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We propose a semi-decision procedure for checking generalized reachability properties, on generalized Petri nets, that is based on the Property Directed Reachability (PDR) method. We actually define three different versions, that vary…

Logic in Computer Science · Computer Science 2022-08-08 Nicolas Amat , Silvano Dal Zilio , Thomas Hujsa

Property Directed Reachability (PDR) is a widely used technique for formal verification of hardware and software systems. This paper presents an incremental version of PDR (IPDR), which enables the automatic verification of system instances…

Symbolic Computation · Computer Science 2023-08-24 Max Blankestijn , Alfons Laarman

Property-directed reachability (PDR) is a SAT/SMT-based reachability algorithm that incrementally constructs inductive invariants. After it was successfully applied to hardware model checking, several adaptations to software model checking…

Software Engineering · Computer Science 2020-02-25 Dirk Beyer , Matthias Dangl

Generalized property-directed reachability (GPDR) belongs to the family of the model-checking techniques called IC3/PDR. It has been successfully applied to software verification; for example, it is the core of Spacer, a state-of-the-art…

Programming Languages · Computer Science 2019-11-28 Kohei Suenaga , Takuya Ishizawa

Property Directed Reachability (\textsc{Pdr}), also known as IC3, is a state-of-the-art model checking algorithm widely used for verifying safety properties. While \textsc{Pdr} is effective in finding inductive invariants, its underlying…

Logic in Computer Science · Computer Science 2025-05-27 Andrew Luka , Yakir Vizel

Generalization is a central challenge for the deployment of reinforcement learning (RL) systems in the real world. In this paper, we show that the sequential structure of the RL problem necessitates new approaches to generalization beyond…

Machine Learning · Computer Science 2021-07-14 Dibya Ghosh , Jad Rahme , Aviral Kumar , Amy Zhang , Ryan P. Adams , Sergey Levine

We study generalization in deep learning by appealing to complexity measures originally developed in approximation and information theory. While these concepts are challenged by the high-dimensional and data-defined nature of deep learning,…

Machine Learning · Statistics 2020-12-17 Abhejit Rajagopal , Vamshi C. Madala , Shivkumar Chandrasekaran , Peder E. Z. Larson

Inferring inductive invariants is one of the main challenges of formal verification. The theory of abstract interpretation provides a rich framework to devise invariant inference algorithms. One of the latest breakthroughs in invariant…

Programming Languages · Computer Science 2022-01-19 Yotam M. Y. Feldman , Mooly Sagiv , Sharon Shoham , James R. Wilcox

Central to the success of artificial neural networks is their ability to generalize. But does neural network generalization primarily rely on seeing highly similar training examples (memorization)? Or are neural networks capable of…

Machine Learning · Computer Science 2022-02-22 Chiyuan Zhang , Maithra Raghu , Jon Kleinberg , Samy Bengio

Deep Reinforcement Learning has shown great success in a variety of control tasks. However, it is unclear how close we are to the vision of putting Deep RL into practice to solve real world problems. In particular, common practice in the…

Machine Learning · Computer Science 2019-02-21 Chenyang Zhao , Olivier Sigaud , Freek Stulp , Timothy M. Hospedales

Understanding generalization is crucial to confidently engineer and deploy machine learning models, especially when deployment implies a shift in the data domain. For such domain adaptation problems, we seek generalization bounds which are…

Machine Learning · Computer Science 2023-03-16 Adam Breitholtz , Fredrik D. Johansson

Machine learning systems generally assume that the training and testing distributions are the same. To this end, a key requirement is to develop models that can generalize to unseen distributions. Domain generalization (DG), i.e.,…

Machine Learning · Computer Science 2022-05-25 Jindong Wang , Cuiling Lan , Chang Liu , Yidong Ouyang , Tao Qin , Wang Lu , Yiqiang Chen , Wenjun Zeng , Philip S. Yu

Neural networks have been shown to frequently fail to learn critical safety and correctness properties purely from data, highlighting the need for training methods that directly integrate logical specifications. While adversarial training…

Machine Learning · Computer Science 2025-06-25 Thomas Flinkow , Marco Casadio , Colin Kessler , Rosemary Monahan , Ekaterina Komendantskaya

Reinforcement learning research obtained significant success and attention with the utilization of deep neural networks to solve problems in high dimensional state or action spaces. While deep reinforcement learning policies are currently…

Machine Learning · Computer Science 2024-10-31 Ezgi Korkmaz

Domain generalization aims to solve the challenge of Out-of-Distribution (OOD) generalization by leveraging common knowledge learned from multiple training domains to generalize to unseen test domains. To accurately evaluate the OOD…

Machine Learning · Computer Science 2024-03-26 Han Yu , Xingxuan Zhang , Renzhe Xu , Jiashuo Liu , Yue He , Peng Cui

Generalization to out-of-distribution (OOD) data is a capability natural to humans yet challenging for machines to reproduce. This is because most learning algorithms strongly rely on the i.i.d.~assumption on source/target data, which is…

Machine Learning · Computer Science 2022-08-15 Kaiyang Zhou , Ziwei Liu , Yu Qiao , Tao Xiang , Chen Change Loy

Like any field of empirical science, AI may be approached axiomatically. We formulate requirements for a general-purpose, human-level AI system in terms of postulates. We review the methodology of deep learning, examining the explicit and…

Artificial Intelligence · Computer Science 2018-06-26 Eray Özkural

We consider parameterized verification of systems executing according to the total store ordering (TSO) semantics. The processes manipulate abstract data types over potentially infinite domains. We present a framework that translates the…

Formal Languages and Automata Theory · Computer Science 2023-02-14 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Florian Furbach , Adwait Godbole , Yacoub G. Hendi , Shankaranarayanan Krishna , Stephan Spengler

All formalisms have the ability to ensure that their models are internally consistent. Potential inconsistencies are generally highlighted by assertions called proof obligations, and the generation of these obligations is an important role…

Software Engineering · Computer Science 2025-06-19 Nick Battle , Peter Gorm Larsen

This paper studies the relationship between generalization and privacy preservation in iterative learning algorithms by two sequential steps. We first establish an alignment between generalization and privacy preservation for any learning…

Machine Learning · Computer Science 2020-08-10 Fengxiang He , Bohan Wang , Dacheng Tao
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