English

Resource-Bound Quantification for Graph Transformation

Logic in Computer Science 2010-03-30 v1

Abstract

Graph transformation has been used to model concurrent systems in software engineering, as well as in biochemistry and life sciences. The application of a transformation rule can be characterised algebraically as construction of a double-pushout (DPO) diagram in the category of graphs. We show how intuitionistic linear logic can be extended with resource-bound quantification, allowing for an implicit handling of the DPO conditions, and how resource logic can be used to reason about graph transformation systems.

Keywords

Cite

@article{arxiv.1003.5512,
  title  = {Resource-Bound Quantification for Graph Transformation},
  author = {Paolo Torrini and Reiko Heckel},
  journal= {arXiv preprint arXiv:1003.5512},
  year   = {2010}
}
R2 v1 2026-06-21T15:03:50.573Z