# Decomposing refinement proofs using assume-guarantee reasoning

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

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Author

Henzinger, Thomas A

^{ISTA}^{}; Qadeer, Shaz; Rajamani, SriramAbstract

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.

Publishing Year

Date Published

2000-01-01

Proceedings Title

Proceedings of the 2000 International Conference on Computer-Aided Design

Acknowledgement

Supported in part by DARPA Information Technology Office, by the MARC0 Gigascale Silicon Research Center, and by the National Science Foundation.

Page

245 - 252

Conference

ICCAD: Computer-Aided Design

Conference Location

San Jose, CA, USA

Conference Date

2000-11-05 – 2000-11-09

ISBN

IST-REx-ID

### Cite this

Henzinger TA, Qadeer S, Rajamani S. Decomposing refinement proofs using assume-guarantee reasoning. In:

*Proceedings of the 2000 International Conference on Computer-Aided Design*. IEEE; 2000:245-252. doi:10.1109/ICCAD.2000.896481Henzinger, T. A., Qadeer, S., & Rajamani, S. (2000). Decomposing refinement proofs using assume-guarantee reasoning. In

*Proceedings of the 2000 International Conference on Computer-Aided Design*(pp. 245–252). San Jose, CA, USA: IEEE. https://doi.org/10.1109/ICCAD.2000.896481Henzinger, Thomas A, Shaz Qadeer, and Sriram Rajamani. “Decomposing Refinement Proofs Using Assume-Guarantee Reasoning.” In

*Proceedings of the 2000 International Conference on Computer-Aided Design*, 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,” in

*Proceedings of the 2000 International Conference on Computer-Aided Design*, San Jose, CA, USA, 2000, pp. 245–252.Henzinger, Thomas A., et al. “Decomposing Refinement Proofs Using Assume-Guarantee Reasoning.”

*Proceedings of the 2000 International Conference on Computer-Aided Design*, IEEE, 2000, pp. 245–52, doi:10.1109/ICCAD.2000.896481.