Frame inference for inductive entailment proofs in separation logic

• Main Authors: LE, Quang Loc, SUN, Jun, QIN, Shengchao
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2018
• Subjects: Software Engineering
• Online Access: https://ink.library.smu.edu.sg/sis_research/4658; https://ink.library.smu.edu.sg/context/sis_research/article/5661/viewcontent/Tools_and_Algorithms_for_the_Construction_and_Analysis_of_Systems.pdf
• Institution: Singapore Management University

Given separation logic formulae A and C, frame inference is the problem of checking whether A entails C and simultaneously inferring residual heaps. Existing approaches on frame inference do not support inductive proofs with general inductive predicates. In this work, we present an automatic frame inference approach for an expressive fragment of separation logic. We further show how to strengthen the inferred frame through predicate normalization and arithmetic inference. We have integrated our approach into an existing verification system. The experimental results show that our approach helps to establish a number of non-trivial inductive proofs which are beyond the capability of all existing tools.