有限实例及以上的不变量

S. Conchon, A. Goel, S. Krstic, A. Mebsout, Fatiha Zaïdi
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引用次数: 36

摘要

验证具有任意数量进程的并发程序的安全特性是一个老难题。特别是,像FLASH这样复杂的参数化协议仍然超出了最先进的模型检查器的范围。在本文中,我们描述了一种名为BRAB的新算法,它能够自动推断出足够强大的不变量来证明像FLASH这样的协议。BRAB计算后向可达状态的过近似值,这些状态在系统的有限实例中被检查为不可达。然后将这些近似(候选不变量)与原始安全属性一起进行模型检查。该方法的完整性由一种机制来保证,该机制可以对过于粗糙的近似引入的虚假轨迹进行回溯。
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Invariants for finite instances and beyond
Verification of safety properties of concurrent programs with an arbitrary numbers of processes is an old challenge. In particular, complex parameterized protocols like FLASH are still out of the scope of state-of-the-art model checkers. In this paper, we describe a new algorithm, called BRAB, that is able to automatically infer invariants strong enough to prove a protocol like FLASH. BRAB computes over-approximations of backward reachable states that are checked to be unreachable in a finite instance of the system. These approximations (candidate invariants) are then model checked together with the original safety properties. Completeness of the approach is ensured by a mechanism for backtracking on spurious traces introduced by too coarse approximations.
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