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In this paper, we explore the concept of modularity in first-order answer set programming (ASP). We introduce a new formalism called parametric modular logic programs, which allows defining subprograms with parameters and intensionality…

Artificial Intelligence · Computer Science 2026-05-22 Jorge Fandinno , Yuliya Lierler , Torsten Schaub

Deontic logic is shown to be applicable for modelling human reasoning. For this the Wason selection task and the suppression task are discussed in detail. Different versions of modelling norms with deontic logic are introduced and in the…

Artificial Intelligence · Computer Science 2014-09-19 Ulrich Furbach , Claudia Schon

Assumption-based Argumentation (ABA) is advocated as a unifying formalism for various forms of non-monotonic reasoning, including logic programming. It allows capturing defeasible knowledge, subject to argumentative debate. While, in much…

Artificial Intelligence · Computer Science 2024-11-11 Emanuele De Angelis , Maurizio Proietti , Francesca Toni

Answer set programming (ASP) is a logic programming formalism used in various areas of artificial intelligence like combinatorial problem solving and knowledge representation and reasoning. It is known that enhancing ASP with function…

Artificial Intelligence · Computer Science 2025-09-24 Lukas Gerlach , David Carral , Markus Hecher

In this paper we consider Epistemic Logic Programs, which extend Answer Set Programming (ASP) with "epistemic operators" and "epistemic negation", and a recent approach to the semantics of such programs in terms of World Views. We propose…

Artificial Intelligence · Computer Science 2020-02-19 Stefania Costantini

Answer Set Programming (ASP), a well-known declarative logic programming paradigm, has recently found practical application in Process Mining. In particular, ASP has been used to model tasks involving declarative specifications of business…

Logic in Computer Science · Computer Science 2025-02-19 Francesco Chiariello , Valeria Fionda , Antonio Ielo , Francesco Ricca

Ethical and legal concerns make it necessary for programs that may directly influence the life of people (via, e.g., legal or health counseling) to justify in human-understandable terms the advice given. Answer Set Programming has a rich…

Logic in Computer Science · Computer Science 2020-09-23 Joaquín Arias , Manuel Carro , Zhuo Chen , Gopal Gupta

Answer-set programming (ASP) has emerged recently as a viable programming paradigm. We describe here an ASP system, DATALOG with constraints or DC, based on non-monotonic logic. Informally, DC theories consist of propositional clauses…

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

We propose a new formal language for the expressive representation of probabilistic knowledge based on Answer Set Programming (ASP). It allows for the annotation of first-order formulas as well as ASP rules and facts with probabilities and…

Artificial Intelligence · Computer Science 2014-05-06 Matthias Nickles , Alessandra Mileo

Modal logics are widely used in multi-agent systems to reason about actions, abilities, norms, or epistemic states. Combined with description logic languages, they are also a powerful tool to formalise modal aspects of ontology-based…

Logic in Computer Science · Computer Science 2023-07-25 Tiziano Dalmonte , Andrea Mazzullo , Ana Ozaki , Nicolas Troquard

We examine the practicality for a user of using Answer Set Programming (ASP) for representing logical formalisms. Our example is a formalism aiming at capturing causal explanations from causal information. We show the naturalness and…

Artificial Intelligence · Computer Science 2020-07-17 Yves Moinard

Answer set programming (ASP) is a well-established logic programming language that offers an intuitive, declarative syntax for problem solving. In its traditional application, a fixed ASP program for a given problem is designed and the…

Artificial Intelligence · Computer Science 2016-08-08 Manuel Bichler , Michael Morak , Stefan Woltran

We introduce the Deontic Action Model Logic (DAML), a dynamic modal framework for reasoning about obligations over actions in multi-agent systems. DAML extends the epistemic Action Model Logic by incorporating deontic evaluation mechanisms…

Logic in Computer Science · Computer Science 2026-05-27 Giorgio Cignarale

This paper explores the use of Answer Set Programming (ASP) in solving Distributed Constraint Optimization Problems (DCOPs). The paper provides the following novel contributions: (1) It shows how one can formulate DCOPs as logic programs;…

Multiagent Systems · Computer Science 2017-05-12 Tiep Le , Tran Cao Son , Enrico Pontelli , William Yeoh

Answer-set programming (ASP) has emerged recently as a viable programming paradigm well attuned to search problems in AI, constraint satisfaction and combinatorics. Propositional logic is, arguably, the simplest ASP system with an intuitive…

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

Dung's famous abstract argumentation frameworks represent the core formalism for many problems and applications in the field of argumentation which significantly evolved within the last decade. Recent work in the field has thus focused on…

Artificial Intelligence · Computer Science 2016-04-20 Wolfgang Dvořák , Sarah Alice Gaggl , Johannes Wallner , Stefan Woltran

Robots assisting humans in complex domains have to represent knowledge and reason at both the sensorimotor level and the social level. The architecture described in this paper couples the non-monotonic logical reasoning capabilities of a…

Robotics · Computer Science 2015-08-04 Zenon Colaco , Mohan Sridharan

Answer Set Programming (ASP) is an increasingly popular framework for declarative programming that admits the description of problems by means of rules and constraints that form a disjunctive logic program. In particular, many AI problems…

Computational Complexity · Computer Science 2014-03-07 Johannes Klaus Fichte , Stefan Szeider

Deontic logics are formalisms for reasoning over norms, obligations, permissions and prohibitions. Input/Output (I/O) Logics are a particular family of so-called norm-based deontic logics that formalize conditional norms outside of the…

Logic in Computer Science · Computer Science 2026-03-02 Alexander Steen

Non-monotonic logic programming is the basis for a declarative problem solving paradigm known as answer set programming (ASP). Departing from the seminal definition by Gelfond and Lifschitz in 1988 for simple normal logic programs, various…

Artificial Intelligence · Computer Science 2026-05-08 Yi-Dong Shen , Thomas Eiter