# Reversibility and Composition of Rewriting in Hierarchies

@inproceedings{Harmer2020ReversibilityAC, title={Reversibility and Composition of Rewriting in Hierarchies}, author={Russell Harmer and Eugenia Oshurko}, booktitle={GCM@STAF}, year={2020} }

In this paper we study how SqPO rewriting of individual objects and hierarchies of objects can be reversed and how the composition of rewrites can be constructed. We introduce the notion of a rule hierarchy , study how such rule hierarchies can be applied to object hierarchies and analyse the conditions under which this application is reversible. We then present a theory for constructing the composition of consecutive hierarchy rewrites. We further illustrate how the reversibility and…

## 2 Citations

### Computational Category-Theoretic Rewriting

- Computer ScienceICGT
- 2022

It is demonstrated how category theory provides speciﬁcations that can be implemented via imperative algorithms and applied to the process of graph rewriting, and how this paradigm of software development makes it easy to quickly write correct and performant code.

### Concurrency Theorems for Non-linear Rewriting Theories

- Computer ScienceICGT
- 2021

A suitable concurrency theorem for non-linear SqPO-rewriting in categories that are quasi-topoi (subsuming the example of adhesive categories) and with matches required to be regular monomorphisms of the given category is developed.

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