I continue from the last post on small graph rewrite systems. Let’s see some more details about the SH-2.1 system.
The last post ends with a realization of the DIST rewrite in SH-2.1. We can do better than that, by showing that the DIST rewrite is reversible:
As you see, the two pairs yellow-blue and blue-blue play the role of enzymes.
Another two interesting reactions are the following:
So the “yellow ends” duplicate, with a pair blue-blue as an enzyme.
The supplementary “blue ends” prune themselves, in a sort of duality with the “yellow ends”. This time there is a yellow-blue pair enzyme.