Title
Safety of Parametrized Asynchronous Shared-Memory Systems is Almost Always Decidable.
Abstract
Verification of concurrent systems is a difficult problem in general, and this is the case even more in a parametrized setting where unboundedly many concurrent components are considered. Recently, Hague proposed an architecture with a leader process and unboundedly many copies of a contributor process interacting over a shared memory for which safety properties can be effectively verified. All processes in Hagueu0027s setting are pushdown automata. Here, we extend it by considering other formal models and, as a main contribution, find very liberal conditions on the individual processes under which the safety problem is decidable: the only substantial condition we require is the effective computability of the downward closure for the class of the leader processes. Furthermore, our result allows for a hierarchical approach to constructing models of concurrent systems with decidable safety problem: networks with tree-like architecture, where each process shares a register with its children processes (and another register with its parent). Nodes in such networks can be for instance pushdown automata, Petri nets, or multi-pushdown systems with decidable reachability problem.
Year
Venue
Field
2015
CONCUR
Discrete mathematics,Asynchronous communication,Petri net,Shared memory,Computer science,Decidability,Computability,Theoretical computer science,Pushdown automaton,Reachability problem,Almost surely
DocType
Citations 
PageRank 
Conference
6
0.46
References 
Authors
0
3
Name
Order
Citations
PageRank
Salvatore La Torre191252.42
Anca Muscholl2117974.92
Igor Walukiewicz3123990.24