[BUCH][B] An introduction to Kolmogorov complexity and its applications

M Li, P Vitányi - 2008 - Springer
Ming Li Paul Vitányi Fourth Edition Page 1 An Introduction to Kolmogorov Complexity and Its
Applications Ming Li Paul Vitányi Fourth Edition Texts in Computer Science Page 2 Texts in …

Power from random strings

E Allender, H Buhrman, M Koucký… - SIAM Journal on …, 2006 - SIAM
We show that sets consisting of strings of high Kolmogorov complexity provide examples of
sets that are complete for several complexity classes under probabilistic and nonuniform …

Unexpected hardness results for Kolmogorov complexity under uniform reductions

S Hirahara - Proceedings of the 52nd Annual ACM SIGACT …, 2020 - dl.acm.org
Hardness of computing the Kolmogorov complexity of a given string is closely tied to a
security proof of hitting set generators, and thus understanding hardness of Kolmogorov …

A qubit, a coin, and an advice string walk into a relational problem

S Aaronson, H Buhrman, W Kretschmer - arxiv preprint arxiv:2302.10332, 2023 - arxiv.org
Relational problems (those with many possible valid outputs) are different from decision
problems, but it is easy to forget just how different. This paper initiates the study of …

[PDF][PDF] Approaching MCSP from above and below: Hardness for a conditional variant and AC^ 0 [p]

R Ilango - 11th Innovations in Theoretical Computer Science …, 2020 - drops.dagstuhl.de
Abstract The Minimum Circuit Size Problem (MCSP) asks whether a given Boolean function
has a circuit of at most a given size. MCSP has been studied for over a half-century and has …

When worlds collide: Derandomization, lower bounds, and Kolmogorov complexity

E Allender - FST TCS 2001: Foundations of Software Technology …, 2001 - Springer
This paper has the following goals: To survey some of the recent developments in the field of
derandomization. To introduce a new notion of time-bounded Kolmogorov complexity (KT) …

[PDF][PDF] Bounded relativization

S Hirahara, Z Lu, H Ren - Leibniz international proceedings in …, 2023 - par.nsf.gov
Relativization is one of the most fundamental concepts in complexity theory, which explains
the difficulty of resolving major open problems. In this paper, we propose a weaker notion of …

Enumerations of the Kolmogorov function

R Beigel, H Buhrman, P Fejer, L Fortnow… - The Journal of …, 2006 - cambridge.org
A recursive enumerator for a function h is an algorithm f which enumerates for an input x
finitely many elements including h (x). f is ak (n)-enumerator if for every input x of length n. h …

Power from random strings

E Allender, H Buhrman, M Koucky… - The 43rd Annual …, 2002 - ieeexplore.ieee.org
We show that sets consisting of strings of high Kolmogorov complexity provide examples of
sets that are complete for several complexity classes under probabilistic and non-uniform …

Synergy Between Circuit Obfuscation and Circuit Minimization

R Impagliazzo, V Kabanets… - … and Techniques (APPROX …, 2023 - drops.dagstuhl.de
Synergy Between Circuit Obfuscation and Circuit Minimization Page 1 Synergy Between Circuit
Obfuscation and Circuit Minimization Russell Impagliazzo Department of Computer Science …