Published in Volume XXIX, Issue 1, 2019, pages 59–80, doi: 10.7561/SACS.2019.1.59

Authors: G. Rahonis, F. Torpari

Abstract

We introduce and investigate weighted context-free grammars over an arbitrary bimonoid K. Thus, we do not assume that the operations of K are commutative or idempotent or they distribute over each other. We prove a Chomsky-Schützenberger type theorem for the series generated by our grammars. Moreover, we show that the class of series generated by weighted right-linear grammars over a linearly ordered alphabet Σ and K coincides with that of recognizable series over Σ and K.

Keywords: weights, context-free, grammars, bimonoids.

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Bibtex

@article{sacscuza:rahonis2019wcfgob,
  title={Weighted Context-Free Grammars Over Bimonoids},
  author={G. Rahonis, F. Torpari},
  journal={Scientific Annals of Computer Science},
  volume={29},
  number={1},
  organization={Alexandru Ioan Cuza University, Ia\c si, Rom\^ania},
  year={2019},
  pages={59–80},
  publisher={Alexandru Ioan Cuza University Press, Ia\c si},
  doi={10.7561/SACS.2019.1.59}
}