Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quines are the fittest programs: Nesting algorithmic probability
  converges to constructors   In this article we explore the limiting behavior of the universal prior
distribution applied over multiple meta-level hierarchy of program and output
data of a Turing machine. We were motivated to reduce the effect of
Solomonoff's assumption that all computable functions/hypothesis 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 we
converge the set of all possible program strings of a fixed-length 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 the constructor
theory of life.

12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph