Graph rewriting and relabeling with PBPO+: A unifying theory for quasitoposes
We extend the powerful Pullback-Pushout (PBPO) approach for graph rewriting with strong matching. Our approach, called PBPO+, allows more control over the embedding of the pattern in the host graph, which is important for a large class of rewrite systems. We argue that PBPO+ can be considered a unif...
Uložené v:
| Vydané v: | Journal of logical and algebraic methods in programming Ročník 133; s. 100873 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier Inc
01.06.2023
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| ISSN: | 2352-2208 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | We extend the powerful Pullback-Pushout (PBPO) approach for graph rewriting with strong matching. Our approach, called PBPO+, allows more control over the embedding of the pattern in the host graph, which is important for a large class of rewrite systems. We argue that PBPO+ can be considered a unifying theory in the general setting of quasitoposes, by demonstrating that PBPO+ can define a strict superset of the rewrite relations definable by PBPO, AGREE and DPO. Additionally, we show that PBPO+ is well suited for rewriting labeled graphs and some classes of attributed graphs, by introducing a lattice structure on the label set and requiring graph morphisms to be order-preserving. |
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| ISSN: | 2352-2208 |
| DOI: | 10.1016/j.jlamp.2023.100873 |