Finite Automata Computing Real Functions
SIAM Journal on Computing
Automata, Languages, and Machines
Automata, Languages, and Machines
Automata: Theoretic Aspects of Formal Power Series
Automata: Theoretic Aspects of Formal Power Series
Observations on the Smoothness Properties of Real Functions Computed by Weighted Finite Automata
Fundamenta Informaticae - SPECIAL ISSUE ON TRAJECTORIES OF LANGUAGE THEORY Dedicated to the memory of Alexandru Mateescu
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We use a very conventional model of computation to define unconventional computational processes. This leads to an easily computable class of real functions, however, this class is very different to those of nicely behaving real functions in a classical sense. All this is based on the fact that the topology of the unit interval is very different to that of infinite words representing numbers in that interval. In addition, the very inherent recursive structure of finite automata is central here.