Fülöp, Zoltán and Herrmann, Luisa and Vogler, Heiko - Weighted Regular Tree Grammars with Storage

dmtcs:4660 - Discrete Mathematics & Theoretical Computer Science, July 3, 2018, Vol. 20 no. 1
Weighted Regular Tree Grammars with Storage

Authors: Fülöp, Zoltán and Herrmann, Luisa and Vogler, Heiko

We introduce weighted regular tree grammars with storage as combination of (a) regular tree grammars with storage and (b) weighted tree automata over multioperator monoids. Each weighted regular tree grammar with storage generates a weighted tree language, which is a mapping from the set of trees to the multioperator monoid. We prove that, for multioperator monoids canonically associated to particular strong bi-monoids, the support of the generated weighted tree languages can be generated by (unweighted) regular tree grammars with storage. We characterize the class of all generated weighted tree languages by the composition of three basic concepts. Moreover, we prove results on the elimination of chain rules and of finite storage types, and we characterize weighted regular tree grammars with storage by a new weighted MSO-logic.


Source : oai:arXiv.org:1705.06681
DOI : 10.23638/DMTCS-20-1-26
Volume: Vol. 20 no. 1
Section: Automata, Logic and Semantics
Published on: July 3, 2018
Submitted on: May 19, 2017
Keywords: Computer Science - Formal Languages and Automata Theory,F.1.1,F.4.1,F.4.3


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