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Computational Linguistics

Paola Merlo, Editor
March 2000, Vol. 26, No. 1, Pages 3-16
(doi: 10.1162/089120100561601)
© 2000 Association for Computational Linguistics
Incremental Construction of Minimal Acyclic Finite-State Automata
Article PDF (179.79 KB)

In this paper, we describe a new method for constructing minimal, deterministic, acyclic finite-state automata from a set of strings. Traditional methods consist of two phases: the first to construct a trie, the second one to minimize it. Our approach is to construct a minimal automaton in a single phase by adding new strings one by one and minimizing the resulting automaton on-the-fly. We present a general algorithm as well as a specialization that relies upon the lexicographical ordering of the input strings. Our method is fast and significantly lowers memory requirements in comparison to other methods.