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arXiv · 1003.5512

Resource-Bound Quantification for Graph Transformation

Paolo Torrini·Reiko Heckel
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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.

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Paolo Torrini, Reiko Heckel. 2010-03-29. Resource-Bound Quantification for Graph Transformation. https://doi.org/10.4204/eptcs.22.2

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