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There is also a length-conditional complexity <math>K(x|L(x))</math>, which is the complexity of ''x'' given the length of ''x'' as known/input.<ref>{{cite book|author1=Ming Li|author2=Paul M.B. Vitányi|title=An Introduction to Kolmogorov Complexity and Its Applications|url=https://archive.org/details/introductiontoko00limi_695|url-access=limited|year=2009|publisher=Springer |isbn=978-0-387-49820-1|page=[https://archive.org/details/introductiontoko00limi_695/page/n141 119]}}</ref><ref>{{cite journal |doi=10.1016/j.tcs.2013.07.009 |title=Conditional Kolmogorov complexity and universal probability |journal=Theoretical Computer Science |volume=501 |pages=93–100 |year=2013 |last1=Vitányi |first1=Paul M.B. |url=https://ir.cwi.nl/pub/26818 |arxiv=1206.0983 |s2cid=12085503 }}</ref>
Time-bounded Kolmogorov complexity is a modified version of Kolmogorov complexity where the programs to be searched for a solution are confined to programs that can run within a pre-defined number of steps.<ref>{{Cite journal |last=Hirahara |first=Shuichi |last2=Kabanets |first2=Valentine |last3=Lu |first3=Zhenjian |last4=Oliveira |first4=Igor C. |date=2024 |title=Exact Search-To-Decision Reductions for Time-Bounded Kolmogorov Complexity |url=https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2024.29 |journal=39th Computational Complexity Conference (CCC 2024) |language=en |publisher=Schloss Dagstuhl – Leibniz-Zentrum für Informatik |pages=29:1–29:56 |doi=10.4230/LIPIcs.CCC.2024.29}}</ref>
==See also==
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