Esma Balkir author Daniel Gildea author Shay B Cohen author 2020-jul text Association for Computational Linguistics Online conference publication Semiring parsing is an elegant framework for describing parsers by using semiring weighted logic programs. In this paper we present a generalization of this concept: latent-variable semiring parsing. With our framework, any semiring weighted logic program can be latentified by transforming weights from scalar values of a semiring to rank-n arrays, or tensors, of semiring values, allowing the modelling of latent-variable models within the semiring parsing framework. Semiring is too strong a notion when dealing with tensors, and we have to resort to a weaker structure: a partial semiring. We prove that this generalization preserves all the desired properties of the original semiring framework while strictly increasing its expressiveness. balkir-etal-2020-tensors https://www.aclweb.org/anthology/2020.iwpt-1.8 2020-jul 73 90