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Answer Set Programming (ASP) is one of the major declarative programming paradigms in the area of logic programming and non-monotonic reasoning. Despite that ASP features a simple syntax and an intuitive semantics, errors are common during…

Artificial Intelligence · Computer Science 2020-02-19 Carmine Dodaro , Philip Gasteiger , Kristian Reale , Francesco Ricca , Konstantin Schekotihin

We propose an end-to-end approach for Answer Set Programming (ASP) and linear algebraically compute stable models satisfying given constraints. The idea is to implement Lin-Zhao's theorem together with constraints directly in vector spaces…

Artificial Intelligence · Computer Science 2025-10-03 Taisuke Sato , Akihiro Takemura , Katsumi Inoue

Approximate linear programming (ALP) and its variants have been widely applied to Markov Decision Processes (MDPs) with a large number of states. A serious limitation of ALP is that it has an intractable number of constraints, as a result…

Systems and Control · Computer Science 2017-04-11 Chandrashekar Lakshminarayanan , Shalabh Bhatnagar , Csaba Szepesvari

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

A vibrant theoretical research area are efficient exact parameterized algorithms. Very recent solving competitions such as the PACE challenge show that there is also increasing practical interest in the parameterized algorithms community.…

Logic in Computer Science · Computer Science 2017-06-29 Johannes K. Fichte , Markus Hecher , Michael Morak , Stefan Woltran

In executable task-oriented semantic parsing, the system aims to translate users' utterances in natural language to machine-interpretable programs (API calls) that can be executed according to pre-defined API specifications. With the…

Artificial Intelligence · Computer Science 2023-05-25 Shufan Wang , Sebastien Jean , Sailik Sengupta , James Gung , Nikolaos Pappas , Yi Zhang

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

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

Answer set programming (ASP) is a well-established knowledge representation formalism. Most ASP solvers are based on (extensions of) technology from Boolean satisfiability solving. While these solvers have shown to be very successful in…

Logic in Computer Science · Computer Science 2020-09-23 Wolf De Wulf , Bart Bogaerts

While past research in answer-set programming (ASP) mainly focused on theory, ASP solver technology, and applications, the present work situates itself in the context of a quite recent research trend: development support for ASP. In…

Software Engineering · Computer Science 2012-10-09 Marina De Vos , Doğa Gizem Kıza , Johannes Oetsch , Jörg Pührer , Hans Tompits

Answer set programming (ASP) is a popular nonmonotonic-logic based paradigm for knowledge representation and solving combinatorial problems. Computing the answer set of an ASP program is NP-hard in general, and researchers have been…

Artificial Intelligence · Computer Science 2021-04-06 Fang Li , Huaduo Wang , Gopal Gupta

Answer Set Programming (ASP) is a well-established paradigm of declarative programming in close relationship with other declarative formalisms such as SAT Modulo Theories, Constraint Handling Rules, FO(.), PDDL and many others. Since its…

Artificial Intelligence · Computer Science 2020-02-19 Francesco Calimeri , Giovambattista Ianni , Francesco Ricca

Answer Set Programming (ASP) is a declarative problem solving paradigm that can be used to encode a combinatorial problem as a logic program whose stable models correspond to the solutions of the considered problem. ASP has been widely…

Logic in Computer Science · Computer Science 2024-07-15 Van-Giang Trinh , Belaid Benhamou

In this paper, we examine the use of Conformal Language Modelling (CLM) alongside Answer Set Programming (ASP) to enhance the performance of standard open-weight LLMs on complex multi-step reasoning tasks. Using the StepGame dataset, which…

Computation and Language · Computer Science 2025-04-14 Navdeep Kaur , Lachlan McPheat , Alessandra Russo , Anthony G Cohn , Pranava Madhyastha

ACLP is a system which combines abductive reasoning and constraint solving by integrating the frameworks of Abductive Logic Programming (ALP) and Constraint Logic Programming (CLP). It forms a general high-level knowledge representation…

Artificial Intelligence · Computer Science 2007-05-23 Antonis Kakas

The recent series 5 of the ASP system clingo provides generic means to enhance basic Answer Set Programming (ASP) with theory reasoning capabilities. We instantiate this framework with different forms of linear constraints, discuss the…

Artificial Intelligence · Computer Science 2017-07-14 Tomi Janhunen , Roland Kaminski , Max Ostrowski , Torsten Schaub , Sebastian Schellhorn , Philipp Wanko

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

Answer Set Programming (ASP) is a well-established paradigm of declarative programming that has been developed in the field of logic programming and nonmonotonic reasoning. Advances in ASP solving technology are customarily assessed in…

Artificial Intelligence · Computer Science 2014-06-04 Francesco Calimeri , Martin Gebser , Marco Maratea , Francesco Ricca

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

Large Language Models (LLMs) have demonstrated remarkable performance across a broad spectrum of tasks, including natural language understanding, dialogue systems, and code generation. Despite evident progress, less attention has been paid…

Logic in Computer Science · Computer Science 2026-04-27 Manuel Alejandro Borroto Santana , Erica Coppolillo , Francesco Calimeri , Giuseppe Manco , Simona Perri , Francesco Ricca