DAG Automata - Variants, Languages and Properties

Johannes Blum · KTH Publication Database DiVA (KTH Royal Institute of Technology) · 2015

We study final-state automata that work on directed acyclic graphs (DAGs). We consider ordered and unordered DAGs and show that they can be simulated by each other. Then we show that deterministic DAG automata are weaker then nondeterministic automata. Some properties of recognizable DAG languages are presented and the decidability of the finiteness problem is shown. Finally we compare tree and DAG automata and show that the path language of a DAG language is regular by proving that the tree unfolding of a DAG language preserves recognizability.

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