Sofic-Dyck shifts. (English) Zbl 1425.68178
Csuhaj-Varjú, Erzsébet (ed.) et al., Mathematical foundations of computer science 2014. 39th international symposium, MFCS 2014, Budapest, Hungary, August 25–29, 2014. Proceedings, Part I. Berlin: Springer. Lect. Notes Comput. Sci. 8634, 63-74 (2014).
Summary: We define the class of sofic-Dyck shifts which extends the class of Markov-Dyck shifts introduced by Krieger and Matsumoto. The class of sofic-Dyck shifts is a particular class of shifts of sequences whose finite factors are unambiguous context-free languages. We show that it corresponds exactly to shifts of sequences whose set of factors is a visibly pushdown language. We give an expression of the zeta function of a sofic-Dyck shift which has a deterministic presentation.
For the entire collection see [Zbl 1294.68016].
For the entire collection see [Zbl 1294.68016].
