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Motivated by applications in automated verification of higher-order functional programs, we develop a notion of constrained Horn clauses in higher-order logic and a decision problem concerning their satisfiability. We show that, although…

Programming Languages · Computer Science 2017-08-02 Toby Cathcart Burn , C. -H. Luke Ong , Steven J. Ramsay

We propose a method to adapt functional logic programming to deal with reasoning on coinductively interpreted programs as well as on inductively interpreted programs. In order to do so, we consider a class of objects interesting for this…

Programming Languages · Computer Science 2012-03-06 Ronald de Haan

Despite the broad application of deep reinforcement learning (RL), transferring and adapting the policy to unseen but similar environments is still a significant challenge. Recently, the language-conditioned policy is proposed to facilitate…

Machine Learning · Computer Science 2023-03-10 Shaohui Peng , Xing Hu , Rui Zhang , Jiaming Guo , Qi Yi , Ruizhi Chen , Zidong Du , Ling Li , Qi Guo , Yunji Chen

Modelling, specifying and reasoning about complex systems requires to process in an integrated fashion declarative and procedural aspects of the target domain. The paper reports on an experiment conducted with a propositional version of…

Artificial Intelligence · Computer Science 2020-08-04 Giovanni Sileno

In this paper, we present a framework for automatic generation of CHR solvers given the logical specification of the constraints. This approach takes advantage of the power of tabled resolution for constraint logic programming, in order to…

Logic in Computer Science · Computer Science 2007-05-23 Slim Abdennadher , Christophe Rigotti

SHACL is a W3C-proposed language for expressing structural constraints on RDF graphs. The recommendation only specifies semantics for non-recursive SHACL; recently, some efforts have been made to allow recursive SHACL schemas. In this…

Databases · Computer Science 2021-09-20 Bart Bogaerts , Maxime Jakubowski

We present a method for automatic inference of conditions on the initial states of a program that guarantee that the safety assertions in the program are not violated. Constrained Horn clauses (CHCs) are used to model the program and…

Logic in Computer Science · Computer Science 2018-04-18 Bishoksan Kafle , John P. Gallagher , Graeme Gange , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

While pre-trained language models (PLMs) are the go-to solution to tackle many natural language processing problems, they are still very limited in their ability to capture and to use common-sense knowledge. In fact, even if information is…

Artificial Intelligence · Computer Science 2021-09-28 Mohammed Saeed , Naser Ahmadi , Preslav Nakov , Paolo Papotti

To appear in Theory and Practice of Logic Programming (TPLP), Proceedings of ICLP 2015 Recent advances in knowledge compilation introduced techniques to compile \emph{positive} logic programs into propositional logic, essentially exploiting…

Logic in Computer Science · Computer Science 2020-02-19 Bart Bogaerts , Guy Van den Broeck

Rule-based machine translation is more data efficient than the big data-based machine translation approaches, making it appropriate for languages with low bilingual corpus resources -- i.e., minority languages. However, the rule-based…

Computation and Language · Computer Science 2019-04-29 Patrick Connor

This paper presents a model and implementation techniques for speeding up constraint propagation. Three fundamental approaches to improving constraint propagation based on propagators as implementations of constraints are explored: keeping…

Artificial Intelligence · Computer Science 2010-09-03 Christian Schulte , Peter J. Stuckey

We present a new abstract interpretation framework for the precise over-approximation of numerical fixpoint iterators. Our key observation is that unlike in standard abstract interpretation (AI), typically used to over-approximate all…

Machine Learning · Computer Science 2023-04-27 Mark Niklas Müller , Marc Fischer , Robin Staab , Martin Vechev

In this paper, we propose a new language, called AR ({\it Action Rules}), and describe how various propagators for finite-domain constraints can be implemented in it. An action rule specifies a pattern for agents, an action that the agents…

Programming Languages · Computer Science 2007-05-23 Neng-Fa Zhou

Techniques for runtime verification often utilise specification languages that are (i) reasonably expressive, and (ii) relatively abstract (i.e. they operate on a level of abstraction that separates them from the system being monitored).…

Logic in Computer Science · Computer Science 2018-06-11 Joshua Heneage Dawes , Giles Reger

Recommendation Systems have become integral to modern user experiences, but lack transparency in their decision-making processes. Existing explainable recommendation methods are hindered by reliance on a post-hoc paradigm, wherein…

Information Retrieval · Computer Science 2024-12-04 Xiaohan Yu , Li Zhang , Chong Chen

This note points out a lemma on closures of monotonic increasing functions and shows how it is applicable to decomposition and modularity for semantics defined as the least fixedpoint of some monotonic function. In particular it applies to…

Logic in Computer Science · Computer Science 2020-08-04 Michael J. Maher

Causal reasoning and compositional reasoning are two core aspirations in AI. Measuring the extent of these behaviors requires principled evaluation methods. We explore a unified perspective that considers both behaviors simultaneously,…

Computation and Language · Computer Science 2025-06-11 Jacqueline R. M. A. Maasch , Alihan Hüyük , Xinnuo Xu , Aditya V. Nori , Javier Gonzalez

We propose a hybrid-dynamic first-order logic as a formal foundation for specifying and reasoning about reconfigurable systems. As the name suggests, the formalism we develop extends (many-sorted) first-order logic with features that are…

Logic in Computer Science · Computer Science 2019-05-13 Daniel Găină , Ionuţ Ţuţu

Hash center-based deep hashing methods improve upon pairwise or triplet-based approaches by assigning fixed hash centers to each class as learning targets, thereby avoiding the inefficiency of local similarity optimization. However, random…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Shuo Yin , Zhiyuan Yin , Yuqing Hou , Rui Liu , Yong Chen , Dell Zhang

Justification theory is a general framework for the definition of semantics of rule-based languages that has a high explanatory potential. Nested justification systems, first introduced by Denecker et al. (2015), allow for the composition…

Artificial Intelligence · Computer Science 2022-05-11 Simon Marynissen , Jesse Heyninck , Bart Bogaerts , Marc Denecker
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