Playing with Subshifts
نویسندگان
چکیده
We study the class of word-building games, where two players pick letters from a finite alphabet to construct a finite or infinite word. The outcome is determined by whether the resulting word lies in a prescribed set (a win for player A) or not (a win for player B). We focus on symbolic dynamical games, where the target set is a subshift. We investigate the relation between the target subshift and the set of turn orders for which A has a winning strategy.
منابع مشابه
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The second author introduced with I. Törmä a two-player word-building game [Playing with Subshifts, Fund. Inform. 132 (2014), 131–152]. The game has a predetermined (possibly finite) choice sequence α1, α2, . . . of integers such that on round n the player A chooses a subset Sn of size αn of some fixed finite alphabet and the player B picks a letter from the set Sn. The outcome is determined by...
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عنوان ژورنال:
- Fundam. Inform.
دوره 132 شماره
صفحات -
تاریخ انتشار 2014