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arXiv · 2308.14077

An Analysis of On-the-fly Determinization of Finite-state Automata

Ivan Baburin·Ryan Cotterell
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Abstract

In this paper we establish an abstraction of on-the-fly determinization of finite-state automata using transition monoids and demonstrate how it can be applied to bound the asymptotics. We present algebraic and combinatorial properties that are sufficient for a polynomial state complexity of the deterministic automaton constructed on-the-fly. A special case of our findings is that automata with many non-deterministic transitions almost always admit a determinization of polynomial complexity. Furthermore, we extend our ideas to weighted finite-state automata.

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Ivan Baburin, Ryan Cotterell. 2023-08-27. An Analysis of On-the-fly Determinization of Finite-state Automata. https://arxiv.org/abs/2308.14077

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