“…They have been successfully applied to model inhibitor and priority systems, asynchronous races, synthesis problems, etc. (see for example [11,26,16,17,18,19,20]). The name follows from the following result.…”
Comtraces (combined traces) are extensions of Mazurkiewicz traces that can model the "not later than" relationship. In this paper, we first introduce the novel notion of generalized comtraces, extensions of comtraces that can additionally model the "non-simultaneously" relationship. Then we study some basic algebraic properties and canonical reprentations of comtraces and generalized comtraces. Finally we analyze the relationship between generalized comtraces and generalized stratified order structures. The major technical contribution of this paper is a proof showing that generalized comtraces can be represented by generalized stratified order structures.
“…They have been successfully applied to model inhibitor and priority systems, asynchronous races, synthesis problems, etc. (see for example [11,26,16,17,18,19,20]). The name follows from the following result.…”
Comtraces (combined traces) are extensions of Mazurkiewicz traces that can model the "not later than" relationship. In this paper, we first introduce the novel notion of generalized comtraces, extensions of comtraces that can additionally model the "non-simultaneously" relationship. Then we study some basic algebraic properties and canonical reprentations of comtraces and generalized comtraces. Finally we analyze the relationship between generalized comtraces and generalized stratified order structures. The major technical contribution of this paper is a proof showing that generalized comtraces can be represented by generalized stratified order structures.
“…Automated synthesis from behavioural specifications is an attractive and powerful way of constructing correct concurrent systems [1,2,4,6,7,18,24]. Here we will re-visit the problem of synthesising a Petri net from a behavioural specification given in the form of a transition system.…”
Automated synthesis from behavioural specifications is an attractive and powerful way of constructing concurrent systems. Here we focus on the problem of synthesising a membrane system from a behavioural specification given in the form of a transition system which specifies the desired state space of the system to be constructed. We demonstrate how a Petri net solution to this problem, based on the notion of region of a transition system, yields a method of automated synthesis of membrane systems from state spaces.
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