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A logical limit law for $231$-avoiding permutations

We prove that the class of 231-avoiding permutations satisfies a logical limit law, i.e. that for any first-order sentence $\Psi$, in the language of two total orders, the probability $p_{n,\Psi}$ that a uniform random 231-avoiding permutation of size $n$ satisfies $\Psi$ admits a limit as $n$ is la...

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Autori principali: Michael Albert, Mathilde Bouvel, Valentin Féray, Marc Noy
Natura: Artigo
Lingua:Inglês
Pubblicazione: Discrete Mathematics & Theoretical Computer Science 2024-04-01
Serie:Discrete Mathematics & Theoretical Computer Science
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Accesso online:http://dmtcs.episciences.org/11751/pdf
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