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Parallelism of graph transformations for distributed state graphs is studied in the framework of the algebraic theory of graph grammars. The distributed parallelism theorem provides a bijective correspondence between distributed local derivations and parallel derivations of corresponding global states. This result holds for strict interface preserving derivations while in general distributed derivations...
Concepts for distribution of state graphs are discussed within the framework of the algebraic theory of graph grammars. First ideas and examples are presented concerning distributed derivations and distributed graph grammars which should be useful for graph theoretical specifications of distributed systems.
In the present paper we generalize the well-known PARALLELISM THEOREM for graph derivations to the AMALGAMATION THEOREM. In this theorem the assumption of ‘parallel independence’ is dropped. For each pair of productions together with a relational production (allowing productions to be associated with each other) we construct a single ‘amalgamated’ production. The AMALGAMATION THEOREM states that graph...
The algebraic approach to the semantics of (nonterminating) processes based on the metric completion of process algebras is extended in two directions. Instead of adopting the predefined metric, it is proposed to define the metric internally, using a suitable family of projections as part of the specification and deal with projection spaces rather than metric spaces. It is also proposed to define...
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