An assume-guarantee rule for checking simulation

T.A. Henzinger, S. Qadeer, S. Rajamani, S. Tasiran, ACM Transactions on Programming Languages and Systems (TOPLAS) 24 (2002) 51–64.

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Abstract
The simulation preorder on state transition systems is widely accepted as a useful notion of refinement, both in its own right and as an efficiently checkable sufficient condition for trace containment. For composite systems, due to the exponential explosion of the state space, there is a need for decomposing a simulation check of the form P ≤s Q, denoting "P is simulated by Q," into simpler simulation checks on the components of P and Q. We present an assume-guarantee rule that enables such a decomposition. To the best of our knowledge, this is the first assume-guarantee rule that applies to a refinement relation different from trace containment. Our rule is circular, and its soundness proof requires induction on trace trees. The proof is constructive: given simulation relations that witness the simulation preorder between corresponding components of P and Q, we provide a procedure for constructing a witness relation for P ≤s Q. We also extend our assume-guarantee rule to account for fairness constraints on transition systems.
Publishing Year
Date Published
2002-01-01
Journal Title
ACM Transactions on Programming Languages and Systems (TOPLAS)
Volume
24
Issue
1
Page
51 - 64
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Henzinger TA, Qadeer S, Rajamani S, Tasiran S. An assume-guarantee rule for checking simulation. ACM Transactions on Programming Languages and Systems (TOPLAS). 2002;24(1):51-64. doi:10.1145/509705.509707
Henzinger, T. A., Qadeer, S., Rajamani, S., & Tasiran, S. (2002). An assume-guarantee rule for checking simulation. ACM Transactions on Programming Languages and Systems (TOPLAS), 24(1), 51–64. https://doi.org/10.1145/509705.509707
Henzinger, Thomas A, Shaz Qadeer, Sriram Rajamani, and Serdar Tasiran. “An Assume-Guarantee Rule for Checking Simulation.” ACM Transactions on Programming Languages and Systems (TOPLAS) 24, no. 1 (2002): 51–64. https://doi.org/10.1145/509705.509707.
T. A. Henzinger, S. Qadeer, S. Rajamani, and S. Tasiran, “An assume-guarantee rule for checking simulation,” ACM Transactions on Programming Languages and Systems (TOPLAS), vol. 24, no. 1, pp. 51–64, 2002.
Henzinger TA, Qadeer S, Rajamani S, Tasiran S. 2002. An assume-guarantee rule for checking simulation. ACM Transactions on Programming Languages and Systems (TOPLAS). 24(1), 51–64.
Henzinger, Thomas A., et al. “An Assume-Guarantee Rule for Checking Simulation.” ACM Transactions on Programming Languages and Systems (TOPLAS), vol. 24, no. 1, ACM, 2002, pp. 51–64, doi:10.1145/509705.509707.

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