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Composition Closure of Linear Weighted Extended Top-Down Tree Transducers

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11601))

Abstract

Linear weighted extended top-down tree transducers with regular look-ahead and with weights from a semiring are formal models that are used in syntax-based statistical machine translation. The composition hierarchies of some restricted versions of such weighted tree transducers (also without regular look-ahead) are considered. In particular, combinations of the restrictions of \(\varepsilon \)-freeness (all rules consume input), nondeletion, and strictness (all rules produce output) are considered. The composition hierarchy is shown to be finite for all but one \(\varepsilon \)-free variant of these weighted transducers over any commutative semiring.

Z. Fülöp—Supported by NKFI grant K 108 448 and by grant 20391-3/2018/FEKUSTRAT of the Ministry of Human Capacities, Hungary.

A. Maletti—Partially supported by the DFG research training group 1763 ‘QuantLA’.

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Fülöp, Z., Maletti, A. (2019). Composition Closure of Linear Weighted Extended Top-Down Tree Transducers. In: Hospodár, M., Jirásková, G. (eds) Implementation and Application of Automata. CIAA 2019. Lecture Notes in Computer Science(), vol 11601. Springer, Cham. https://doi.org/10.1007/978-3-030-23679-3_11

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  • DOI: https://doi.org/10.1007/978-3-030-23679-3_11

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