[PDF] Top 20 Volume 14: Petri Nets and Graph Transformations 2008

... on Petri Nets and Graph Transformations, which is currently at its third edi- tion, is focused on the mutual relationship between two prominent specification formalisms for concurrency and ... See full document

... primitives in their code. Albeit not having any impact on the semantics of programs 2 , this is not ideal as it forces programmers to reason on which region of the code debugging primitives must be put which is typically ... See full document

... 3. Concurrency: Through parallelism, the summary of several independent direct transfor- mations into one equivalent direct transformation is possible. However, in general there are dependencies between several direct ... See full document

... the Petri net type graph, we now define the obvious translation from Petri nets and Petri systems to typed attributed ...to graph transformations which do not correspond ... See full document

... embedding transformations into larger contexts, and the Local Conflu- ence Theorem that allows showing local confluence of transformation systems on the basis of the confluence of critical ... See full document

... The essence of this abstraction technique is to derive a cardinality PN, which simulates the original GTS by abstracting from the structure of instance graphs and only counting the number of elements (nodes or edges) of ... See full document

... leader has two new tasks. One task is to assess the situation by evaluating the previously taken gas reading. This task is inserted by using the transformation rule in Figure 18. This transformation rule has the ... See full document

... Object Nets (RONs) have been implemented in our group to support the visual specification of controlled rule-based transformations of marked place/transition (P/T) ...high-level nets (system ... See full document

... low-level Petri nets, the tokens are ...of Petri nets with data type descriptions has led to high-level nets as powerful specification techniques like alge- braic high-level (AHL) ... See full document

... Example 1 (Place/Transition Nets with Individual Tokens) Figure 1 shows an example of a PTI net modeling a simple network which consists of several clients. These clients can communicate with each other only ... See full document

... of graph transformation systems [EEPT06]. While transformations of AHL-nets are introduced already in [PER95] the corre- sponding problem for AHL-processes is much more difficult as shown explicitely ... See full document

... tool, performs the analysis of Petri net transformations by analyzing corresponding graph transformations using the AGG-tool. Up to now, this correspondence has been implemented as a converter ... See full document

... to all kinds of nets, independent from the number of philosophers. In the bottom, the application of this rule to the AHL net in Figure 2 is shown, where the library has been introduced. Note that also the ... See full document

... Petri nets. The main idea is the stepwise development of place/transition nets by applying net transformation rules [EHP + 08, ...of Petri nets and allows in addition to the well known ... See full document

... type graph T is statically fixed and cannot change at ...larger graph that is (isomorphic to) their disjoint union modulo the collapsing of some common ...(DPO graph grammar) A (T -typed ... See full document

... our nets in order to evaluate them and suggest improvements or ...of Petri nets in a categorical instead of a set theoretical way ...of Petri nets to model the triggering changes and ... See full document

... instance graph, then the corresponding transition can always be fired in the corresponding marking in the P/T net, furthermore, the result marking is an abstraction of the result ... See full document

... of Petri nets and of graph transformation, the workshop gathers researchers working in the field of low- and high-level Petri nets, and researchers working in the field of rewriting, ... See full document

... the Petri graph depicted in Figure 2(a). While the graph component is drawn as before, the Petri net transitions are depicted by small rectangular boxes with dashed lines connecting them to ... See full document

... In order to establish the basic concepts we shall consider a concrete example, working in the category C of directed graphs whose vertices are tagged with the elements of a set; the presheaf topos C = Set ·→· ⇔ · . The ... See full document