Editorial: in memoriam: Alberto Del Lungo (1965-2003)
Theoretical Computer Science - In memoriam: Alberto Del Lungo (1965-2003)
Regular languages and their generating functions: The inverse problem
Theoretical Computer Science
Another proof of Soittola's theorem
Theoretical Computer Science
N-rationality of a certain class of formal series
Information Processing Letters
The specker-blatter theorem revisited
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
Definability of combinatorial functions and their linear recurrence relations
Fields of logic and computation
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In this paper, we tackle the problem of giving, by means of a regular language, a combinatorial interpretation of a positive sequence (f"n) defined by a linear recurrence with integer coefficients. We propose two algorithms able to determine if the rational generating function of (f"n), f(x), is the generating function of some regular language, and, in the affirmative case, to find it. We illustrate some applications of this method to combinatorial object enumeration problems and bijective combinatorics and discuss an open problem regarding languages having a rational generating function.