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On polynomial recursive sequences
[article]
2020
arXiv
pre-print
We study the expressive power of polynomial recursive sequences, a nonlinear extension of the well-known class of linear recursive sequences. These sequences arise naturally in the study of nonlinear extensions of weighted automata, where (non)expressiveness results translate to class separations. A typical example of a polynomial recursive sequence is b_n=n!. Our main result is that the sequence u_n=n^n is not polynomial recursive.
arXiv:2002.08630v1
fatcat:mle5zy7lgbhotmcrnl63ywteyu