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By Carlo Ghezzi (auth.), Andrea Corradini, Hartmut Ehrig, Hans -Jörg Kreowski, Grzegorz Rozenberg (eds.)
ICGT 2002 used to be the ?rst foreign convention on Graph Transformation following a chain of six overseas workshops on graph grammars with - plications in desktop technological know-how, held in undesirable Honnef (1978), Osnabruc ¨ ok (1982), Warrenton (1986), Bremen (1990), Williamsburg (1994), and Paderborn (1998). ICGT 2002 used to be held in Barcelona (Spain), October 7–12, 2002 below the a- pices of the eu organization of Theoretical laptop technology (EATCS), the eu organization of software program technological know-how and expertise (EASST), and the IFIP operating staff 1.3, Foundations of structures Speci?cation. The scope of the convention involved graphical constructions of assorted types (like graphs, diagrams, visible sentences and others) which are necessary to explain advanced constructions and platforms in a right away and intuitive method. those buildings are frequently augmented by way of formalisms which upload to the static description a different measurement, taking into consideration the modeling of the evolution of structures through every kind of differences of such graphical constructions. The ?eld of Graph Transformation is anxious with the idea, functions, and implementation problems with such formalisms. the speculation is strongly relating to components similar to graph concept and graph - gorithms, formal language and parsing concept, the idea of concurrent and dispensed platforms, formal speci?cation and veri?cation, common sense, and semantics.
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Extra info for Graph Transformation: First International Conference, ICGT 2002 Barcelona, Spain, October 7–12, 2002 Proceedings
Example text
Is called the covering tower. The next proposition presents a central result of this paper. For technical reasons we consider the full subcategory PG∗ of PG having as objects Petri graphs in which every edge is coverable and every transition can be fired. Proposition 20 (unfolding as limit of the coverings). The limit in the υk+1 υ υ category PG∗ of the covering tower C 0 (G) ←0 . . C k (G) ←k C k+1 (G) ← . . is the full unfolding U(G) of the graph grammar. 5 Checking Temporal Properties In this section we illustrate how our technique can be seen as a specific instance of abstract interpretation [7,17].
Montanari, and G. Rozenberg, editors. Handbook of Graph Grammars and Computing by Graph Transformation, Vol. 2: Concurrency, Parallelism and Distribution. World Scientific, 1999. 12. J. Esparza. Model checking using net unfoldings. Science of Computer Programming, 23(2–3):151–195, 1994. 13. J. Esparza. Decidability of model-checking for infinite-state concurrent systems. Acta Informatica, 34:85–107, 1997. 14. T. Genet. Decidable approximations of sets of descendants and sets of normal forms. In T.
Subsequently we discuss these 1 Arch. two concepts in terms of an abG FG Graph stract example. That is we do 3 2 not assume a specific specifica∆ tion technique; it might be graphs, sp1 Petri nets, algebraic specifications, Cat Spec. ∆(G) Diagr. COMMUNITY programs, or someFG sp2 sp3 Cat thing else. The main feature is that we have distinct abstraction levCOLIM COLIM els of representation. Namely, we sp1 present an architecture graph and Sem corresponding diagrams of specifisp2 sp3 COLIM(∆ (G)) Cat cations, that is the left column in Fig.