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Answer Set Programming (ASP) is a declarative problem solving paradigm that can be used to encode a combinatorial problem as a logic program whose stable models correspond to the solutions of the considered problem. ASP has been widely…

Logic in Computer Science · Computer Science 2024-07-15 Van-Giang Trinh , Belaid Benhamou

World Models have emerged as a powerful paradigm for learning compact, predictive representations of environment dynamics, enabling agents to reason, plan, and generalize beyond direct experience. Despite recent interest in World Models,…

Artificial Intelligence · Computer Science 2026-02-18 Lucas Maes , Quentin Le Lidec , Dan Haramati , Nassim Massaudi , Damien Scieur , Yann LeCun , Randall Balestriero

In the Declarative Networking paradigm, Datalog-like languages are used to express distributed computations. Whereas recently formal operational semantics for these languages have been developed, a corresponding declarative semantics has…

Logic in Computer Science · Computer Science 2020-02-19 Tom J. Ameloot , Jan Van den Bussche , William R. Marczak , Peter Alvaro , Joseph M. Hellerstein

It is widely acknowledged that function symbols are an important feature in answer set programming, as they make modeling easier, increase the expressive power, and allow us to deal with infinite domains. The main issue with their…

Artificial Intelligence · Computer Science 2020-02-19 Marco Calautti , Sergio Greco , Cristian Molinaro , Irina Trubitsyna

Possibilistic logic programs (poss-programs) under stable models are a major variant of answer set programming (ASP). While its semantics (possibilistic stable models) and properties have been well investigated, the problem of inductive…

Artificial Intelligence · Computer Science 2026-01-14 Hongbo Hu , Yisong Wang , Yi Huang , Kewen Wang

Non deterministic applications arise in many domains, including, stochastic optimization, multi-objectives optimization, stochastic planning, contingent stochastic planning, reinforcement learning, reinforcement learning in partially…

Artificial Intelligence · Computer Science 2013-04-29 Emad Saad

In this paper, we propose a variant of stable model semantics for disjunctive logic programming and deductive databases. The semantics, called minimal founded, generalizes stable model semantics for normal (i.e. non disjunctive) programs…

Logic in Computer Science · Computer Science 2007-05-23 Filippo Furfaro , Gianluigi Greco , Sergio Greco

Answer Set Programming Modulo Theories (ASPMT) is an approach to combining answer set programming and satisfiability modulo theories based on the functional stable model semantics. It is shown that the tight fragment of ASPMT programs can…

Artificial Intelligence · Computer Science 2025-06-13 Michael Bartholomew , Joohyung Lee

We introduce SMProbLog, a generalization of the probabilistic logic programming language ProbLog. A ProbLog program defines a distribution over logic programs by specifying for each clause the probability that it belongs to a randomly…

Artificial Intelligence · Computer Science 2021-10-08 Pietro Totis , Angelika Kimmig , Luc De Raedt

In our daily lives and industrial settings, we often encounter dynamic problems that require reasoning over time and metric constraints. These include tasks such as scheduling, routing, and production sequencing. Dynamic logics have…

Artificial Intelligence · Computer Science 2025-02-14 Susana Hahn

We show that propositional logic and its extensions can support answer-set programming in the same way stable logic programming and disjunctive logic programming do. To this end, we introduce a logic based on the logic of propositional…

Artificial Intelligence · Computer Science 2007-05-23 Deborah East , Miroslaw Truszczynski

We introduce the concept of weighted rules under the stable model semantics following the log-linear models of Markov Logic. This provides versatile methods to overcome the deterministic nature of the stable model semantics, such as…

Artificial Intelligence · Computer Science 2026-05-12 Joohyung Lee , Yi Wang

In classical logic, nonBoolean fluents, such as the location of an object, can be naturally described by functions. However, this is not the case in answer set programs, where the values of functions are pre-defined, and nonmonotonicity of…

Artificial Intelligence · Computer Science 2023-07-21 Michael Bartholomew , Joohyung Lee

Answer-set programming (ASP) paradigm is a way of using logic to solve search problems. Given a search problem, to solve it one designs a theory in the logic so that models of this theory represent problem solutions. To compute a solution…

Logic in Computer Science · Computer Science 2007-05-23 Deborah East , Miroslaw Truszczynski

Practically all programming languages allow the programmer to split a program into several modules which brings along several advantages in software development. In this paper, we are interested in the area of answer-set programming where…

Logic in Computer Science · Computer Science 2014-01-16 Tomi Janhunen , Emilia Oikarinen , Hans Tompits , Stefan Woltran

Answer Set Programming (ASP) with stable model semantics has proven highly effective for knowledge representation and reasoning. However, the minimality requirement of stable models can be restrictive for applications requiring exploration…

Logic in Computer Science · Computer Science 2026-01-30 Fang Li , Gopal Gupta

The idea of using unfolding as a way of computing a program semantics has been applied successfully to logic programs and has shown itself a powerful tool that provides concrete, implementable results, as its outcome is actually source…

Programming Languages · Computer Science 2017-08-29 José María Rey-Poza , Julio Mariño-Carballo

Argumentation problems are concerned with determining the acceptability of a set of arguments from their relational structure. When the available information is uncertain, probabilistic argumentation frameworks provide modelling tools to…

Artificial Intelligence · Computer Science 2023-04-18 Pietro Totis , Angelika Kimmig , Luc De Raedt

Constraint programming can definitely be seen as a model-driven paradigm. The users write programs for modeling problems. These programs are mapped to executable models to calculate the solutions. This paper focuses on efficient model…

Artificial Intelligence · Computer Science 2010-02-16 Raphael Chenouard , Laurent Granvilliers , Ricardo Soto

Stable Logic Programming (SLP) is an emergent, alternative style of logic programming: each solution to a problem is represented by a stable model of a deductive database/function-free logic program encoding the problem itself. Several…

Artificial Intelligence · Computer Science 2014-02-25 Gianpaolo Brignoli , Stefania Costantini , Ottavio D'Antona , Alessandro Provetti