@inbook{KotekMakowsky:2010,
Abstract = {We consider functions of natural numbers which allow a combinatorial interpretation as counting functions (speed) of classes of relational structures, such as Fibonacci numbers, Bell numbers, Catalan numbers and the like. Many of these functions satisfy a linear recurrence relation over {\$}{\backslash}mathbb Z{\$}or {\$}{\{}{\backslash}mathbb Z{\}}{\\_}m{\$}and allow an interpretation as counting the number of relations satisfying a property expressible in Monadic Second Order Logic (MSOL).},
Address = {Berlin, Heidelberg},
Author = {Kotek, Tomer and Makowsky, Johann A.},
BookTitle = {Fields of Logic and Computation: Essays Dedicated to Yuri Gurevich on the Occasion of His 70th Birthday},
Editor = {Blass, Andreas and Dershowitz, Nachum and Reisig, Wolfgang},
File = {Definability of Combinatorial Functions and Their Linear Recurrence Relations - Kotek-Makowsky2010\_Chapter\_DefinabilityOfCombinatorialFun - a - k.pdf},
ISBN = {978-3-642-15025-8},
Pages = {444--462},
Publisher = {Springer Berlin Heidelberg},
Title = {Definability of Combinatorial Functions and Their Linear Recurrence Relations},
URL = {https://doi.org/10.1007/978-3-642-15025-8\_21},
Year = {2010},
bdsk-url-1 = {https://doi.org/10.1007/978-3-642-15025-8\_21},
date-added = {2020-10-04 09:57:12 +0200},
date-modified = {2023-08-23 10:21:03 +0200},
doi = {10.1007/978-3-642-15025-8_21}
}
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