English

On the Generative Capacity of Contextual Grammars with Strictly Locally Testable Selection Languages

Formal Languages and Automata Theory 2022-09-01 v1

Abstract

We continue the research on the generative capacity of contextual grammars where contexts are adjoined around whole words (externally) or around subwords (internally) which belong to special regular selection languages. All languages generated by contextual grammars where all selection languages are elements of a certain subregular language family form again a language family. We investigate contextual grammars with strictly locally testable selection languages and compare those families to families which are based on finite, monoidal, nilpotent, combinational, definite, suffix-closed, ordered, commutative, circular, non-counting, power-separating, or union-free languages.

Keywords

Cite

@article{arxiv.2208.14725,
  title  = {On the Generative Capacity of Contextual Grammars with Strictly Locally Testable Selection Languages},
  author = {Jürgen Dassow and Bianca Truthe},
  journal= {arXiv preprint arXiv:2208.14725},
  year   = {2022}
}

Comments

In Proceedings NCMA 2022, arXiv:2208.13015