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The integration of reasoning, learning, and decision-making is key to build more general artificial intelligence systems. As a step in this direction, we propose a novel neural-logic architecture, called differentiable logic machine (DLM),…

Artificial Intelligence · Computer Science 2023-07-07 Matthieu Zimmer , Xuening Feng , Claire Glanois , Zhaohui Jiang , Jianyi Zhang , Paul Weng , Dong Li , Jianye Hao , Wulong Liu

Logic can be made useful for programming and for databases independently of logic programming. To be useful in this way, logic has to provide a mechanism for the definition of new functions and new relations on the basis of those given in…

Logic in Computer Science · Computer Science 2014-12-30 M. H. van Emden

We present a declarative language, PP, for the high-level specification of preferences between possible solutions (or trajectories) of a planning problem. This novel language allows users to elegantly express non-trivial, multi-dimensional…

Artificial Intelligence · Computer Science 2009-09-29 Tran Cao Son , Enrico Pontelli

Many metainterpreters found in the logic programming literature are nondeterministic in the sense that the selection of program clauses is not determined. Examples are the familiar "demo" and "vanilla" metainterpreters. For some…

Logic in Computer Science · Computer Science 2007-05-23 David A. Rosenblueth

The paper describes an extension of well-founded semantics for logic programs with two types of negation. In this extension information about preferences between rules can be expressed in the logical language and derived dynamically. This…

Artificial Intelligence · Computer Science 2008-02-03 G. Brewka

This paper discusses capabilities that are essential to models applied in policy analysis settings and the limitations of direct applications of off-the-shelf machine learning methodologies to such settings. Traditional econometric…

Machine Learning · Computer Science 2021-01-26 Youssef M. Aboutaleb , Mazen Danaf , Yifei Xie , Moshe Ben-Akiva

Many logic programming based approaches can be used to describe and solve combinatorial search problems. On the one hand there is constraint logic programming which computes a solution as an answer substitution to a query containing the…

Artificial Intelligence · Computer Science 2007-05-23 Nikolay Pelov , Emmanuel De Mot , Marc Denecker

A skeleton of the category with finite coproducts D freely generated by a single object has a subcategory isomorphic to a skeleton of the category with finite products C freely generated by a countable set of objects. As a consequence, we…

Logic · Mathematics 2016-06-10 Kosta Dosen , Zoran Petric

As multi-agent AI systems evolve from simple chatbots to autonomous swarms, debugging semantic failures requires reasoning about knowledge, belief, causality, and obligation, precisely what modal logic was designed to formalize. However,…

Artificial Intelligence · Computer Science 2026-02-13 Antonin Sulc

Logics with team semantics provide alternative means for logical characterization of complexity classes. Both dependence and independence logic are known to capture non-deterministic polynomial time, and the frontiers of tractability in…

Logic in Computer Science · Computer Science 2019-03-27 Miika Hannula , Lauri Hella

Although randomization has long been used in distributed computing, formal methods for reasoning about probabilistic concurrent programs have lagged behind. No existing program logics can express specifications about the full distributions…

Logic in Computer Science · Computer Science 2025-11-26 Noam Zilberstein , Alexandra Silva , Joseph Tassarotti

Logic programming is a flexible programming paradigm due to the use of predicates without a fixed data flow. To extend logic languages with the compact notation of functional programming, there are various proposals to map evaluable…

Programming Languages · Computer Science 2022-05-17 Michael Hanus

Verifying fine-grained optimistic concurrent programs remains an open problem. Modern program logics provide abstraction mechanisms and compositional reasoning principles to deal with the inherent complexity. However, their use is mostly…

Programming Languages · Computer Science 2022-11-14 Roland Meyer , Thomas Wies , Sebastian Wolff

We introduce an inductive logic programming approach that combines classical divide-and-conquer search with modern constraint-driven search. Our anytime approach can learn optimal, recursive, and large programs and supports predicate…

Artificial Intelligence · Computer Science 2021-12-08 Andrew Cropper

Constraint Logic Programming (CLP) and Hereditary Harrop formulas (HH) are two well known ways to enhance the expressivity of Horn clauses. In this paper, we present a novel combination of these two approaches. We show how to enrich the…

Programming Languages · Computer Science 2007-05-23 Javier Leach , Susana Nieva , Mario Rodriguez-Artalejo

Logic programming has traditiLogic programming has traditionally lacked devices for expressing iterative tasks. To overcome this problem, this paper proposes iterative goal formulas of the form $\seqandq{x}{L} G$ where $G$ is a goal, $x$ is…

Programming Languages · Computer Science 2016-06-15 Keehang Kwon

This paper continues an established line of research about the relations between argumentation theory, particularly assumption-based argumentation, and different kinds of logic programs. In particular, we extend known result of Caminada,…

Artificial Intelligence · Computer Science 2025-07-09 Jesse Heyninck , Ofer Arieli

The stable model semantics had been recently generalized to non-Herbrand structures by several works, which provides a unified framework and solid logical foundations for answer set programming. This paper focuses on the expressiveness of…

Artificial Intelligence · Computer Science 2014-12-03 Heng Zhang , Yan Zhang

Existential rules form an expressive Datalog-based language to specify ontological knowledge. The presence of existential quantification in rule-heads, however, makes the main reasoning tasks undecidable. To overcome this limitation, in the…

Computational Complexity · Computer Science 2023-07-25 Georg Gottlob , Marco Manna , Cinzia Marte

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2019-09-19 Daniel Neider , Alexander Weinert , Martin Zimmermann
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