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We develop a computational approach to Metric Answer Set Programming (ASP) to allow for expressing quantitative temporal constrains, like durations and deadlines. A central challenge is to maintain scalability when dealing with fine-grained…

Artificial Intelligence · Computer Science 2025-06-11 Arvid Becker , Pedro Cabalar , Martin Diéguez , Javier Romero , Susana Hahn , Torsten Schaub

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

In temporal extensions of Answer Set Programming (ASP) based on linear-time, the behavior of dynamic systems is captured by sequences of states. While this representation reflects their relative order, it abstracts away the specific times…

Artificial Intelligence · Computer Science 2024-11-20 Arvid Becker , Pedro Cabalar , Martín Diéguez , Torsten Schaub , Anna Schuhmann

We introduce an implementation of an extension of Answer Set Programming (ASP) with language constructs from dynamic (and temporal) logic that provides an expressive computational framework for modeling dynamic applications. Starting from…

Artificial Intelligence · Computer Science 2020-02-20 Pedro Cabalar , Martín Diéguez , Torsten Schaub , François Laferrière

In temporal extensions of Answer Set Programming (ASP) based on linear-time, the behavior of dynamic systems is captured by sequences of states. While this representation reflects their relative order, it abstracts away the specific times…

Artificial Intelligence · Computer Science 2024-01-22 Arvid Becker , Pedro Cabalar , Martín Diéguez , Luis Fariñas , Torsten Schaub , Anna Schuhmann

The development of temporal extensions of Answer Set Programming (ASP) has led to the emergence of non-monotonic linear-time (TEL), dynamic (DEL), and metric (MEL) temporal equilibrium logics. However, the inherent rigidity of highly…

Artificial Intelligence · Computer Science 2026-05-29 Susana Hahn , Amade Nems , Javier Romero , Torsten Schaub

We elaborate upon the theoretical foundations of a metric temporal extension of Answer Set Programming. In analogy to previous extensions of ASP with constructs from Linear Temporal and Dynamic Logic, we accomplish this in the setting of…

Artificial Intelligence · Computer Science 2020-09-23 Pedro Cabalar , Martin Dieguez , Torsten Schaub , Anna Schuhmann

Reasoning about dynamic systems with a fine-grained temporal and numeric resolution presents significant challenges for logic-based approaches like Answer Set Programming (ASP). To address this, we introduce and elaborate upon a novel…

Artificial Intelligence · Computer Science 2026-01-14 Pedro Cabalar , Martín Diéguez , François Olivier , Torsten Schaub , Igor Stéphan

Weighted Logic is a powerful tool for the specification of calculations over semirings that depend on qualitative information. Using a novel combination of Weighted Logic and Here-and-There (HT) Logic, in which this dependence is based on…

Artificial Intelligence · Computer Science 2022-11-14 Thomas Eiter , Rafael Kiesel

We present a new approach to enhancing Answer Set Programming (ASP) with Constraint Processing techniques which allows for solving interesting Constraint Satisfaction Problems in ASP. We show how constraints on finite domains can be…

Logic in Computer Science · Computer Science 2010-07-26 Christian Drescher , Toby Walsh

In the design of integrated circuits, one critical metric is the maximum delay introduced by combinational modules within the circuit. This delay is crucial because it represents the time required to perform a computation: in an…

Artificial Intelligence · Computer Science 2026-01-14 Alessandro Bertagnon , Marcello Dalpasso , Michele Favalli , Marco Gavanelli

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

Answer set programming (ASP) aims to realize the AI vision: The user specifies the problem, and the computer solves it. Indeed, ASP has made this vision true in many application domains. However, will current ASP solving techniques scale up…

Artificial Intelligence · Computer Science 2026-01-08 Veronika Semmelrock , Gerhard Friedrich

Extending ASP with constraints (CASP) enhances its expressiveness and performance. This extension is not straightforward as the grounding phase, present in most ASP systems, removes variables and the links among them, and also causes a…

Programming Languages · Computer Science 2018-06-01 Joaquín Arias , Manuel Carro , Elmer Salazar , Kyle Marple , Gopal Gupta

This paper presents an Answer Set Programming (ASP)-based framework for medical appointment scheduling, aimed at improving efficiency, reducing administrative overhead, and enhancing patient-centered care. The framework personalizes…

Artificial Intelligence · Computer Science 2026-01-09 Alina Vozna , Andrea Monaldini , Stefania Costantini , Valentina Pitoni , Dawid Pado

Answer Set Programming (ASP) is a truly-declarative programming paradigm proposed in the area of non-monotonic reasoning and logic programming, that has been recently employed in many applications. The development of efficient ASP systems…

Artificial Intelligence · Computer Science 2020-02-19 Marco Maratea , Luca Pulina , Francesco Ricca

We deal with a challenging scheduling problem on parallel machines with sequence-dependent setup times and release dates from a real-world application of semiconductor work-shop production. There, jobs can only be processed by dedicated…

Artificial Intelligence · Computer Science 2024-11-01 Thomas Eiter , Tobias Geibinger , Nysret Musliu , Johannes Oetsch , Peter Skocovsky , Daria Stepanova

Answer Set Programming (ASP) is a well-established declarative paradigm. One of the successes of ASP is the availability of efficient systems. State-of-the-art systems are based on the ground+solve approach. In some applications this…

Artificial Intelligence · Computer Science 2018-02-01 Bernardo Cuteri , Carmine Dodaro , Francesco Ricca , Peter Schüller

Preference handling and optimization are indispensable means for addressing non-trivial applications in Answer Set Programming (ASP). However, their implementation becomes difficult whenever they bring about a significant increase in…

Logic in Computer Science · Computer Science 2011-07-29 Martin Gebser , Roland Kaminski , Torsten Schaub

We explore different ways of implementing temporal constraints expressed in an extension of Answer Set Programming (ASP) with language constructs from dynamic logic. Foremost, we investigate how automata can be used for enforcing such…

Artificial Intelligence · Computer Science 2021-09-07 Pedro Cabalar , Martín Diéguez , Susana Hahn , Torsten Schaub
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