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Decision Problems for P-finite Sequences

Prelegent(ci)
George Kenison
Afiliacja
Liverpool John Moores University
Język referatu
angielski
Termin
23 lipca 2025 14:15
Pokój
p. 5440
Tytuł w języku polskim
Decision Problems for P-finite Sequences
Seminarium
Seminarium „Teoria automatów”

This talk will discuss the algorithmic analysis of the class of P-finite sequences.  These sequences satisfy linear recurrence relations with polynomial coefficients and are common across the quantitative sciences (examples include the Fibonacci, Motzkin, Harmonic, and Catalan numbers).   We shall focus on computational aspects and their relevance to basic verification problems, such as termination and reachability. Time permitting, we will give some of the mathematical context for these problems, discuss recent progress, and highlight unsolved cases.