Quine graphs (2)

UPDATE: This page has now comments for each graph  , or its sister page. Now I can start to mass produce 🙂

There are several technical details to add before I arrive to a final version, but now there are, as usual, two sister pages:

  • (the one I want to write about today) here
  • and the one at the quinegraph repository here (link changed, mentioned in the last post)

The first page, ie the newer one, has the algorithm involving the COMB rewrites and Arrow nodes, even for Interaction Combinators, which is part of the original chemlambda programs.  It may be funny to see the Arrows and COMB rewrites in action in the case of IC.

This part is needed because the way a graph quine is defined. The Arrow and COMB rewrites allow to make purely local parallel rewrites. For the case of Interaction Combinators, where the graphs are not oriented, a hack can be done in order to use Arrows, which consists into using a pair of them, tip to tip, instead of only one. (Not the first time when I think that IC is bosonic and chemlambda is fermionic 🙂 )

That being said, what more is needed?

  • to fully implement the greedy algorithm, because only the sequential random one is in the js version (let’s recall again that the js-only version was first done by ishanpm, then modified by me according to (many) needs. It is a marvel, even if it needs more tweaks, in particular from my point of view because by using it I discovered that the 10 quine can reproduce itself). Needed because of the definition of a quine.
  • to put a graph matching function. There is one in the more ambitious project hapax. (It does not have pretty pictures, but I’ll modify it after, maybe that is why it does not attract?) Useful for the verification of a quine.
  • depending on time, implement a sort of arena where quines compete. Needed for a part of the article (or maybe a supplement?) where I explain some things mentioned in the deleted g+ chemlambda collection (adaptation is another semantic ilusion)
  • finally I need to arrive to a not too primitive form of html presentation, these days people are used to such things and the academic who just want to show a proof of principle will be ignored without. Needed because it can be done and is good for my education.

All in all, ironically, my initial awk program (4364 sloc) does that and more (Turing machines, to come in js version, as well as Formality Core) in so many lines because perhaps they were needed? I say ironically because that program is written without the use of functions, so perhaps it is about 1000 sloc with functions. Compare with the js version which has the same number of lines, written by ishanpm. Compare with the Haskell version written by synergistics,  Compare with the python version by 4lhc.

Most of these lines are needed to destroy the information added to the system by the semantic assumptions of those who wrote the programming languages. Yes.

I close here by saying that even if I don’t believe in semantics, as it is understood since Aristotle (but not by Plato), I do believe in the existence of a different, more beautiful replacement, which can be glimpsed in the way nature needs randomness for creating structure.

 

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