Algorithmic analysis of programs with well quasi-ordered domains
Information and Computation - Special issue: LICS 1996—Part 1
Well-structured transition systems everywhere!
Theoretical Computer Science
Model checking of systems with many identical timed processes
Theoretical Computer Science
General decidability theorems for infinite-state systems
LICS '96 Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science
On Model Checking for Non-Deterministic Infinite-State Systems
LICS '98 Proceedings of the 13th Annual IEEE Symposium on Logic in Computer Science
On the Verification of Broadcast Protocols
LICS '99 Proceedings of the 14th Annual IEEE Symposium on Logic in Computer Science
Functional specification of synchronized processes based on modal logic
ICSE '82 Proceedings of the 6th international conference on Software engineering
Regular model checking without transducers (on efficient verification of parameterized systems)
TACAS'07 Proceedings of the 13th international conference on Tools and algorithms for the construction and analysis of systems
Parameterized verification of infinite-state processes with global conditions
CAV'07 Proceedings of the 19th international conference on Computer aided verification
Handling parameterized systems with non-atomic global conditions
VMCAI'08 Proceedings of the 9th international conference on Verification, model checking, and abstract interpretation
Automated termination in model checking modulo theories
RP'11 Proceedings of the 5th international conference on Reachability problems
Model checking languages of data words
FOSSACS'12 Proceedings of the 15th international conference on Foundations of Software Science and Computational Structures
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We present a tutorial on verification of safety properties for parameterized systems. Such a system consists of an arbitrary number of processes; the aim is to prove correctness of the system regardless of the number of processes inside the system. First, we consider a class of parameterized systems whose behaviours can be captured exactly as Petri nets using counter abstraction. This allows analysis using the framework of monotonic transition systems introduced in [1]. Then, we consider parameterized systems for which there is no natural ordering which allows monotonicity. We describe the method of monotonic abstraction which provides an over-approximation of the transition system. We consider both systems where the over-approximation gives rise to reset Petri nets, and systems where the abstract transition relation is a set of rewriting rules on words over a finite alphabet.