Preprint 2015-18
Anahi Gajardo, Diego Maldonado, Andres Moreira:
Universal time-symmetric number-conserving cellular automaton.
Abstract:
We show the existence of Turing-universal and intrinsically universal cellular automata (CA) exhibiting both time symmetry and number conservation; this is achieved by providing a way to simulate reversible CA with time-symmetric CA, which preserves the number-conserving property. We also provide some additional results and observations concerning the simulation relations between reversible, time-symmetric and number-conserving CA in the context of partitioned CA.
