论文标题

带有归纳定义的分离逻辑的零件检查是2-隔离的困难

Entailment Checking in Separation Logic with Inductive Definitions is 2-EXPTIME hard

论文作者

Echenim, Mnacho, Iosif, Radu, Peltier, Nicolas

论文摘要

与归纳谓词(也称为象征性堆)之间的分离逻辑公式之间的需要证明,对于大量的归纳定义是可决定的。最近,提出了一种2-隔离算法,并建立了一个限制算法。但是,尚无确切的下限。在本文中,我们表明,决定谓词原子之间的需要是2-脱皮的。该证明是基于从成员问题中减少指数空间有限交替的图灵机。

The entailment between separation logic formulae with inductive predicates, also known as symbolic heaps, has been shown to be decidable for a large class of inductive definitions. Recently, a 2-EXPTIME algorithm was proposed and an EXPTIME-hard bound was established; however no precise lower bound is known. In this paper, we show that deciding entailment between predicate atoms is 2-EXPTIME-hard. The proof is based on a reduction from the membership problem for exponential-space bounded alternating Turing machines.

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