Kolmogorov complexity and non-determinism
نویسندگان
چکیده
منابع مشابه
Kolmogorov complexity and non-determinism
We are concerned with Kolmogorov complexity of strings produced by non-deterministic algorithms. For this, we consider five classes of non-deterministic description modes : (i) Bounded description modes in which the number of outputs depends on programs, (ii) distributed description modes in which the number of outputs depends on the size of the outputs, (iii) spread description modes in which ...
متن کاملNon-reducible Descriptions for Conditional Kolmogorov Complexity
Assume that a program p on input a outputs b. We are looking for a shorter program q having the same property (q(a) = b). In addition, we want q to be simple conditional to p (this means that the conditional Kolmogorov complexity K (q|p) is negligible). In the present paper, we prove that sometimes there is no such program q, even in the case when the complexity of p is much bigger than K (b|a)...
متن کاملCompressibility and Kolmogorov Complexity
We continue the investigation of the path-connected geometry on the Cantor space and the related notions of dilution and compressibility described in [1]. These ideas are closely related to the notions of effective Hausdorff and packing dimensions of reals, and we argue that this geometry provides the natural context in which to study them. In particular we show that every regular real can be m...
متن کاملKolmogorov complexity and cryptography
We consider (in the framework of algorithmic information theory) questions of the following type: construct a message that contains different amounts of information for recipients that have (or do not have) certain a priori information. Assume, for example, that the recipient knows some string a, and we want to send her some information that allows her to reconstruct some string b (using a). On...
متن کاملKolmogorov Complexity and Games
In this survey we consider some results on Kolmogorov complexity whose proofs are based on interesting games. The close relation between Recursion theory, whose part is Kolmogorov complexity, and Game theory was revealed by Andrey Muchnik. In [10], he associated with every statement φ of Recursion theory a game Gφ that has the following properties. First, Gφ is a game with complete information ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2002
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(01)00038-x