English

Strong Equivalence of TAG and CCG

Formal Languages and Automata Theory 2022-05-17 v1 Computation and Language

Abstract

Tree-adjoining grammar (TAG) and combinatory categorial grammar (CCG) are two well-established mildly context-sensitive grammar formalisms that are known to have the same expressive power on strings (i.e., generate the same class of string languages). It is demonstrated that their expressive power on trees also essentially coincides. In fact, CCG without lexicon entries for the empty string and only first-order rules of degree at most 2 are sufficient for its full expressive power.

Keywords

Cite

@article{arxiv.2205.07743,
  title  = {Strong Equivalence of TAG and CCG},
  author = {Andreas Maletti and Lena Katharina Schiffer},
  journal= {arXiv preprint arXiv:2205.07743},
  year   = {2022}
}

Comments

30 pages, 6 figures, revised and extended version of paper appearing in Trans. ACL (2021) 9: 707-720