Synthesis of Circular Compositional Program Proofs via Abduction

Boyang Li, Isil Dillig, Thomas Dillig, Kenneth L. McMillan, and Mooly Sagiv

Abstract

In this paper, we propose a technique for synthesizing circular compositional proofs of program correctness. Our technique uses abductive inference to decompose the proof into small lemmas, which are represented as small program fragments annotated with pre and post-conditions. Different verification tools can be used to discharge each different lemma, thereby combining the strengths of different verifiers. Furthermore, each lemma concerns the correctness of small syntactic fragments of the program, addressing scalability concerns. We have implemented this technique and used it combine four different verification tools. Our experiments show that our technique can be successfully used to verify applications that cannot be verified by any individual technique.

Details

Publication typeInproceedings
Published in19th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS)
PublisherSpringer
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