Computing by nowhere increasing complexity Academic Article uri icon

abstract

  • A cellular automaton is presented whose governing rule is that the Kolmogorov complexity of a cell's neighborhood may not increase when the cell's present value is substituted for its future value. Using an approximation of this two-dimensional Kolmogorov complexity the underlying automaton is shown to be capable of simulating logic circuits. It is also shown to capture trianry logic described by a quandle, a non-associative algebraic structure. A similar automaton whose rule permits at times the increase of a cell's neighborhood complexity is shown to produce animated entities which can be used as information carriers akin to gliders in Conway's game of life. Subjects: Information Theory (cs. IT); Cellular Automata and Lattice Gases (nlin. CG) Cite as: arXiv: 1710.01654 [cs. IT](or arXiv: 1710.01654 v1 [cs. IT] for this version) Submission history From: Bar Peled [view email][v1] Wed, 4 Oct 2017 15 …

publication date

  • October 4, 2017