By Hartmut Ehrig, Claudia Ermel, Ulrike Golas, Frank Hermann
This booklet is a entire rationalization of graph and version transformation. It incorporates a distinctive advent, together with simple effects and purposes of the algebraic conception of graph alterations, and references to the old context. Then often half the e-book includes designated chapters on M-adhesive different types, M-adhesive transformation structures, and multi-amalgamated ameliorations, and version transformation according to triple graph grammars. within the ultimate a part of the ebook the authors learn program of the options in a number of domain names, together with chapters on case reports and gear help.
The ebook could be of curiosity to researchers and practitioners within the parts of theoretical computing device technology, software program engineering, concurrent and allotted structures, and visible modelling.
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Extra resources for Graph and Model Transformation: General Framework and Applications
Example text
5, leading to the resulting application condition Shift(v, ∀ (b6 , ∃ c6 )) = ∀ (d1 , ∃ e1 ∨ ∃ e2 ) ∧ ∀ (d2 , ∃ e3 ). Similarly to the shift construction, we can also merge a graph condition over a graph morphism. The difference lies in different injective morphisms to be required, with a being injective instead of b . Additionally, b has to be a match morphism for the merge construction, which is no restriction at all if the class of match morphisms contains all morphisms. Again, here we only explain this construction and give an example; for the full definition see Def.
15. Note, that the application condition ¬ ∃ c7 is translated into an application condition ¬ ∃ c7 , while we do not need an application condition for p8 . The construction of an amalgamated rule generalises the one of a parallel rule, where all rules are glued together along the subrule. Here, we only give the construc- 34 2 Graph Transformation active active P T R P T R P T F1 R P F1 R P F1 R 1,2 3,4 ¬ ∃ a˜ ∧ ¬ ∃ b˜ ∧ ¬ ∃ c˜ update P T R P r R P R 3 1 P l F1 R P F1 R T R P F1 R T R F1 update 4 2 m idle idle P T R idle P P 4 active active P active b c P F1 P F1 2 idle idle R idle R R 3 P T 1 P P H Fig.
For the consistency condition, we need the concept of initial pushouts. This is a categorical formalisation of boundary and context leading to the smallest pushout over a morphism. 3 Results for Graph Transformations active active active T P crit T P R F2 active T R P F2 crit idle crit T R F2 ∃a idle R T P crit idle P P 37 R F2 active P P idle P R P R T P T F1 active T F1 G R P H3 ∗ Fig. 18 The derived span of G = ⇒ H3 elements in the codomain are connected to. All these new elements and their connections are then collected in the context.