Not trained as a computer scientist I find myself in the position of those six blind men and an elephant. I have bits and pieces of information but not a coher

Not trained as a computer scientist I find myself in the position of those six blind men and an elephant. I have bits and pieces of information but not a coherent whole. I would suspect that this parsing by derivative thing is connected to the fact that there is one to one correspondence between rational polynomials and regular languages. What feels tantalizing to me is the following: given the connection between regular languages and neural networks other (meaning those that are not based on differentiation) fast parsing techniques probably would have imply something about fast back-propagation with automatic differentiation. Would love hearing more on this.