Geodesic
Function transformations with automata
Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part IV, Tome 402 (2012), pp. 148-169

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We use conventional models of computations to define rather unconventional computational processes. Specifically, we use one-tape automata to compute real-valued functions and two-tape automata to describe transformations of those functions. As transformations we consider the integration and the derivation of a function. 
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     author = {T. Sallinen},
     title = {Function transformations with automata},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_402_a8/}
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T. Sallinen. Function transformations with automata. Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part IV, Tome 402 (2012), pp. 148-169. http://geodesic.mathdoc.fr/item/ZNSL_2012_402_a8/