Chemical concrete machine, detailed (IV)

As a preparation for the Turing computation properties of the chemical concrete machine, in this post I shall explain what multipliers and co-multipliers are.

Basically,  multipliers and co-multipliers are molecules which self-multiply.  More precisely, in the next figure we see the definition of those:


Here A  and A' are molecules from the formalism of the chemical concrete machine and 1 and 2 are labels. The blue arrow means any chemical reaction which is allowed.

Question: by close examination of the previous posts on graphic lambda calculus, can you identify any multiplier? or co-multiplier?

If not, then be patient, because in a future post I shall give plenty examples of those, especially connected with logic.

Further, we shall see that \beta zippers, introduced in Chemical concret machine, detailed (III) , multiply in a very graphic way, kind of like what happens with the DNA of a cell when it divides. Let’s see.

We want to know if a zipper can be a multiplier. In the following figure we see what happens in the presence of DIST enzymes:


The reaction continues:


Now, the zipper multiplied into two zippers, but they are still connected.  We need more information about A, B, C, D and A', B', C', D'.   Remark that:



In conclusion: if A, B, C, D are multipliers and A', B', C', D' are co-multipliers, then the zipper is a multiplier!


Return to the chemical concrete machine tutorial.


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