A stubborn attack on state explosion
Formal Methods in System Design - Special issue on computer-aided verification: special methods I
Formal Methods in System Design
Partial-Order Methods for the Verification of Concurrent Systems: An Approach to the State-Explosion Problem
Combining Partial Order Reductions with On-the-fly Model-Checking
CAV '94 Proceedings of the 6th International Conference on Computer Aided Verification
Using Partial Orders for the Efficient Verification of Deadlock Freedom and Safety Properties
CAV '91 Proceedings of the 3rd International Workshop on Computer Aided Verification
Cluster-Based Partial-Order Reduction
Automated Software Engineering
Depth-first search and linear grajh algorithms
SWAT '71 Proceedings of the 12th Annual Symposium on Switching and Automata Theory (swat 1971)
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The problem of state space search is fundamental to many areas of computer science, such as, e.g., AI and formal methods. Often, the state space to be searched is huge, so optimizing the search is an important issue. In this paper, we consider the problem of visiting all states in the setting where transitions between states are generated by actions, and the (reachable) states are not known in advance. Some of the actions may commute, i.e., they result in the same state for every order in which they are taken. We show how to use commutativity to achieve full coverage of the states, while traversing a relatively small number of edges.