We prove the existence of universal convergent and tuatara machines. Various results on (algorithmic) randomness and partial randomness are proved. For example, ...

Jun 7, 2006 · We prove the existence of universal convergent and tuatara machines. Various results on (algorithmic) randomness and partial randomness are ...

We introduce the zeta number, natural halting probability and natural complexity of a. Turing machine and we relate them to Chaitin's Omega number, ...

We introduce the zeta number, natural halting probability, and natural complexity of a Turing machine and we relate them to Chaitin's Omega number, ...

We introduce the zeta number, natural halting probability, and natural complexity of a Turing machine and ... partial randomness of a generalisation of Chaitin's ...

Semantic Scholar extracted view of "Natural halting probabilities, partial randomness, and zeta functions" by Cristian S. Calude et al.

We prove the existence of universal convergent and tuatara machines. Various results on (algorithmic) randomness and partial randomness are proved. For example, ...

The seminar was meant to be cross-disciplinary and to connect through the common technique of Kolmogorov complexity the areas information theory, ...

Jul 31, 2006 · We prove the existence of universal convergent and tuatara machines. Various results on randomness and partial randomness are proved. For ...

We introduce the zeta number, natural halting probability and natural complexity of a Turing machine and we relate them to Chaitin's Omega number, halting.