Forbidden-Context & Ordered Grammar Systems

Fuente: arXiv
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Autori principali: Fernau, Henning, Kuppusamy, Lakshmanan, Schulz, Jana
Natura: Preprint
Pubblicazione: 2026
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author Fernau, Henning
Kuppusamy, Lakshmanan
Schulz, Jana
author_facet Fernau, Henning
Kuppusamy, Lakshmanan
Schulz, Jana
contents In this paper, we consider combining the ideas of forbidden random context grammars as well as of ordered grammars with cooperating distributed grammar systems (CDGS). We focus on investigating their generative capacities. Both ideas can be added to CDGS in two ways: either having (e.g.) a strict order of the rules in each component, or having a strict order on the components. This leads to four different scenarios, only some of them have been addressed in the literature before. While in the area of CDGS, many inclusions among language classes have been %are still open questions for decades, the proposed addition of forbidden random context and ordered regulation variants leads to a clear picture which allows us to get down to only five different classes of languages well known from classical regulated rewriting. This way, we also solve some open problems from the literature.
format Preprint
id arxiv_https___arxiv_org_abs_2604_19963
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Forbidden-Context & Ordered Grammar Systems
Fernau, Henning
Kuppusamy, Lakshmanan
Schulz, Jana
Formal Languages and Automata Theory
In this paper, we consider combining the ideas of forbidden random context grammars as well as of ordered grammars with cooperating distributed grammar systems (CDGS). We focus on investigating their generative capacities. Both ideas can be added to CDGS in two ways: either having (e.g.) a strict order of the rules in each component, or having a strict order on the components. This leads to four different scenarios, only some of them have been addressed in the literature before. While in the area of CDGS, many inclusions among language classes have been %are still open questions for decades, the proposed addition of forbidden random context and ordered regulation variants leads to a clear picture which allows us to get down to only five different classes of languages well known from classical regulated rewriting. This way, we also solve some open problems from the literature.
title Forbidden-Context & Ordered Grammar Systems
topic Formal Languages and Automata Theory
url https://arxiv.org/abs/2604.19963