[Cyaegha]

Maybe I'm wrong, but it seems to me that most of this guy's ideas are either a bit half-baked or simply flat out wrong.

Consider the argument for his proposed language being Turing complete on the flow manifesto page. He claims that this follows from the Böhm-Jacopini theorem. However the Böhm-Jacopini theorem requires variable assignment is allowed in the subprograms (which does not appear to be the case in flow), and without this the theorem does not hold, as this paper by Kozen demonstrates: www.cs.cornell.edu/~kozen/papers/bohmjacopini.pdf. Then he goes on to argue that order duality implies the existence of a selection operator in flow, which doesn't seem to make any sense.

I think it's telling that he has been working on this since 2010, yet has no decent proofs of his claims, nor any working implementation.

[lukehutch]

Variable assignment is not strictly necessary, what is necessary is that one loop iteration can modify the initial state of variables in the next loop iteration. This is the second alternative to setting the current value of a variable presented in Flow (specifically, recurrence relations, e.g. x' = x + 1, which are syntactic sugar but allow "variable assignment" but only allow assignment to variables accessible in the next loop iteration). So the Flow Manifesto doesn't cover the hole in the Böhm-Jacopini theorem specifically, but that doesn't mean this computational model is not Turing complete.

As far as proofs or working implementation, sometimes life gets in the way of progress :-)