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Clause selection is arguably the most important choice point in saturation-based theorem proving. Framing it as a reinforcement learning (RL) task is a way to challenge the human-designed heuristics of state-of-the-art provers and to…

Artificial Intelligence · Computer Science 2025-06-03 Martin Suda

Continual Learning (CL) is a field dedicated to devise algorithms able to achieve lifelong learning. Overcoming the knowledge disruption of previously acquired concepts, a drawback affecting deep learning models and that goes by the name of…

Computer Vision and Pattern Recognition · Computer Science 2023-01-04 Francesco Pelosin

Resolution is the rule of inference at the basis of most procedures for automated reasoning. In these procedures, the input formula is first translated into an equisatisfiable formula in conjunctive normal form (CNF) and then represented as…

Artificial Intelligence · Computer Science 2011-11-04 E. Giunchiglia , M. Narizzano , A. Tacchella

We prove that conflict-driven clause learning SAT-solvers with the ordered decision strategy and the DECISION learning scheme are equivalent to ordered resolution. We also prove that, by replacing this learning scheme with its opposite that…

Logic in Computer Science · Computer Science 2019-09-11 Nathan Mull , Shuo Pang , Alexander Razborov

We propose to use a DPLL+restart to solve SAT instances by successive simplifications based on the production of clauses that subsume the initial clauses. We show that this approach allows the refutation of pebbling formulae in polynomial…

Artificial Intelligence · Computer Science 2019-06-19 Olivier Bailleux

Complementary-Label Learning (CLL) is a weakly-supervised learning problem that aims to learn a multi-class classifier from only complementary labels, which indicate a class to which an instance does not belong. Existing approaches mainly…

Machine Learning · Computer Science 2023-04-12 Wei-I Lin , Hsuan-Tien Lin

This paper studies the challenging continual learning (CL) setting of Class Incremental Learning (CIL). CIL learns a sequence of tasks consisting of disjoint sets of concepts or classes. At any time, a single model is built that can be…

Machine Learning · Computer Science 2023-06-23 Gyuhak Kim , Changnan Xiao , Tatsuya Konishi , Bing Liu

Continual learning (CL) aims to constantly learn new knowledge over time while avoiding catastrophic forgetting on old tasks. In this work, we focus on continual text classification under the class-incremental setting. Recent CL studies…

Computation and Language · Computer Science 2023-05-15 Yifan Song , Peiyi Wang , Dawei Zhu , Tianyu Liu , Zhifang Sui , Sujian Li

This work, shows how propositional resolution can be generalized to obtain a resolution proof system for constrained pseudo-propositional logic (CPPL), which is an extension resulted from inserting the natural numbers with few constraints…

Logic · Mathematics 2023-06-13 Ahmad-Saher Azizi-Sultan

Existing literature in Continual Learning (CL) has focused on overcoming catastrophic forgetting, the inability of the learner to recall how to perform tasks observed in the past. There are however other desirable properties of a CL system,…

Machine Learning · Computer Science 2021-02-15 Tom Veniat , Ludovic Denoyer , Marc'Aurelio Ranzato

Partial label learning (PLL) aims to solve the problem where each training instance is associated with a set of candidate labels, one of which is the correct label. Most PLL algorithms try to disambiguate the candidate label set, by either…

Machine Learning · Computer Science 2018-05-09 Gengyu Lyu , Songhe Feng , Congyang Lang

A common challenge in continual learning (CL) is catastrophic forgetting, where the performance on old tasks drops after new, additional tasks are learned. In this paper, we propose a novel framework called ReCL to slow down forgetting in…

Machine Learning · Computer Science 2025-03-04 Pascal Janetzky , Tobias Schlagenhauf , Stefan Feuerriegel

This paper defines the (first-order) conflict resolution calculus: an extension of the resolution calculus inspired by techniques used in modern SAT-solvers. The resolution inference is restricted to (first-order) unit-propagation and the…

Logic in Computer Science · Computer Science 2016-02-16 John Slaney , Bruno Woltzenlogel Paleo

Continual learning (CL) is a major challenge of machine learning (ML) and describes the ability to learn several tasks sequentially without catastrophic forgetting (CF). Recent works indicate that CL is a complex topic, even more so when…

Machine Learning · Computer Science 2022-06-09 Benedikt Bagus , Alexander Gepperth

More and more languages have a need for constraint solving capabilities for features like error detection or automatic code generation. Imagine a dependently typed language that can immediately implement a program as soon as its type is…

Programming Languages · Computer Science 2022-08-23 Arved Friedemann , Oliver Keszocze

According to the Complementary Learning Systems (CLS) theory~\cite{mcclelland1995there} in neuroscience, humans do effective \emph{continual learning} through two complementary systems: a fast learning system centered on the hippocampus for…

Artificial Intelligence · Computer Science 2023-07-11 Quang Pham , Chenghao Liu , Steven C. H. Hoi

(Partial) differential equations (PDEs) are fundamental tools for describing natural phenomena, making their solution crucial in science and engineering. While traditional methods, such as the finite element method, provide reliable…

Machine Learning · Computer Science 2025-03-11 Viggo Moro , Luiz F. O. Chamon

Nogood learning is a powerful approach to reducing search in Constraint Programming (CP) solvers. The current state of the art, called Lazy Clause Generation (LCG), uses resolution to derive nogoods expressing the reasons for each search…

Artificial Intelligence · Computer Science 2013-06-20 Geoffrey Chu , Peter J. Stuckey

According to Complementary Learning Systems (CLS) theory~\citep{mcclelland1995there} in neuroscience, humans do effective \emph{continual learning} through two complementary systems: a fast learning system centered on the hippocampus for…

Machine Learning · Computer Science 2021-10-04 Quang Pham , Chenghao Liu , Steven Hoi

Humans excel at continually learning from an ever-changing environment whereas it remains a challenge for deep neural networks which exhibit catastrophic forgetting. The complementary learning system (CLS) theory suggests that the interplay…

Machine Learning · Computer Science 2022-05-11 Elahe Arani , Fahad Sarfraz , Bahram Zonooz
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