Confluence for process verification
Theoretical Computer Science
Model checking
Partial-Order Methods for the Verification of Concurrent Systems: An Approach to the State-Explosion Problem
Relaxed Visibility Enhances Partial Order Reduction
Formal Methods in System Design
Lectures on Petri Nets I: Basic Models, Advances in Petri Nets, the volumes are based on the Advanced Course on Petri Nets
Decidability and Complexity of Petri Net Problems - An Introduction
Lectures on Petri Nets I: Basic Models, Advances in Petri Nets, the volumes are based on the Advanced Course on Petri Nets
Using Partial Orders to Improve Automatic Verification Methods
CAV '90 Proceedings of the 2nd International Workshop on Computer Aided Verification
All from One, One for All: on Model Checking Using Representatives
CAV '93 Proceedings of the 5th International Conference on Computer Aided Verification
Dynamic partial-order reduction for model checking software
Proceedings of the 32nd ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Exploring the Scope for Partial Order Reduction
ATVA '09 Proceedings of the 7th International Symposium on Automated Technology for Verification and Analysis
Compositional Analysis for Weak Stubborn Sets
ACSD '11 Proceedings of the 2011 Eleventh International Conference on Application of Concurrency to System Design
PETRI NETS'10 Proceedings of the 31st international conference on Applications and Theory of Petri Nets
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Literature on the stubborn set and similar state space reduction methods presents numerous seemingly ad-hoc conditions for selecting the transitions that are investigated in the current state. There are good reasons to believe that the choice between them has a significant effect on reduction results, but not much has been published on this topic. This article presents theoretical results and examples that aim at shedding light on the issue. Because the topic is extensive, we only consider the detection of deadlocks. We distinguish between different places where choices can be made and investigate their effects. It is usually impractical to aim at choices that are “best” in some sense. However, one non-trivial practical optimality result is proven.