Playing with Subshifts
: Ville Salo, Ilkka Törmä
: Vesa Halava, Juhani Karhumäki, Yuri Matiyasevich
: Turku
: 2012
: TUCS Lecture Notes
: Proceedings of the Second Russian Finnish Symposium on Discrete Mathematics
: TUCS Lecture Notes
: 162
: 169
: 1797-8823
We study the class of sequence-building games, where two players pick letters from a finite alphabet to construct an infinite word. The outcome is determined by whether the resulting word lies in a prescribed subshift (a win for player A) or not (a win for player B). We investigate the relation between the target subshift and the set of turn orders for which A has a winning strategy.