Skip to Main content Skip to Navigation
Conference papers

On the Grammatical Complexity of Finite Languages

Abstract : We study the grammatical production complexity of finite languages w.r.t. (i) different interpretations of approximation, i.e., equivalence, cover, and scattered cover, and (ii) whether the underlying grammar generates a finite or infinite language. In case the generated language is infinite, the intersection with all words up to a certain length has to be considered in order to obtain the finite language under consideration. In this way, we obtain six different measures for regular, linear context-free, and context-free grammars. We compare these measures according to the taxonomy introduced in [J. Dassow, Gh. Păun: Regulated Rewriting in Formal Language Theory, 1989] with each other by fixing the grammar type and varying the complexity measure and the other way around, that is, by fixing the complexity measure and varying the grammar type. In both of these cases, we develop an almost complete picture, which gives new and interesting insights into the old topic of grammatical production complexity.
Document type :
Conference papers
Complete list of metadata

Cited literature [11 references]  Display  Hide  Download
Contributor : Hal Ifip <>
Submitted on : Friday, October 26, 2018 - 8:01:16 AM
Last modification on : Friday, October 26, 2018 - 8:05:08 AM
Long-term archiving on: : Sunday, January 27, 2019 - 12:41:20 PM


Files produced by the author(s)


Distributed under a Creative Commons Attribution 4.0 International License



Markus Holzer, Simon Wolfsteiner. On the Grammatical Complexity of Finite Languages. 20th International Conference on Descriptional Complexity of Formal Systems (DCFS), Jul 2018, Halifax, NS, Canada. pp.151-162, ⟨10.1007/978-3-319-94631-3_13⟩. ⟨hal-01905630⟩



Record views


Files downloads