inferences for numerical dependencies"],"prefix":"10.1016","volume":"41","author":[{"given":"John","family":"Grant","sequence":"first","affiliation":[]},{"given":"Jack","family":"Minker","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0304-3975(85)90075-1_BIB1","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0022-0000(84)90075-8","article-title":"Inclusion dependencies and their interaction with functional dependencies","volume":"28","author":"Casanova","year":"1984","journal-title":"J. Comput. System Sci."},{"key":"10.1016\/0304-3975(85)90075-1_BIB2","series-title":"Proc. 1st Internat. Workshop on Expert Database Systems","article-title":"Semantic query optimization in expert systems and database systems","author":"Chakravarthy","year":"1984"},{"key":"10.1016\/0304-3975(85)90075-1_BIB3","series-title":"Symbolic Logic and Mechanical Theorem Proving","author":"Chang","year":"1973"},{"key":"10.1016\/0304-3975(85)90075-1_BIB4","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1145\/319587.319592","article-title":"A normal form for relational databases that is based on domains and keys","volume":"6","author":"Fagin","year":"1981","journal-title":"ACM Trans. Database Systems"},{"key":"10.1016\/0304-3975(85)90075-1_BIB5","doi-asserted-by":"crossref","first-page":"952","DOI":"10.1145\/322344.322347","article-title":"Horn clauses and database dependencies","volume":"29","author":"Fagin","year":"1982","journal-title":"J. ACM"},{"key":"10.1016\/0304-3975(85)90075-1_BIB6","series-title":"Proc. 2nd ACM SIGACT-SIGMOD PODS Symp.","first-page":"332","article-title":"Sort sets in the relational model","author":"Ginsburg","year":"1983"},{"key":"10.1016\/0304-3975(85)90075-1_BIB7","doi-asserted-by":"crossref","first-page":"986","DOI":"10.1145\/322344.322348","article-title":"On the family of generalized dependency constraints","volume":"29","author":"Grant","year":"1982","journal-title":"J. ACM"},{"key":"10.1016\/0304-3975(85)90075-1_BIB8","article-title":"Numerical dependencies","author":"Grant","year":"1981"},{"key":"10.1016\/0304-3975(85)90075-1_BIB9","first-page":"98","article-title":"On the computational complexity of cardinality constraints in relational databases","volume":"11","author":"Kanellakis","year":"1980"},{"key":"10.1016\/0304-3975(85)90075-1_BIB10","series-title":"Proc. 15th Ann. ACM Symp. on Theory of Computing","first-page":"264","article-title":"Unary inclusion dependencies have polynomial time inference problems","author":"Kanellakis","year":"1983"},{"key":"10.1016\/0304-3975(85)90075-1_BIB11","series-title":"Proc. IJCAI-77","first-page":"50","article-title":"The use of a semantic network in a deductive question-answering system","author":"McSkimin","year":"1977"},{"key":"10.1016\/0304-3975(85)90075-1_BIB12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0306-4379(83)90024-8","article-title":"On recursive axioms in deductive databases","volume":"8","author":"Minker","year":"1982","journal-title":"Inform. Systems"},{"key":"10.1016\/0304-3975(85)90075-1_BIB13","series-title":"Proc. 2nd ACM SIGACT-SIGMOD PODS Symp.","first-page":"58","article-title":"Inference rules for functional and inclusion dependencies","author":"Mitchell","year":"1983"},{"key":"10.1016\/0304-3975(85)90075-1_BIB14","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1007\/BF00263192","article-title":"Logic for improving integrity checking in relational data bases","volume":"18","author":"Nicolas","year":"1982","journal-title":"Acta Inform."},{"key":"10.1016\/0304-3975(85)90075-1_BIB15","series-title":"Proc. ACM-SIGMOD Conf.","first-page":"52","article-title":"Inferences involving embedded multivalued dependencies and transitive dependencies","author":"Parker","year":"1980"},{"key":"10.1016\/0304-3975(85)90075-1_BIB16","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1145\/322307.322312","article-title":"Templete dependencies: A large class of dependencies in relational databases and its complete axiomatization","volume":"29","author":"Sadri","year":"1982","journal-title":"J. ACM"},{"key":"10.1016\/0304-3975(85)90075-1_BIB17","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1145\/322290.322297","article-title":"Subset dependencies and a completeness result for a subclass of embedded multivalued dependencies","volume":"29","author":"Sagiv","year":"1982","journal-title":"J. ACM"},{"key":"10.1016\/0304-3975(85)90075-1_BIB18","series-title":"Mathematical Logic","author":"Shoenfield","year":"1967"},{"key":"10.1016\/0304-3975(85)90075-1_BIB19","series-title":"Principles of Database Systems","author":"Ullman","year":"1982"},{"key":"10.1016\/0304-3975(85)90075-1_BIB20","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1016\/0022-0000(82)90008-3","article-title":"Algebraic dependencies","volume":"21","author":"Yannakakis","year":"1982","journal-title":"J. Comput. System Sci."}],"container-title":["Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0304397585900751?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0304397585900751?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,21]],"date-time":"2019-03-21T20:53:16Z","timestamp":1553201596000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0304397585900751"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985]]},"references-count":20,"alternative-id":["0304397585900751"],"URL":"https:\/\/doi.org\/10.1016\/0304-3975(85)90075-1","relation":{},"ISSN":["0304-3975"],"issn-type":[{"value":"0304-3975","type":"print"}],"subject":[],"published":{"date-parts":[[1985]]}}}