Synthesising interprocedural bit-precise termination proofs

Proving program termination is key to guaranteeing absence of undesirable behaviour, such as hanging programs and even security vulnerabilities such as denial-of-service attacks. To make termination checks scale to large systems, interprocedural termination analysis seems essential, which is a largely unexplored area of research in termination analysis, where most effort has focussed on difficult single-procedure problems. We present a modular termination analysis for C programs using template-based interprocedural summarisation. Our analysis combines a context-sensitive, over-approximating forward analysis with the inference of under-approximating preconditions for termination. Bit-precise termination arguments are synthesised over lexicographic linear ranking function templates. Our experimental results show that our tool 2LS outperforms state-of-the-art alternatives, and demonstrate the clear advantage of interprocedural reasoning over monolithic analysis in terms of efficiency, while retaining comparable precision

Bit-precise procedure-modular termination analysis

Non-termination is the root cause of a variety of program bugs, such as hanging programs and denial-of-service vulnerabilities. This makes an automated analysis that can prove the absence of such bugs highly desirable. To scale termination checks to large systems, an interprocedural termination analysis seems essential. This is a largely unexplored area of research in termination analysis, where most effort has focussed on small but difficult single-procedure problems. We present a modular termination analysis for C programs using template-based interprocedural summarisation. Our analysis combines a context-sensitive, over-approximating forward analysis with the inference of under-approximating preconditions for termination. Bit-precise termination arguments are synthesised over lexicographic linear ranking function templates. Our experimental results show the advantage of interprocedural reasoning over monolithic analysis in terms of efficiency, while retaining comparable precision.</jats:p

Automatically proving termination and memory safety for programs with pointer arithmetic

While automated verification of imperative programs has been studied intensively, proving termination of programs with explicit pointer arithmetic fully automatically was still an open problem. To close this gap, we introduce a novel abstract domain that can track allocated memory in detail. We use it to automatically construct a symbolic execution graph that over-approximates all possible runs of a program and that can be used to prove memory safety. This graph is then transformed into an integer transition system, whose termination can be proved by standard techniques. We implemented this approach in the automated termination prover AProVE and demonstrate its capability of analyzing C programs with pointer arithmetic that existing tools cannot handle

Synthesizing Non-Termination Proofs from Templates

Jednou z nejsložitěji verifikovaných vlastností programů v oblasti formální analýzy je živost. K jedné z metod ověřujících tuto vlastnost patří i dokazování neukončitelnosti programů. Naše práce popisuje návrh a implementaci dvou algoritmů ověřujících neukončitelnost. Inspirujeme se již existujícími přístupy, jako jsou rekurentní množiny a nadaproximace cyklů s využitím invariantů ve tvaru rekurentních relací. Hlavní výzvu pro nás představovalo přizpůsobení těchto algoritmů SSA (single static assignment) reprezentaci použité v 2LS a jejich celková integrace v našem frameworku. Vzpomínané přístupy se nám podařilo spojit do analýzy neukončitelnosti, která dosahuje nejlepší výsledky v porovnání s existujícími nástroji, které byly srovnané na soutěži SV-COMP 2017.One of the properties that are most difficult to verify in the area of formal analysis is liveness. Proving non-termination of programs also belongs to the methods that verify this property. Our work describes the design and implementation of two algorithms checking non-termination. We inspire ourselves by already existing approaches, such as recurrence sets and over-approximation of loops with the use of invariants in the form of recurrence relations. The main challenge for us was an adaptation of these algorithms to the SSA (single static assignment) representation used in 2LS and the overall integration in our framework. We were able to unify the mentioned approaches into analysis of non-termination, which achieves the best results in comparison to the other tools that were compared at the SV-COMP 2017 competition.

Towards Extending the Range of Bugs That Automated Program Repair Can Handle

Modern automated program repair (APR) is well-tuned to finding and repairing bugs that introduce observable erroneous behavior to a program. However, a significant class of bugs does not lead to such observable behavior (e.g., liveness/termination bugs, non-functional bugs, and information flow bugs). Such bugs can generally not be handled with current APR approaches, so, as a community, we need to develop complementary techniques. To stimulate the systematic study of alternative APR approaches and hybrid APR combinations, we devise a novel bug classification system that enables methodical analysis of their bug detection power and bug repair capabilities. To demonstrate the benefits, we analyze the repair of termination bugs in sequential and concurrent programs. The study shows that integrating dynamic APR with formal analysis techniques, such as termination provers and software model checkers, reduces complexity and improves the overall reliability of these repairs.Comment: Accepted for publication in the 22nd IEEE International Conference on Software Quality, Reliability and Security (QRS 2022

Combining SLiVER with CADP to Analyze Multi-agent Systems

International audienceWe present an automated workflow for the analysis of multi-agent systems described in a simple specification language. The procedure is based on a structural encoding of the input system and the property of interest into an LNT program, and relies on the CADP software toolbox to either verify the given property or simulate the encoded system. Counterexamples to properties under verification, as well as simulation traces, are translated into a syntax similar to that of the input language: therefore, no knowledge of CADP is required. The workflow is implemented as a module of the verification tool SLiVER. We present the input specification language, describe the analysis workflow, and show how to invoke SLiVER to verify or simulate two example systems. Then, we provide details on the LNT encoding and the verification procedure

Programming Languages and Systems

This open access book constitutes the proceedings of the 29th European Symposium on Programming, ESOP 2020, which was planned to take place in Dublin, Ireland, in April 2020, as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020. The actual ETAPS 2020 meeting was postponed due to the Corona pandemic. The papers deal with fundamental issues in the specification, design, analysis, and implementation of programming languages and systems

Tools and Algorithms for the Construction and Analysis of Systems

This open access two-volume set constitutes the proceedings of the 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2021, which was held during March 27 – April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The total of 41 full papers presented in the proceedings was carefully reviewed and selected from 141 submissions. The volume also contains 7 tool papers; 6 Tool Demo papers, 9 SV-Comp Competition Papers. The papers are organized in topical sections as follows: Part I: Game Theory; SMT Verification; Probabilities; Timed Systems; Neural Networks; Analysis of Network Communication. Part II: Verification Techniques (not SMT); Case Studies; Proof Generation/Validation; Tool Papers; Tool Demo Papers; SV-Comp Tool Competition Papers