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The Ethereal
Glushkov's construction for functional subsequential transducers
August 05, 2020 ยท The Ethereal ยท ๐ arXiv.org
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Authors
Aleksander Mendoza-Drosik
arXiv ID
2008.02239
Category
cs.FL: Formal Languages
Cross-listed
cs.CL
Citations
1
Venue
arXiv.org
Last Checked
2 months ago
Abstract
Glushkov's construction has many interesting properties and they become even more evident when applied to transducers. This article strives to show the wast range of possible extensions and optimisations for this algorithm. Special flavour of regular expressions is introduced, which can be efficiently converted to $ฮต$-free functional subsequential weighted finite state transducers. Produced automata are very compact, as they contain only one state for each symbol (from input alphabet) of original expression and only one transition for each range of symbols, no matter how large. Such compactified ranges of transitions allow for efficient binary search lookup during automaton evaluation. All the methods and algorithms presented here were used to implement open-source compiler of regular expressions for multitape transducers.
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