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Incremental construction of minimal acyclic finite-state automata

Jan Daciuk·Stoyan Mihov·Bruce Watson·Richard Watson
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Abstract

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.

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Jan Daciuk, Stoyan Mihov, Bruce Watson, Richard Watson. 2000-07-06. Incremental construction of minimal acyclic finite-state automata. https://arxiv.org/abs/cs/0007009

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