On reachability problems for low-dimensional matrix semigroups

We consider the Membership and the Half-Space Reachability problems for matrices in dimensions two and three. Our first main result is that the Membership Problem is decidable for finitely generated sub-semigroups of the Heisenberg group over rational numbers. Furthermore, we prove two decidability...

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Bibliographic Details
Main Authors: Colcombet, T, Ouaknine, J, Semukhin, P, Worrell, J
Format: Conference item
Published: Schloss Dagstuhl - Leibniz-Zentrum für Informatik 2019