Memory-Efficient Fixpoint Computation

by   Sung Kook Kim, et al.

Practical adoption of static analysis often requires trading precision for performance. This paper focuses on improving the memory efficiency of abstract interpretation without sacrificing precision or time efficiency. Computationally, abstract interpretation reduces the problem of inferring program invariants to computing a fixpoint of a set of equations. This paper presents a method to minimize the memory footprint in Bourdoncle's iteration strategy, a widely-used technique for fixpoint computation. Our technique is agnostic to the abstract domain used. We prove that our technique is optimal (i.e., it results in minimum memory footprint) for Bourdoncle's iteration strategy while computing the same result. We evaluate the efficacy of our technique by implementing it in a tool called MIKOS, which extends the state-of-the-art abstract interpreter IKOS. When verifying user-provided assertions, MIKOS shows a decrease in peak-memory usage to 4.07 average compared to IKOS. When performing interprocedural buffer-overflow analysis, MIKOS shows a decrease in peak-memory usage to 43.7 average compared to IKOS.



page 1

page 2

page 3

page 4


Abstract Interpretation of Binary Code with Memory Accesses using Polyhedra

In this paper we propose a novel methodology for static analysis of bina...

Deterministic Parallel Fixpoint Computation

Abstract interpretation is a general framework for expressing static pro...

Computing Abstract Distances in Logic Programs

Abstract interpretation is a well-established technique for performing s...

Thread-modular Analysis of Release-Acquire Concurrency

We present a thread-modular abstract interpretation(TMAI) technique to v...

Multivariant Assertion-based Guidance in Abstract Interpretation

Approximations during program analysis are a necessary evil, as they ens...

Demanded Abstract Interpretation (Extended Version)

We consider the problem of making expressive static analyzers interactiv...

Identifying Cache-Based Side Channels through Secret-Augmented Abstract Interpretation

Cache-based side channels enable a dedicated attacker to reveal program ...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.