Version 1
: Received: 27 October 2020 / Approved: 28 October 2020 / Online: 28 October 2020 (11:17:03 CET)
How to cite:
Sarkar, A.; Al-Ars, Z.; Bertels, K. Quines are the Fittest Programs - Nesting Algorithmic Probability Converges to Constructors. Preprints2020, 2020100584. https://doi.org/10.20944/preprints202010.0584.v1
Sarkar, A.; Al-Ars, Z.; Bertels, K. Quines are the Fittest Programs - Nesting Algorithmic Probability Converges to Constructors. Preprints 2020, 2020100584. https://doi.org/10.20944/preprints202010.0584.v1
Sarkar, A.; Al-Ars, Z.; Bertels, K. Quines are the Fittest Programs - Nesting Algorithmic Probability Converges to Constructors. Preprints2020, 2020100584. https://doi.org/10.20944/preprints202010.0584.v1
APA Style
Sarkar, A., Al-Ars, Z., & Bertels, K. (2020). Quines are the Fittest Programs - Nesting Algorithmic Probability Converges to Constructors. Preprints. https://doi.org/10.20944/preprints202010.0584.v1
Chicago/Turabian Style
Sarkar, A., Zaid Al-Ars and Koen Bertels. 2020 "Quines are the Fittest Programs - Nesting Algorithmic Probability Converges to Constructors" Preprints. https://doi.org/10.20944/preprints202010.0584.v1
Abstract
In this article we explore the limiting behavior of the universal prior distribution obtained when applied over multiple meta-level hierarchy of programs and output data of a computational automata model. We were motivated to alleviate the effect of Solomonoff's assumption that all computable functions or hypotheses of the same length are equally likely, by weighing each program in turn by the algorithmic probability of their description number encoding. In the limiting case, the set of all possible program strings of a fixed-length converges to a distribution of self-replicating quines and quine-relays - having the structure of a constructor. We discuss how experimental algorithmic information theory provides insights towards understanding the fundamental metrics proposed in this work and reflect on the significance of these result in digital physics and the constructor theory of life.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
