{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T10:06:57Z","timestamp":1648807617959},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2014,11]]},"abstract":"<jats:p> Algorithmic Information Theory is based on the notion of descriptional complexity known as Chaitin-Kolmogorov complexity, defined in the '60s in terms of minimal description length. Blum Static Complexity spaces defined using Blum axioms, and Encoded Function spaces defined using properties of the complexity function, were introduced in 2012 to generalize the concept of descriptional complexity. In formal language theory we also use the concept of descriptional complexity for the number of states, or the number of transitions in a minimal finite automaton accepting a regular language, and apparently, this number has no connection to the general case of descriptional complexity. In this paper we prove that all the definitions of descriptional complexity, including complexity of operations, can be defined within the framework of Encoded Blum Static Complexity spaces, which extend both Blum Static Complexity spaces and Encoded Function spaces. <\/jats:p>","DOI":"10.1142\/s0129054114400152","type":"journal-article","created":{"date-parts":[[2015,1,14]],"date-time":"2015-01-14T03:48:03Z","timestamp":1421207283000},"page":"917-932","source":"Crossref","is-referenced-by-count":0,"title":["DESCRIPTIONAL COMPLEXITY IN ENCODED BLUM STATIC COMPLEXITY SPACES"],"prefix":"10.1142","volume":"25","author":[{"given":"CEZAR","family":"C\u00c2MPEANU","sequence":"first","affiliation":[{"name":"Department of Computer Science and Information Technology, The University of Prince Edward Island, Charlottetown, Prince Edward Island C1A4P3, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,1,14]]},"reference":[{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(67)90546-3"},{"key":"p_3","first-page":"46","author":"Boucher C.","year":"1971","journal-title":"Lecture Notes in Operations Research and Mathematical Systems"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2003.12.003"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2007.04.011"},{"key":"p_13","first-page":"71","volume":"7160","year":"2012","journal-title":"Computer Science"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1145\/321892.321894"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-27654-5_11"},{"key":"p_19","first-page":"1","author":"Kolmogorov A. N.","year":"1965","journal-title":"Problems Inform. Transmission (1) ("},{"issue":"4","key":"p_20","first-page":"27","volume":"38","author":"Kolmogorov A. N.","year":"1982","journal-title":"Mathematical Science Surveys"},{"key":"p_25","first-page":"1","volume":"144","author":"Eric","year":"1969","journal-title":"Trans. Amer. Math. Soc."}],"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054114400152","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:37:04Z","timestamp":1565116624000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129054114400152"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11]]},"references-count":10,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2015,1,14]]},"published-print":{"date-parts":[[2014,11]]}},"alternative-id":["10.1142\/S0129054114400152"],"URL":"https:\/\/doi.org\/10.1142\/s0129054114400152","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11]]}}}