Exploring the topological entropy of formal languages
نویسندگان
چکیده
We introduce the notions of topological entropy a formal language and automaton. show that function is surjective bound languages accepted by deterministic ?-free push-down automata with an arbitrary amount stacks.
منابع مشابه
Topological Entropy of Formal Languages
In this thesis we will introduce topological automata and the topological entropy of a topological automaton, which is the topological entropy of the dynamical system contained in the automaton. We will use these notions to define a measure of complexity for formal languages. We assign to every language the topological entropy of the unique minimal topological automaton accepting it. We contrib...
متن کاملTopological Entropy of Formal Languages
In this workwe shall consider a notion of complexity of formal languages L that is inspired by the concept of entropy from dynamical systems. More precisely, we shall define the topological entropy of L to be the exponential growth-rate of the restrictions of the Nerode congruence relation of L to words of length at most n. We shall show that the topological entropy of regular languages is alwa...
متن کاملEntropy operator for continuous dynamical systems of finite topological entropy
In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
متن کاملTOPOLOGICAL CHARACTERIZATION FOR FUZZY REGULAR LANGUAGES
We present a topological characterization for fuzzy regular languages: we show that there is a bijective correspondence between fuzzy regular languages and the set of all clopen fuzzy subsets with finite image in the induced fuzzy topological space of Stone space (Profinite space), and then we give a representation of closed fuzzy subsets in the induced fuzzy topological space via fuzzy regular...
متن کاملThe topological Rohlin property and topological entropy
For a compact metric space X let G = H(X) denote the group of self homeomorphisms with the topology of uniform convergence. The group G acts on itself by conjugation and we say that X satisfies the topological Rohlin property if this action has dense orbits. We show that the Hilbert cube, the Cantor set and, with a slight modification, also even dimensional spheres, satisfy this property. We al...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2021
ISSN: ['1879-2294', '0304-3975']
DOI: https://doi.org/10.1016/j.tcs.2020.10.025