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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 402, Pages 148–169 (Mi znsl5242)  
Function transformations with automata

T. Sallinen

Department of Mathematics and Turku Centre for Computer Science (TUCS), University of Turku, Turku, Finland
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Abstract: 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.
Key words and phrases: weighted finite automaton, weighted finite transducer, real-valued function, derivative, integral.
Received: 07.09.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 3, Pages 339–351
DOI: https://doi.org/10.1007/s10958-013-1399-1
Bibliographic databases:
Document Type: Article
UDC: 510.58
Language: English
Citation: T. Sallinen, “Function transformations with automata”, Combinatorics and graph theory. Part IV, RuFiDiM'11, Zap. Nauchn. Sem. POMI, 402, POMI, St. Petersburg, 2012, 148–169; J. Math. Sci. (N. Y.), 192:3 (2013), 339–351
Citation in format AMSBIB
\Bibitem{Sal12}
\by T.~Sallinen
\paper Function transformations with automata
\inbook Combinatorics and graph theory. Part~IV
\bookinfo RuFiDiM'11
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 402
\pages 148--169
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5242}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2981983}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 3
\pages 339--351
\crossref{https://doi.org/10.1007/s10958-013-1399-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884985418}
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