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Recently, the k-induction algorithm has proven to be a successful approach for both finding bugs and proving correctness. However, since the algorithm is an incremental approach, it might waste resources trying to prove incorrect programs.…

Programming Languages · Computer Science 2018-01-23 Mikhail Y. R. Gadelha , Lucas C. Cordeiro , Denis A. Nicole

Bounded model checking (BMC) is a well-known and successful technique for finding bugs in software. k-induction is an approach to extend BMC-based approaches from falsification to verification. Automatically generated auxiliary invariants…

Software Engineering · Computer Science 2015-02-03 Dirk Beyer , Matthias Dangl , Philipp Wendler

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

We present a proof by induction algorithm, which combines k-induction with invariants to model check embedded C software 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 2015-09-09 Herbert Rocha , Hussama Ismail , Lucas Cordeiro , Raimundo Barreto

Most software verification tools can be classified into one of a number of established families, each of which has their own focus and strengths. For example, concrete counterexample generation in model checking, invariant inference in…

Logic in Computer Science · Computer Science 2015-06-30 Martin Brain , Saurabh Joshi , Daniel Kroening , Peter Schrammel

The role played by counterexamples in standard system analysis is well known; but less common is a notion of counterexample in probabilistic systems refinement. In this paper we extend previous work using counterexamples to inductive…

Logic in Computer Science · Computer Science 2011-06-22 Ukachukwu Ndukwu , Annabelle McIver

In traditional k-fold cross-validation, each instance is used ($k-1$) times for training and once for testing, leading to redundancy that lets many instances disproportionately influence the learning phase. We introduce Irredundant $k$-fold…

Machine Learning · Computer Science 2025-08-29 Jesus S. Aguilar-Ruiz

Predicting and executing a sequence of actions without intermediate replanning, known as action chunking, is increasingly used in robot learning from human demonstrations. Yet, its effects on the learned policy remain inconsistent: some…

Robotics · Computer Science 2025-04-28 Yuejiang Liu , Jubayer Ibn Hamid , Annie Xie , Yoonho Lee , Maximilian Du , Chelsea Finn

We introduce a data-driven approach to computing finite bisimulations for state transition systems with very large, possibly infinite state space. Our novel technique computes stutter-insensitive bisimulations of deterministic systems,…

Logic in Computer Science · Computer Science 2024-05-27 Alessandro Abate , Mirco Giacobbe , Yannik Schnitzer

In this paper we introduce a novel way to speed up the discovery of counterexamples in bounded model checking, based on parallel runs over versions of a system in which features have been randomly disabled. As shown in previous work, adding…

Software Engineering · Computer Science 2016-10-26 Mohammad Amin Alipour , Alex Groce

We revisit two well-established verification techniques, $k$-induction and bounded model checking (BMC), in the more general setting of fixed point theory over complete lattices. Our main theoretical contribution is latticed $k$-induction,…

Logic in Computer Science · Computer Science 2021-06-01 Kevin Batz , Mingshuai Chen , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja , Philipp Schröer

In this brief, we improve the Broad Learning System (BLS) [7] by reducing the computational complexity of the incremental learning for added inputs. We utilize the inverse of a sum of matrices in [8] to improve a step in the pseudoinverse…

Machine Learning · Computer Science 2022-11-21 Hufei Zhu , Zhulin Liu , C. L. Philip Chen , Yanyang Liang

We introduce a bisimulation learning algorithm for non-deterministic transition systems. We generalise bisimulation learning to systems with bounded branching and extend its applicability to model checking branching-time temporal logic,…

Logic in Computer Science · Computer Science 2025-05-23 Alessandro Abate , Mirco Giacobbe , Christian Micheletti , Yannik Schnitzer

Our recently proposed certification framework for bit-level k-induction-based model checking has been shown to be quite effective in increasing the trust of verification results even though it partially involved quantifier reasoning. In…

Logic in Computer Science · Computer Science 2022-08-03 Emily Yu , Nils Froleyks , Armin Biere , Keijo Heljanko

The ability to detect intent in dialogue systems has become increasingly important in modern technology. These systems often generate a large amount of unlabeled data, and manually labeling this data requires substantial human effort.…

Machine Learning · Computer Science 2023-10-19 Nicholas Botzer , David Vasquez , Tim Weninger , Issam Laradji

This article presents a bidirectional type system for the Calculus of Inductive Constructions (CIC). It introduces a new judgement intermediate between the usual inference and checking, dubbed constrained inference, to handle the presence…

Programming Languages · Computer Science 2021-04-20 Meven Lennon-Bertrand

Bandit learning has been an increasingly popular design choice for recommender system. Despite the strong interest in bandit learning from the community, there remains multiple bottlenecks that prevent many bandit learning approaches from…

Information Retrieval · Computer Science 2023-08-01 Hongbo Guo , Ruben Naeff , Alex Nikulkov , Zheqing Zhu

We introduce a new form of SAT-based symbolic model checking. One common idea in SAT-based symbolic model checking is to generate new clauses from states that can lead to property violations. Our previous work suggests applying induction to…

Discrete Mathematics · Computer Science 2010-03-23 Aaron R. Bradley

Information-flow control mechanisms are difficult both to design and to prove correct. To reduce the time wasted on doomed proof attempts due to broken definitions, we advocate modern random testing techniques for finding counterexamples…

Random testing has proven to be an effective technique for compiler validation. However, the debugging of bugs identified through random testing presents a significant challenge due to the frequent occurrence of duplicate test programs that…

Software Engineering · Computer Science 2026-01-28 Xintong Zhou , Zhenyang Xu , Yongqiang Tian , Chengnian Sun
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