# Decomposing refinement proofs using assume-guarantee reasoning

Henzinger TA, Qadeer S, Rajamani S. 2000. Decomposing refinement proofs using assume-guarantee reasoning. ICCAD: Computer-Aided Design, 245–252.

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Henzinger, Thomas A

^{IST Austria}^{}; Qadeer,Shaz; Rajamani, Sriram KAbstract

Model-checking algorithms can be used to verify, formally and automatically, if a low-level description of a design conforms with a high-level description. However, for designs with very large state spaces, prior to the application of an algorithm, the refinement-checking task needs to be decomposed into subtasks of manageable complexity. It is natural to decompose the task following the component structure of the design. However, an individual component often does not satisfy its requirements unless the component is put into the right context, which constrains the inputs to the component. Thus, in order to verify each component individually, we need to make assumptions about its inputs, which are provided by the other components of the design. This reasoning is circular: component A is verified under the assumption that context B behaves correctly, and symmetrically, B is verified assuming the correctness of A. The assume-guarantee paradigm provides a systematic theory and methodology for ensuring the soundness of the circular style of postulating and discharging assumptions in component-based reasoning.We give a tutorial introduction to the assume-guarantee paradigm for decomposing refinement-checking tasks. To illustrate the method, we step in detail through the formal verification of a processor pipeline against an instruction set architecture. In this example, the verification of a three-stage pipeline is broken up into three subtasks, one for each stage of the pipeline.

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Date Published

2000-01-01

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245 - 252

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ICCAD: Computer-Aided Design

IST-REx-ID

### Cite this

Henzinger TA, Qadeer S, Rajamani S. Decomposing refinement proofs using assume-guarantee reasoning. In: IEEE; 2000:245-252. doi:10.1109/ICCAD.2000.896481

Henzinger, T. A., Qadeer, S., & Rajamani, S. (2000). Decomposing refinement proofs using assume-guarantee reasoning (pp. 245–252). Presented at the ICCAD: Computer-Aided Design, IEEE. https://doi.org/10.1109/ICCAD.2000.896481

Henzinger, Thomas A, Shaz Qadeer, and Sriram Rajamani. “Decomposing Refinement Proofs Using Assume-Guarantee Reasoning,” 245–52. IEEE, 2000. https://doi.org/10.1109/ICCAD.2000.896481.

T. A. Henzinger, S. Qadeer, and S. Rajamani, “Decomposing refinement proofs using assume-guarantee reasoning,” presented at the ICCAD: Computer-Aided Design, 2000, pp. 245–252.

Henzinger, Thomas A., et al.

*Decomposing Refinement Proofs Using Assume-Guarantee Reasoning*. IEEE, 2000, pp. 245–52, doi:10.1109/ICCAD.2000.896481.