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Learning tree languages from text

Henning Fernau — 2007

RAIRO - Theoretical Informatics and Applications

We study the problem of learning regular tree languages from text. We show that the framework of function distinguishability, as introduced by the author in [ (2003) 1679–1711], can be generalized from the case of string languages towards tree languages. This provides a large source of identifiable classes of regular tree languages. Each of these classes can be characterized in various ways. Moreover, we present a generic inference algorithm with polynomial update time and prove...

Decidability of code properties

Henning FernauKlaus ReinhardtLudwig Staiger — 2007

RAIRO - Theoretical Informatics and Applications

We explore the borderline between decidability and undecidability of the following question: “Let be a class of codes. Given a machine 𝔐 of type , is it decidable whether the language L ( 𝔐 ) lies in or not?” for codes in general, -codes, codes of finite and bounded deciphering delay, prefix, suffix and bi(pre)fix codes, and for finite automata equipped with different versions of push-down stores and counters.

Weak Total Resolvability In Graphs

Katrin CaselAlejandro Estrada-MorenoHenning FernauJuan Alberto Rodríguez-Velázquez — 2016

Discussiones Mathematicae Graph Theory

A vertex v ∈ V (G) is said to distinguish two vertices x, y ∈ V (G) of a graph G if the distance from v to x is di erent from the distance from v to y. A set W ⊆ V (G) is a total resolving set for a graph G if for every pair of vertices x, y ∈ V (G), there exists some vertex w ∈ W − {x, y} which distinguishes x and y, while W is a weak total resolving set if for every x ∈ V (G)−W and y ∈ W, there exists some w ∈ W −{y} which distinguishes x and y. A weak total resolving set of minimum cardinality...

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