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The interest in explainability in artificial intelligence (AI) is growing vastly due to the near ubiquitous state of AI in our lives and the increasing complexity of AI systems. Answer-set Programming (ASP) is used in many areas, among them…

Artificial Intelligence · Computer Science 2023-08-31 Tobias Geibinger

Disjunctive Logic Programming (DLP) is a very expressive formalism: it allows for expressing every property of finite structures that is decidable in the complexity class SigmaP2 (= NP^NP). Despite this high expressiveness, there are some…

Artificial Intelligence · Computer Science 2008-02-22 Wolfgang Faber , Gerald Pfeifer , Nicola Leone , Tina Dell'Armi , Giuseppe Ielpa

We present an extension-based approach for computing and verifying preferences in an abstract argumentation system. Although numerous argumentation semantics have been developed previously for identifying acceptable sets of arguments from…

Artificial Intelligence · Computer Science 2024-03-27 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

Markov decision processes (MDPs) with large number of states are of high practical interest. However, conventional algorithms to solve MDP are computationally infeasible in this scenario. Approximate dynamic programming (ADP) methods tackle…

Systems and Control · Computer Science 2014-11-19 Chandrashekar Lakshminarayanan , Shalabh Bhatnagar

Argument Mining (AM) helps in automating the extraction of complex argumentative structures such as Argument Components (ACs) like Premise, Claim etc. and Argumentative Relations (ARs) like Support, Attack etc. in an argumentative text. Due…

Computation and Language · Computer Science 2025-10-21 Nilmadhab Das , Vishal Vaibhav , Yash Sunil Choudhary , V. Vijaya Saradhi , Ashish Anand

Answer Set Programming (ASP) solvers are highly-tuned and complex procedures that implicitly solve the consistency problem, i.e., deciding whether a logic program admits an answer set. Verifying whether a claimed answer set is formally a…

Logic in Computer Science · Computer Science 2019-07-25 Mario Alviano , Carmine Dodaro , Johannes K. Fichte , Markus Hecher , Tobias Philipp , Jakob Rath

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

Assumption-based Argumentation (ABA) is a well-known structured argumentation formalism, whereby arguments and attacks between them are drawn from rules, defeasible assumptions and their contraries. A common restriction imposed on ABA…

Artificial Intelligence · Computer Science 2024-01-09 Markus Ulbricht , Nico Potyka , Anna Rapberger , Francesca Toni

Answer Set Programming (ASP) is a paradigm for modeling and solving problems for knowledge representation and reasoning. There are plenty of results dedicated to studying the hardness of (fragments of) ASP. So far, these studies resulted in…

Artificial Intelligence · Computer Science 2022-10-10 Markus Hecher

Decision tree models, including random forests and gradient-boosted decision trees, are widely used in machine learning due to their high predictive performance. However, their complex structures often make them difficult to interpret,…

Artificial Intelligence · Computer Science 2026-01-08 Akihiro Takemura , Masayuki Otani , Katsumi Inoue

Adapting techniques from database theory in order to optimize Answer Set Programming (ASP) systems, and in particular the grounding components of ASP systems, is an important topic in ASP. In recent years, the Magic Set method has received…

Logic in Computer Science · Computer Science 2020-02-19 Mario Alviano , Wolfgang Faber , Stefan Woltran

Weighted gradual semantics provide an acceptability degree to each argument representing the strength of the argument, computed based on factors including background evidence for the argument, and taking into account interactions between…

Artificial Intelligence · Computer Science 2024-08-21 Assaf Libman , Nir Oren , Bruno Yun

Standard answer set programming (ASP) targets at solving search problems from the first level of the polynomial time hierarchy (PH). Tackling search problems beyond NP using ASP is less straightforward. The class of disjunctive logic…

Artificial Intelligence · Computer Science 2016-08-16 Bart Bogaerts , Tomi Janhunen , Shahab Tasharrofi

The theory of abstract argumentation frameworks (afs) has, in the main, focused on finite structures, though there are many significant contexts where argumentation can be regarded as a process involving infinite objects. To address this…

Artificial Intelligence · Computer Science 2018-10-12 Pietro Baroni , Federico Cerutti , Paul E. Dunne , Massimiliano Giacomin

Answer Set Programming (ASP) is a generic problem modeling and solving framework with a strong focus on knowledge representation and a rapid growth of industrial applications. So far, the study of complexity resulted in characterizing…

Artificial Intelligence · Computer Science 2024-02-07 Markus Hecher , Rafael Kiesel

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

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

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

Answer set programming (ASP) is a popular declarative programming paradigm with a wide range of applications in artificial intelligence. Oftentimes, when modeling an AI problem with ASP, and in particular when we are interested beyond…

Artificial Intelligence · Computer Science 2021-12-15 Johannes K. Fichte , Sarah Alice Gaggl , Dominik Rusovac

The paper presents two equivalent definitions of answer sets for logic programs with aggregates. These definitions build on the notion of unfolding of aggregates, and they are aimed at creating methodologies to translate logic programs with…

Software Engineering · Computer Science 2007-05-23 Tran Cao Son , Enrico Pontelli , Islam Elkabani