Depth of an object concerns a tradeoff between computation time and excess of program length over the shortest program length required to obtain the object. It gives an unconditio...
Luis Antunes 0002, Armando Matos, Andre Souto, Pau...
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
—In this paper we show that BPP is truth-table reducible to the set of Kolmogorov random strings RK . It was previously known that PSPACE, and hence BPP is Turingreducible to RK ...
We prove the first general and non-trivial lower bound for the number of times a 1-out-of-n Oblivious Transfer of strings of length should be invoked so as to obtain, by an inform...
The language compression problem asks for succinct descriptions of the strings in a language A such that the strings can be efficiently recovered from their description when given...