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We take up an idea from the folklore of Answer Set Programming, namely that choices, integrity constraints along with a restricted rule format is sufficient for Answer Set Programming. We elaborate upon the foundations of this idea in the…

Artificial Intelligence · Computer Science 2021-11-25 Jorge Fandinno , Seemran Mishra , Javier Romero , Torsten Schaub

Answer Set Programming (ASP) is a widely used declarative programming paradigm that has shown great potential in solving complex computational problems. However, the inability to natively support non-integer arithmetic has been highlighted…

Artificial Intelligence · Computer Science 2023-12-08 Francesco Pacenza , Jessica Zangari

Probabilistic Answer Set Programming under the credal semantics (PASP) extends Answer Set Programming with probabilistic facts that represent uncertain information. The probabilistic facts are discrete with Bernoulli distributions. However,…

Artificial Intelligence · Computer Science 2025-02-19 Damiano Azzolini , Fabrizio Riguzzi

In recent years, expansion-based techniques have been shown to be very powerful in theory and practice for solving quantified Boolean formulas (QBF), the extension of propositional formulas with existential and universal quantifiers over…

Logic in Computer Science · Computer Science 2018-10-08 Roderick Bloem , Nicolas Braud-Santoni , Vedad Hadzic , Uwe Egly , Florian Lonsing , Martina Seidl

Answer Set Planning refers to the use of Answer Set Programming (ASP) to compute plans, i.e., solutions to planning problems, that transform a given state of the world to another state. The development of efficient and scalable answer set…

Artificial Intelligence · Computer Science 2022-02-14 Tran Cao Son , Enrico Pontelli , Marcello Balduccini , Torsten Schaub

Quantile Factor Models (QFM) represent a new class of factor models for high-dimensional panel data. Unlike Approximate Factor Models (AFM), where only location-shifting factors can be extracted, QFM also allow to recover unobserved factors…

Econometrics · Economics 2020-09-24 Liang Chen , Juan Jose Dolado , Jesus Gonzalo

Informed consent has become increasingly salient for data privacy and its regulation. Entities from governments to for-profit companies have addressed concerns about data privacy with policies that enumerate the conditions for personal data…

Computers and Society · Computer Science 2022-12-14 Chinmaya Dabral , Emma Tosch , Chris Martens

Answer set programming (ASP) is a popular declarative programming paradigm with various applications. Programs can easily have many answer sets that cannot be enumerated in practice, but counting still allows quantifying solution spaces. If…

Artificial Intelligence · Computer Science 2023-11-14 Johannes K. Fichte , Sarah Alice Gaggl , Markus Hecher , Dominik Rusovac

Answer Set Programming (ASP) emerged in the late 1990ies as a paradigm for Knowledge Representation and Reasoning. The attractiveness of ASP builds on an expressive high-level modeling language along with the availability of powerful…

Artificial Intelligence · Computer Science 2021-09-20 Mario Alviano , Wolfgang Faber , Martin Gebser

Coupled human-environment systems are increasingly being understood as complex adaptive systems (CAS), in which micro-level interactions between components lead to emergent behavior. Agent-based models (ABMs) hold great promise for…

Applications · Statistics 2026-02-20 Dylan Munson , Arijit Dey , Simon Mak

A quantified Boolean formula (QBF) is a propositional formula extended with universal and existential quantification over propositions. There are two methodologies in CEGAR based QBF solving techniques, one that is based on a refinement…

Logic in Computer Science · Computer Science 2018-03-28 Leander Tentrup

An approach based on answer set programming (ASP) is proposed in this paper for representing knowledge generated from natural language texts. Knowledge in a text is modeled using a Neo Davidsonian-like formalism, which is then represented…

Computation and Language · Computer Science 2021-12-22 Dhruva Pendharkar , Kinjal Basu , Farhad Shakerin , Gopal Gupta

Answer Set Programming (ASP) is a well-established formalism for nonmonotonic reasoning. An ASP program can have no answer set due to cyclic default negation. In this case, it is not possible to draw any conclusion, even if this is not…

Logic in Computer Science · Computer Science 2017-07-24 Giovanni Amendola , Carmine Dodaro , Wolfgang Faber , Nicola Leone , Francesco Ricca

This paper investigates the possibility of performing automated reasoning in probabilistic logic when probabilities are expressed by means of linguistic quantifiers. Each linguistic term is expressed as a prescribed interval of proportions.…

Artificial Intelligence · Computer Science 2013-03-25 Didier Dubois , Henri Prade , Lluis Godo , Ramon Lopez de Mantaras

Dealing with context dependent knowledge has led to different formalizations of the notion of context. Among them is the Contextualized Knowledge Repository (CKR) framework, which is rooted in description logics but links on the reasoning…

Artificial Intelligence · Computer Science 2021-12-23 Loris Bozzato , Thomas Eiter , Rafael Kiesel

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

Quantified constraints and Quantified Boolean Formulae are typically much more difficult to reason with than classical constraints, because quantifier alternation makes the usual notion of solution inappropriate. As a consequence, basic…

Logic in Computer Science · Computer Science 2007-05-25 Lucas Bordeaux , Marco Cadoli , Toni Mancini

Answer Set Programming (ASP) is logic programming under the stable model or answer set semantics. During the last decade, this paradigm has seen several extensions by generalizing the notion of atom used in these programs. Among these,…

Artificial Intelligence · Computer Science 2014-05-07 Mario Alviano , Wolfgang Faber

Open answer set programming (OASP) is an extension of answer set programming where one may ground a program with an arbitrary superset of the program's constants. We define a fixed point logic (FPL) extension of Clark's completion such that…

Artificial Intelligence · Computer Science 2007-05-23 Stijn Heymans , Davy Van Nieuwenborgh , Dirk Vermeir

Resolution is the rule of inference at the basis of most procedures for automated reasoning. In these procedures, the input formula is first translated into an equisatisfiable formula in conjunctive normal form (CNF) and then represented as…

Artificial Intelligence · Computer Science 2011-11-04 E. Giunchiglia , M. Narizzano , A. Tacchella