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Answer set programming (ASP) with disjunction offers a powerful tool for declaratively representing and solving hard problems. Many NP-complete problems can be encoded in the answer set semantics of logic programs in a very concise and…

Artificial Intelligence · Computer Science 2007-05-23 Thomas Eiter , Axel Polleres

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

Approximation Fixpoint Theory (AFT) is a powerful theory covering various semantics of non-monotonic reasoning formalisms in knowledge representation such as Logic Programming and Answer Set Programming. Many semantics of such non-monotonic…

Artificial Intelligence · Computer Science 2025-06-23 Linde Vanbesien , Bart Bogaerts , Marc Denecker

In this paper, we present ASPEN, an answer set programming (ASP) implementation of a recently proposed declarative framework for collective entity resolution (ER). While an ASP encoding had been previously suggested, several practical…

We propose Answer Set Programming (ASP) as an approach for modeling and solving problems from the area of Declarative Process Mining (DPM). We consider here three classical problems, namely, Log Generation, Conformance Checking, and Query…

Artificial Intelligence · Computer Science 2022-09-27 Francesco Chiariello , Fabrizio Maria Maggi , Fabio Patrizi

Open logic programs and open entailment have been recently proposed as an abstract framework for the verification of incomplete specifications based upon normal logic programs and the stable model semantics. There are obvious analogies…

Artificial Intelligence · Computer Science 2007-05-23 Piero A. Bonatti

We develop an inductive proof-technique to generate imperative programs for pointer data structures from behavioural specifications expressed in the Answer Set Programming (ASP) formalism. ASP is a non-monotonic logic based formalism that…

Logic in Computer Science · Computer Science 2020-08-14 Sarat Chandra Varanasi , Neeraj Mittal , Gopal Gupta

Different notions of equivalence, such as the prominent notions of strong and uniform equivalence, have been studied in Answer-Set Programming, mainly for the purpose of identifying programs that can serve as substitutes without altering…

Artificial Intelligence · Computer Science 2010-06-16 Michael Fink

Answer Set Programming (ASP) is a powerful modeling formalism for combinatorial problems. However, writing ASP models is not trivial. We propose a novel method, called Sketched Answer Set Programming (SkASP), aiming at supporting the user…

Artificial Intelligence · Computer Science 2018-08-23 Sergey Paramonov , Christian Bessiere , Anton Dries , Luc De Raedt

In recent years answer set programming has been extended to deal with multi-valued predicates. The resulting formalisms allows for the modeling of continuous problems as elegantly as ASP allows for the modeling of discrete problems, by…

Programming Languages · Computer Science 2011-04-28 Jeroen Janssen , Steven Schockaert , Dirk Vermeir , Martine De Cock

Answer Set Programming (ASP) is a declarative logic formalism that allows to encode computational problems via logic programs. Despite the declarative nature of the formalism, some advanced expertise is required, in general, for designing…

Artificial Intelligence · Computer Science 2020-09-23 Elena Mastria , Jessica Zangari , Simona Perri , Francesco Calimeri

Fuzzy logic programming is an established approach for reasoning under uncertainty. Several semantics from classical, two-valued logic programming have been generalized to the case of fuzzy logic programs. In this paper, we show that two of…

Logic in Computer Science · Computer Science 2025-07-17 Pascal Kettmann , Jesse Heyninck , Hannes Strass

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

Recently, Large Language Models (LLMs) have showcased their potential in various natural language processing tasks, including code generation. However, while significant progress has been made in adapting LLMs to generate code for several…

Machine Learning · Computer Science 2024-07-29 Erica Coppolillo , Francesco Calimeri , Giuseppe Manco , Simona Perri , Francesco Ricca

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

We discuss the evolution of aspects of nonmonotonic reasoning towards the computational paradigm of answer-set programming (ASP). We give a general overview of the roots of ASP and follow up with the personal perspective on research…

Artificial Intelligence · Computer Science 2011-08-17 Victor W. Marek , Ilkka Niemela , Miroslaw Truszczynski

This paper explores the contributions of Answer Set Programming (ASP) to the study of an established theory from the field of Second Language Acquisition: Input Processing. The theory describes default strategies that learners of a second…

Artificial Intelligence · Computer Science 2020-02-19 Daniela Inclezan

We elaborate upon the formal foundations of hybrid Answer Set Programming (ASP) and extend its underlying logical framework with aggregate functions over constraint values and variables. This is achieved by introducing the construct of…

Artificial Intelligence · Computer Science 2020-02-25 Pedro Cabalar , Jorge Fandinno , Torsten Schaub , Philipp Wanko

Answer Set Programming (ASP) has emerged as a promising paradigm in knowledge representation and automated reasoning owing to its ability to model hard combinatorial problems from diverse domains in a natural way. Building on advances in…

Logic in Computer Science · Computer Science 2023-12-20 Mohimenul Kabir , Supratik Chakraborty , Kuldeep S Meel

Answer set programming is a leading declarative constraint programming paradigm with wide use for complex knowledge-intensive applications. Modern answer set programming languages support many equivalent ways to model constraints and…

Artificial Intelligence · Computer Science 2020-09-23 Michael Dingess , Miroslaw Truszczynski
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