Efficient Implementation for Deterministic Finite Tree Automata Minimization

Abstract

We address the problem of deterministic finite tree automata (DFTA) minimization. We describe a new alternative to implement both standard and incremental tree automata minimization using a well-defined graph representing the automaton to be minimized. We show that the asymptotic complexity of the standard implementation is linearithmic and the incremental one is O(n3 log(n)) where n is the DFTA size.

Keywords

• automata theory
• minimization
• trees
• asymptotic complexity