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arXiv · 1610.05867

Synthesis from Assume-Guarantee Contracts using Skolemized Proofs of Realizability

Andreas Katis·Grigory Fedyukovich·Andrew Gacek·John Backes·Arie Gurfinkel·Michael W. Whalen
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Abstract

The realizability problem in requirements engineering is to determine the existence of an implementation that meets the given formal requirements. A step forward after realizability is proven, is to construct such an implementation automatically, and thus solve the problem of program synthesis. In this paper, we propose a novel approach to pro- gram synthesis guided by k-inductive proofs of realizability of assume- guarantee contracts constructed from safety properties. The proof of re- alizability is performed over a set of forall-exists formulas, and synthesis is per- formed by extracting Skolem functions witnessing the existential quan- tification. These Skolem functions can then be combined into an imple- mentation. Our approach is implemented in the JSyn tool which con- structs Skolem functions from a contract written in a variant of the Lus- tre programming language and then compiles the Skolem functions into a C language implementation. For a variety of benchmark models that already contained hand-written implementations, we are able to identify the usability and effectiveness of the synthesized counterparts, assuming a component-based verification framework.

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Andreas Katis, Grigory Fedyukovich, Andrew Gacek, John Backes, Arie Gurfinkel, Michael W. Whalen. 2016-10-19. Synthesis from Assume-Guarantee Contracts using Skolemized Proofs of Realizability. https://arxiv.org/abs/1610.05867

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