## On continuous functions computed by finite automata.(English)Zbl 0883.68095

Summary: Weighted Finite Automata (WFA) can be used to define functions from $$[0,1]$$ into $$\mathbb{R}$$. We give here a method to construct more and more complex WFA computing continuous functions. We also give an example of a continuous function having no derivative at any point, that can be computed with a 4-state WFA.

### MSC:

 68Q45 Formal languages and automata

### Keywords:

weighted finite automata
Full Text:

### References:

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