Using well-structured transition systems to decide divergence for catalytic P systems

Decidability of Divergence for Catalytic P Systems

P systems are a biologically inspired model introduced by Gheorghe Păun with the aim of representing the structure and the functioning of the cell. Since their introduction, several variants of P systems have been proposed and explored. We concentrate on the class of catalytic P systems without priorities associated to the rules. We show that the divergence problem (i.e., checking for the exist...

Well-structured transition systems everywhere!

Ideal Abstractions for Well-Structured Transition Systems

Many infinite state systems can be seen as well-structured transition systems (WSTS), i.e., systems equipped with a well-quasi-ordering on states that is also a simulation relation. WSTS are an attractive target for formal analysis because there exist generic algorithms that decide interesting verification problems for this class. Among the most popular algorithms are acceleration-based forward...

Unfolding Concurrent Well-Structured Transition Systems

Our main objective is to combine partial-order methods with verification techniques for infinite-state systems in order to obtain efficient verification algorithms for concurrent infinite-state systems. Partial-order methods are commonly used in the analysis of finite systems consisting of many parallel components. In this paper we propose an extension of these methods to parallel compositions ...

Well Structured Transition Systems with History

We propose a formal model of concurrent systems in which the history of a computation is explicitly represented as a collection of events that provide a view of a sequence of configurations. In our model events generated by transitions become part of the system configurations leading to operational semantics with historical data. This model allows us to formalize what is usually done in symboli...