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PDDL+ is an extension of PDDL that enables modelling planning domains with mixed discrete-continuous dynamics. In this paper we present a new approach to PDDL+ planning based on Constraint Answer Set Programming (CASP), i.e. ASP rules plus…

Artificial Intelligence · Computer Science 2016-09-02 Marcello Balduccini , Daniele Magazzeni , Marco Maratea

In answer set programming, two groups of rules are considered strongly equivalent if they have the same meaning in any context. Strong equivalence of two programs can be sometimes established by deriving rules of each program from rules of…

Logic in Computer Science · Computer Science 2026-01-14 Jorge Fandinno , Vladimir Lifschitz

Automating the translation of natural-language specifications into logic programs is a challenging task that affects neurosymbolic engineering. We present ASP-Bench, a benchmark comprising 128 natural language problem instances, 64 base…

Artificial Intelligence · Computer Science 2026-02-03 Stefan Szeider

We present a general approach to planning with incomplete information in Answer Set Programming (ASP). More precisely, we consider the problems of conformant and conditional planning with sensing actions and assumptions. We represent…

Artificial Intelligence · Computer Science 2021-08-17 Jorge Fandinno , François Laferrière , Javier Romero , Torsten Schaub , Tran Cao Son

The goal of Inductive Logic Programming (ILP) is to learn a program that explains a set of examples. Until recently, most research on ILP targeted learning Prolog programs. The ILASP system instead learns Answer Set Programs (ASP). Learning…

Artificial Intelligence · Computer Science 2022-01-19 Mark Law

Auto-formalization (AF) translates natural-language reasoning problems into solver-executable programs, enabling symbolic solvers to perform sound logical deduction. In practice, however, AF pipelines are currently brittle: programs may…

Artificial Intelligence · Computer Science 2026-03-30 Zhiyu Ni , Zheng Liang , Liangcheng Song , Chenrui Cao , Xian Zhang , Alberto Sangiovanni-Vincentelli , Pierluigi Nuzzo

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

HEX-programs are an extension of the Answer Set Programming (ASP) paradigm incorporating external means of computation into the declarative programming language through so-called external atoms. Their semantics is defined in terms of…

Logic in Computer Science · Computer Science 2013-01-09 Thomas Eiter , Michael Fink , Thomas Krennwallner , Christoph Redl , Peter Schüller

We propose a method for generating explainable rule sets from tree-ensemble learners using Answer Set Programming (ASP). To this end, we adopt a decompositional approach where the split structures of the base decision trees are exploited in…

Artificial Intelligence · Computer Science 2021-09-20 Akihiro Takemura , Katsumi Inoue

In recent years, Answer Set Programming (ASP), logic programming under the stable model or answer set semantics, has seen several extensions by generalizing the notion of an atom in these programs: be it aggregate atoms, HEX atoms,…

Artificial Intelligence · Computer Science 2013-12-23 Mario Alviano , Wolfgang Faber

This article is concerned with the application of the program extraction technique to a new class of problems: the synthesis of decision procedures for the classical satisfiability problem that are correct by construction. To this end, we…

Logic in Computer Science · Computer Science 2015-07-01 Ulrich Berger , Andrew Lawrence , Fredrik Nordvall Forsberg , Monika Seisenberger

In the context of answer set programming, this work investigates symmetry detection and symmetry breaking to eliminate symmetric parts of the search space and, thereby, simplify the solution process. We contribute a reduction of symmetry…

Logic in Computer Science · Computer Science 2010-08-31 Christian Drescher

One challenge in fact checking is the ability to improve the transparency of the decision. We present a fact checking method that uses reference information in knowledge graphs (KGs) to assess claims and explain its decisions. KGs contain a…

Databases · Computer Science 2019-06-24 Naser Ahmadi , Joohyung Lee , Paolo Papotti , Mohammed Saeed

While the solution counting problem for propositional satisfiability (#SAT) has received renewed attention in recent years, this research trend has not affected other AI solving paradigms like answer set programming (ASP). Although ASP…

Logic in Computer Science · Computer Science 2016-12-23 Johannes Fichte , Markus Hecher , Michael Morak , Stefan Woltran

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

This study explores the application of Answer Set Programming (ASP) for detecting anomalies in system logs, addressing the challenges posed by evolving cyber threats. We propose a novel framework that leverages ASP's declarative nature and…

Cryptography and Security · Computer Science 2025-12-05 Fang Li , Fei Zuo , Gopal Gupta

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

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 present an explanation system for applications that leverage Answer Set Programming (ASP). Given a program P, an answer set A of P, and an atom a in the program P, our system generates all explanation graphs of a which help explain why a…

Artificial Intelligence · Computer Science 2021-04-20 Ly Ly Trieu , Tran Cao Son , Enrico Pontelli , Marcello Balduccini

In the field of Answer Set Programming (ASP), two logic programs are strongly equivalent if they are ordinarily equivalent under any extensions. This property provides a theoretical foundation for studying many aspects of logic programs…

Logic in Computer Science · Computer Science 2021-12-07 Zhizheng Zhang , Shutao Zhang , Yanghe Feng , Bin Wang