Chatterjee, KrishnenduISTA ; de Alfaro, Luca; Majumdar, Ritankar S
We study the problem of generating a test sequence that achieves maximal coverage for a reactive system under test. We formulate the problem as a repeated game between the tester and the system, where the system state space is partitioned according to some coverage criterion and the objective of the tester is to maximize the set of partitions (or coverage goals) visited during the game. We show the complexity of the maximal coverage problem for non-deterministic systems is PSPACE-complete, but is NP-complete for deterministic systems. For the special case of non-deterministic systems with a re-initializing “reset” action, which represent running a new test input on a re-initialized system, we show that the complexity is coNP-complete. Our proof technique for reset games uses randomized testing strategies that circumvent the exponentially large memory requirement of deterministic testing strategies.
This research was supported in part by the NSF grants CCR-0132780 and CNS-0720884.
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APLAS: Asian Symposium on Programming Languages and Systems
Chatterjee K, De Alfaro L, Majumdar R. The complexity of coverage. In: Vol 5356. Springer; 2008:91-106. doi:10.1007/978-3-540-89330-1_7
Chatterjee, K., De Alfaro, L., & Majumdar, R. (2008). The complexity of coverage (Vol. 5356, pp. 91–106). Presented at the APLAS: Asian Symposium on Programming Languages and Systems, Springer. https://doi.org/10.1007/978-3-540-89330-1_7
Chatterjee, Krishnendu, Luca De Alfaro, and Ritankar Majumdar. “The Complexity of Coverage,” 5356:91–106. Springer, 2008. https://doi.org/10.1007/978-3-540-89330-1_7.
K. Chatterjee, L. De Alfaro, and R. Majumdar, “The complexity of coverage,” presented at the APLAS: Asian Symposium on Programming Languages and Systems, 2008, vol. 5356, pp. 91–106.
Chatterjee K, De Alfaro L, Majumdar R. 2008. The complexity of coverage. APLAS: Asian Symposium on Programming Languages and Systems, LNCS, vol. 5356, 91–106.
Chatterjee, Krishnendu, et al. The Complexity of Coverage. Vol. 5356, Springer, 2008, pp. 91–106, doi:10.1007/978-3-540-89330-1_7.