{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T09:25:59Z","timestamp":1662629159307},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,4,21]],"date-time":"2012-04-21T00:00:00Z","timestamp":1334966400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2013,7]]},"DOI":"10.1007\/s11083-012-9261-5","type":"journal-article","created":{"date-parts":[[2012,4,20]],"date-time":"2012-04-20T03:38:21Z","timestamp":1334893101000},"page":"557-572","source":"Crossref","is-referenced-by-count":5,"title":["Parametrized Arity Gap"],"prefix":"10.1007","volume":"30","author":[{"given":"Miguel","family":"Couceiro","sequence":"first","affiliation":[]},{"given":"Erkko","family":"Lehtonen","sequence":"additional","affiliation":[]},{"given":"Tam\u00e1s","family":"Waldhauser","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,4,21]]},"reference":[{"key":"9261_CR1","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1090\/S0002-9939-1994-1198450-9","volume":"122","author":"J Berman","year":"1994","unstructured":"Berman, J., Kisielewicz, A.: On the number of operations in a clone. Proc. Amer. Math. Soc. 122, 359\u2013369 (1994)","journal-title":"Proc. Amer. Math. Soc."},{"key":"9261_CR2","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/s11083-010-9175-z","volume":"27","author":"M Bouaziz","year":"2010","unstructured":"Bouaziz, M., Couceiro, M., Pouzet, M.: Join-irreducible Boolean functions. Order 27, 261\u2013282 (2010)","journal-title":"Order"},{"key":"9261_CR3","first-page":"81","volume":"18","author":"M Couceiro","year":"2008","unstructured":"Couceiro, M.: On the lattice of equational classes of Boolean functions and its closed intervals. J. Mult.-Valued Logic Soft Comput. 18, 81\u2013104 (2008)","journal-title":"J. Mult.-Valued Logic Soft Comput."},{"key":"9261_CR4","doi-asserted-by":"crossref","first-page":"975","DOI":"10.1142\/S012905410700508X","volume":"18","author":"M Couceiro","year":"2007","unstructured":"Couceiro, M., Lehtonen, E.: On the effect of variable identification on the essential arity of functions on finite sets. Int. J. Found. Comput. Sci. 18, 975\u2013986 (2007)","journal-title":"Int. J. Found. Comput. Sci."},{"key":"9261_CR5","doi-asserted-by":"crossref","first-page":"5905","DOI":"10.1016\/j.disc.2009.04.009","volume":"309","author":"M Couceiro","year":"2009","unstructured":"Couceiro, M., Lehtonen, E.: Generalizations of \u015awierczkowski\u2019s lemma and the arity gap of finite functions. Discrete Math. 309, 5905\u20135912 (2009)","journal-title":"Discrete Math."},{"key":"9261_CR6","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1016\/j.dam.2011.07.024","volume":"160","author":"M Couceiro","year":"2011","unstructured":"Couceiro, M., Lehtonen, E., Waldhauser, T.: The arity gap of order-preserving functions and extensions of pseudo-Boolean functions. Discrete Appl. Math. 160, 383\u2013390 (2012)","journal-title":"Discrete Appl. Math."},{"key":"9261_CR7","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/j.disc.2011.08.028","volume":"312","author":"M Couceiro","year":"2011","unstructured":"Couceiro, M., Lehtonen, E., Waldhauser, T.: Decompositions of functions based on arity gap. Discrete Math. 312, 238\u2013247 (2012)","journal-title":"Discrete Math."},{"key":"9261_CR8","doi-asserted-by":"crossref","unstructured":"Couceiro, M., Lehtonen, E., Waldhauser, T.: On the arity gap of polynomial functions. arXiv:1104.0595 (2011)","DOI":"10.1109\/ISMVL.2011.20"},{"key":"9261_CR9","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.tcs.2008.01.025","volume":"396","author":"M Couceiro","year":"2008","unstructured":"Couceiro, M., Pouzet, M.: On a quasi-ordering on Boolean functions. Theor. Comput. Sci. 396, 71\u201387 (2008)","journal-title":"Theor. Comput. Sci."},{"key":"9261_CR10","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s11083-006-9036-y","volume":"23","author":"E Lehtonen","year":"2006","unstructured":"Lehtonen, E.: Descending chains and antichains of the unary, linear, and monotone subfunction relations. Order 23, 129\u2013142 (2006)","journal-title":"Order"},{"key":"9261_CR11","doi-asserted-by":"crossref","first-page":"673","DOI":"10.1016\/j.disc.2008.01.003","volume":"309","author":"E Lehtonen","year":"2009","unstructured":"Lehtonen, E., Szendrei, \u00c1.: Equivalence of operations with respect to discriminator clones. Discrete Math. 309, 673\u2013685 (2009)","journal-title":"Discrete Math."},{"key":"9261_CR12","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/S0012-365X(01)00297-7","volume":"254","author":"N Pippenger","year":"2002","unstructured":"Pippenger, N.: Galois theory for minors of finite functions. Discrete Math. 254, 405\u2013419 (2002)","journal-title":"Discrete Math."},{"key":"9261_CR13","first-page":"3","volume":"339","author":"A Salomaa","year":"1963","unstructured":"Salomaa, A.: On essential variables of functions, especially in the algebra of logic. Ann. Acad. Sci. Fenn. Ser. A I. Math. 339, 3\u201311 (1963)","journal-title":"Ann. Acad. Sci. Fenn. Ser. A I. Math."},{"key":"9261_CR14","doi-asserted-by":"crossref","first-page":"217","DOI":"10.7151\/dmgaa.1171","volume":"30","author":"S Shtrakov","year":"2010","unstructured":"Shtrakov, S., Koppitz, J.: On finite functions with non-trivial arity gap. Discuss. Math. Gen. Algebra Appl. 30, 217\u2013245 (2010)","journal-title":"Discuss. Math. Gen. Algebra Appl."},{"key":"9261_CR15","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/0012-365X(93)E0191-6","volume":"141","author":"C Wang","year":"1991","unstructured":"Wang, C.: Boolean minors. Discrete Math. 141, 237\u2013258 (1991)","journal-title":"Discrete Math."},{"key":"9261_CR16","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/0012-365X(94)00323-B","volume":"149","author":"R Willard","year":"1996","unstructured":"Willard, R.: Essential arities of term operations in finite algebras. Discrete Math. 149, 239\u2013259 (1996)","journal-title":"Discrete Math."},{"key":"9261_CR17","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1016\/j.dam.2004.06.028","volume":"149","author":"IE Zverovich","year":"2005","unstructured":"Zverovich, I.E.: Characterizations of closed classes of Boolean functions in terms of forbidden subfunctions and Post classes. Discrete Appl. Math. 149, 200\u2013218 (2005)","journal-title":"Discrete Appl. Math."}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-012-9261-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11083-012-9261-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-012-9261-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,27]],"date-time":"2019-06-27T15:56:52Z","timestamp":1561651012000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11083-012-9261-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,4,21]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,7]]}},"alternative-id":["9261"],"URL":"https:\/\/doi.org\/10.1007\/s11083-012-9261-5","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"value":"0167-8094","type":"print"},{"value":"1572-9273","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,4,21]]}}}