Expressive power under context-free and linear restrictions

Characterize the classes of musical compositions that can be orchestrated by n-generative rule-synchronized music grammar systems when each component grammar is restricted to context-free rules or, more strongly, to linear rules.

Background

The current system relies on scattered context grammars in each component to capture complex interdependencies across instruments. The authors propose restricting components to simpler rule families (context-free, linear) and pose the question of what music remains generable under such constraints.

This seeks a fine-grained understanding of the expressive trade-offs between more powerful synchronized rewriting and simpler grammar components.

References

Although we have described this kind of orchestration in a rather great detail, there still remain many open problem areas related to the subject of this paper. Next, we suggest five of them. (3) Restrict the systems from Section~\ref{sec:Definitions} so they can use only context-free or even linear rules. What kind of music can be orchestrated by systems restricted in this way?

Orchestration of Music by Grammar Systems (2507.15314 - Makiš et al., 21 Jul 2025) in Section Conclusion, item (3)