Quine graphs (5), anharmonic logic and a flute

Several things:

  • added a new control to the quine graphs pages (all can be accessed from here). Is caled the “rewrites weights slider”: you can either favor the rewrites DIST, which add nodes to the graph, or the rewrites β  which take away nodes from the graph (for chemlambda these are the L-A rewrite, but also the termination rewrites and FI-FOE). This changes, sometimes radically, the result of the algorithm. It depends what you want. In the case of reductions of lambda terms, you may want to privilege β rewrites, but as usual this is not generally true, see the last example. In the case of the fight arena for quines, you can favor a species of quines over another by your choice.
  • of course in the background I continue with kali, or anharmonic lambda calculus. The new thing is that why not conceive a programming language which compiles to kali? It works fine, you can say things as

“from a see b as c” or

“let a mark b as c” or

“is a as b” or

“c := let x  = b in c”

and many others! Soon, hope at the beginning of December, will be available.

  • It helps to do new things, so I finished t day my first flute. Claudia, my wife, is a music professor and her instrument of choice is the flute. From a physics point of view a flute is a tube with holes placed in the right possitions, how hard would it be to make one? After I made it, it is usable but I started to learn a lot of stuff about how unnatural is the modern flute and how much you can play with all variables. As a mathematician I  oscilate between “is a known thing to simulate a flute numerically” and “I shall concentrate on the craft and will play with various techniques”. My first flute was a craft only effort, but now, when I know more, I am hooked!

OK, so that’s the news, I like to make things!


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