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Decidability in geometric grid classes of permutations

2023/08/08 by Braunfeld, Samuel · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2308.04201

Abstract

We prove that the basis and the generating function of a geometric grid class of permutations Geom(M) are computable from the matrix M, as well as some variations on this result. Our main tool is monadic second-order logic on permutations and words.

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