In this paper we study the Kolmogorov complexity for non-effective computations, that is, either halting or non-halting computations on Turing machines. This complexity function is defined as the ...

Transactions of the American Mathematical Society, Vol. 363, No. 10 (OCTOBER 2011), pp. 5465-5480 (16 pages) Several classes of diagonally nonrecursive (DNR) functions are characterized in terms of ...

Kolmogorov complexity uses computer science to measure the amount of information (or randomness) contained in finite objects. In addition to being interesting philosophically, Kolmogorov complexity ...

Algorithmic complexity and information theory are foundational disciplines that intersect to elucidate how data is structured, transmitted and computed. At its core, algorithmic complexity seeks to ...