A Representation Theorem for Holonomic Sequences Based on Counting Lattice Paths

作者:Kotek Tomer; Makowsky Johann A*
来源:Fundamenta Informaticae, 2012, 117(1-4): 199-213.
DOI:10.3233/FI-2012-696

摘要

Using a theorem of N. Chomsky and M. Schutzenberger one can characterize sequences of integers which satisfy linear recurrence relations with constant coefficients (C-finite sequences) as differences of two sequences counting words in regular languages. We prove an analog for Precursive (holonomic) sequences in terms of counting certain lattice paths.

  • 出版日期2012