A General Framework for Types in Graph Rewriting

A general framework for typing graph rewriting systems is presented: the idea is to statically derive a type graph from a given graph. In contrast to the original graph, the type graph is invariant under reduction, but still contains meaningful behaviour information. We present conditions, a type system for graph rewriting should satisfy, and a methodology for proving these conditions. In three case studies it is shown how to incorporate existing type systems (for the polyadic $\pi$-calculus and for a concurrent object-oriented calculus) and a new type system into the general framework.     «

A general framework for typing graph rewriting systems is presented: the idea is to statically derive a type graph from a given graph. In contrast to the original graph, the type graph is invariant under reduction, but still contains meaningful behaviour information. We present conditions, a type system for graph rewriting should satisfy, and a methodology for proving these conditions. In three case studies it is shown how to incorporate existing type systems (for the polyadic $\pi$-calculus and...     »