LIPIcs - Leibniz International Proceedings in Informatics. 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)
Doi
Abstract
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? is not polynomial recursive
