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We present a novel proof by induction algorithm, which combines k-induction with invariants to model check C programs with bounded and unbounded loops. The k-induction algorithm consists of three cases: in the base case, we aim to find a…

Logic in Computer Science · Computer Science 2015-02-10 Herbert Rocha , Hussama Ismail , Lucas Cordeiro , Raimundo Barreto

Symbolic execution is a software verification technique symbolically running programs and thereby checking for bugs. Ranged symbolic execution performs symbolic execution on program parts, so called path ranges, in parallel. Due to the…

Software Engineering · Computer Science 2024-06-28 Jan Haltermanna , Marie-Christine Jakobs , Cedric Richter , Heike Wehrheim

Detecting non-termination is crucial for ensuring program correctness and security, such as preventing denial-of-service attacks. While termination analysis has been studied for many years, existing methods have limited scalability and are…

Software Engineering · Computer Science 2023-12-07 Yao Zhang , Xiaofei Xie , Yi Li , Sen Chen , Cen Zhang , Xiaohong Li

This paper studies the constrained/safe reinforcement learning (RL) problem with sparse indicator signals for constraint violations. We propose a model-based approach to enable RL agents to effectively explore the environment with unknown…

Artificial Intelligence · Computer Science 2021-03-09 Zuxin Liu , Hongyi Zhou , Baiming Chen , Sicheng Zhong , Martial Hebert , Ding Zhao

Modern software systems have become increasingly complex, which makes them difficult to test and validate. Detecting software partial anomalies in complex systems at runtime can assist with handling unintended software behaviors, avoiding…

Software Engineering · Computer Science 2022-04-27 Shiyi Kong , Jun Ai , Minyan Lu , Shuguang Wang , W. Eric Wong

We consider the problem of bounded model checking (BMC) for linear temporal logic (LTL). We present several efficient encodings that have size linear in the bound. Furthermore, we show how the encodings can be extended to LTL with past…

Logic in Computer Science · Computer Science 2017-01-11 Armin Biere , Keijo Heljanko , Tommi Junttila , Timo Latvala , Viktor Schuppan

To maximize the information gained from a single execution when verifying a concurrent system, one can derive all concurrency-aware equivalent executions and check them against linear specifications. This paper offers an alternative…

Logic in Computer Science · Computer Science 2025-07-08 Martin Leucker

State-space reduction techniques, used primarily in model-checkers, all rely on the idea that some actions are independent, hence could be taken in any (respective) order while put in parallel, without changing the semantics. It is thus not…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-03 Lisbeth Fajstrup , Eric Goubault , Emmanuel Haucourt , Samuel Mimram , Martin Raussen

The CEGAR loop in software model checking notoriously diverges when the abstraction refinement procedure does not derive a loop invariant. An abstraction refinement procedure based on an SMT solver is applied to a trace, i.e., a restricted…

Logic in Computer Science · Computer Science 2017-02-09 Marius Greitschus , Daniel Dietsch , Andreas Podelski

Although recent tool-augmented benchmarks involve complex requests, evaluation remains limited to answer matching, neglecting critical trajectory aspects like efficiency, hallucination, and adaptivity. The most straightforward method for…

Artificial Intelligence · Computer Science 2026-05-26 Wonjoong Kim , Sangwu Park , Yeonjun In , Sein Kim , Dongha Lee , Chanyoung Park

Code generation and understanding are critical capabilities for large language models (LLMs). Thus, most LLMs are pretrained and fine-tuned on code data. However, these datasets typically treat code as static strings and rarely exploit the…

Runtime verification is a lightweight verification technique that complements model checking by analyzing system executions at runtime rather than exploring a complete system model in advance. It is particularly useful for partially…

Logic in Computer Science · Computer Science 2026-04-30 Benedikt Bollig

In software engineering, deep learning models are increasingly deployed for critical tasks such as bug detection and code review. However, overfitting remains a challenge that affects the quality, reliability, and trustworthiness of…

Software Engineering · Computer Science 2024-05-21 Hao Li , Gopi Krishnan Rajbahadur , Dayi Lin , Cor-Paul Bezemer , Zhen Ming , Jiang

Recent years have seen growing interest in the retrofitting of type systems onto dynamically-typed programming languages, in order to improve type safety, programmer productivity, or performance. In such cases, type system developers must…

Programming Languages · Computer Science 2016-05-05 Esben Andreasen , Colin S. Gordon , Satish Chandra , Manu Sridharan , Frank Tip , Koushik Sen

Model predictive control (MPC) is widely used in industries but implementing it poses challenges due to hardware or time constraints. A promising solution is to approximate the MPC policy using function approximators like neural networks.…

Optimization and Control · Mathematics 2026-05-08 Chenchen Zhou , Yi Cao , Shuang-hua Yang

In controlled industrial environments, ensuring safety and performance during controller tuning is a challenging and critical task. In particular, control loops in compressor-plenum-throttle systems cannot tolerate costly interruptions, and…

Optimization and Control · Mathematics 2025-12-04 Margarita A. Guerrero , Rodrigo A. González , Cristian R. Rojas

Retrograde analysis reads programs from the end to the beginning: treat statements as constraints on prior states, propagate sets of states backward, and compare the reachable inputs with the intended specification. This tutorial condenses…

Software Engineering · Computer Science 2025-10-22 Aleksandar Perisic

Multifidelity uncertainty propagation combines the efficiency of low-fidelity models with the accuracy of a high-fidelity model to construct statistical estimators of quantities of interest. It is well known that the effectiveness of such…

Computation · Statistics 2026-01-06 James E. Warner , Geoffrey F. Bomarito , Gianluca Geraci , Michael S. Eldred

Verification of C++ programs has seen considerable progress in several areas, but not for programs that use these languages' mathematical libraries. The reason is that all libraries in widespread use come with no guarantees about the…

Programming Languages · Computer Science 2022-06-23 Roberto Bagnara , Michele Chiari , Roberta Gori , Abramo Bagnara

In this paper, we solve the problem of finding a certified control policy that drives a robot from any given initial state and under any bounded disturbance to the desired reference trajectory, with guarantees on the convergence or bounds…

Robotics · Computer Science 2020-11-26 Dawei Sun , Susmit Jha , Chuchu Fan