[BUCH][B] An introduction to Kolmogorov complexity and its applications
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 …
Applications Ming Li Paul Vitányi Fourth Edition Texts in Computer Science Page 2 Texts in …
Power from random strings
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 …
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 …
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
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 …
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 …
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) …
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 …
the difficulty of resolving major open problems. In this paper, we propose a weaker notion of …
Enumerations of the Kolmogorov function
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 …
finitely many elements including h (x). f is ak (n)-enumerator if for every input x of length n. h …
Power from random strings
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 …
sets that are complete for several complexity classes under probabilistic and non-uniform …
Synergy Between Circuit Obfuscation and Circuit Minimization
Synergy Between Circuit Obfuscation and Circuit Minimization Page 1 Synergy Between Circuit
Obfuscation and Circuit Minimization Russell Impagliazzo Department of Computer Science …
Obfuscation and Circuit Minimization Russell Impagliazzo Department of Computer Science …