JUCS - Journal of Universal Computer Science 22(2): 180-196, doi: 10.3217/jucs-022-02-0180
A Taxonomy of Minimisation Algorithms for Deterministic Tree Automata
expand article infoJohanna Björklund, Loek Cleophas
‡ Umeå University, Umeå, Sweden
Open Access
We present a taxonomy of algorithms for minimising deterministic bottomup tree automata (dtas) over ranked and ordered trees. Automata of this type and its extensions are used in many application areas, including natural language processing (nlp) and code generation. In practice, dtas can grow very large, but minimisation keeps things manageable. The proposed taxonomy serves as a unifying framework that makes algorithms accessible and comparable, and as a foundation for efficient implementation. Taxonomies of this type are also convenient for correctness and complexity analysis, as results can frequently be propagated through the hierarchy. The taxonomy described herein covers a broad spectrum of algorithms, ranging from novel to well-studied ones, with a focus on computational complexity.
deterministic bottom-up tree automata, automata minimisation, algorithm taxonomies