Artificial Intelligence - Special issue on knowledge representation
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Temporal Reasoning in Workflow Systems
Distributed and Parallel Databases
Conceptual Modeling of Temporal Clinical Workflows
TIME '07 Proceedings of the 14th International Symposium on Temporal Representation and Reasoning
Computational Complexity: A Modern Approach
Computational Complexity: A Modern Approach
Controllability in Temporal Conceptual Workflow Schemata
BPM '09 Proceedings of the 7th International Conference on Business Process Management
Temporal dynamic controllability revisited
AAAI'05 Proceedings of the 20th national conference on Artificial intelligence - Volume 3
TIME '09 Proceedings of the 2009 16th International Symposium on Temporal Representation and Reasoning
TIME '10 Proceedings of the 2010 17th International Symposium on Temporal Representation and Reasoning
Towards Temporal Controllabilities for Workflow Schemata
TIME '10 Proceedings of the 2010 17th International Symposium on Temporal Representation and Reasoning
A structural characterization of temporal dynamic controllability
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
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Recently, different kinds of controllability have been proposed for workflow schemata modeling real world processes made of tasks and coordination activities. Temporal controllability is the capability of executing a workflow for all possible durations of all tasks satisfying all temporal constraints. Three different types of controllability are possible -- strong controllability, history-dependent controllability, and weak controllability -- and a general exponential-time algorithm to determine the kind of controllability has been proposed. In this paper we analyze the computational complexity of the temporal controllability problem to verify the quality of proposed algorithms. We show that the weak controllability problem is coNP-complete, while strong controllability problem ε Σ2P and it is coNP-hard. Regarding the history-dependent controllability problem, we are able to show that it is a PSPACE problem but further research is required to determine its hardness characterization.