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We propose Differentiable Satisfiability and Differentiable Answer Set Programming (Differentiable SAT/ASP) for multi-model optimization. Models (answer sets or satisfying truth assignments) are sampled using a novel SAT/ASP solving…

Artificial Intelligence · Computer Science 2019-01-01 Matthias Nickles

Answer Set Programming (ASP) is a popular framework for modeling combinatorial problems. However, ASP cannot easily be used for reasoning about uncertain information. Possibilistic ASP (PASP) is an extension of ASP that combines…

Artificial Intelligence · Computer Science 2020-02-19 Kim Bauters , Steven Schockaert , Martine De Cock , Dirk Vermeir

Answer Set Programming Modulo Theories (ASPMT) is a new framework of tight integration of answer set programming (ASP) and satisfiability modulo theories (SMT). Similar to the relationship between first-order logic and SMT, it is based on a…

Artificial Intelligence · Computer Science 2025-07-08 Joohyung Lee , Yunsong Meng

We present the hybrid ASP solver clingcon, combining the simple modeling language and the high performance Boolean solving capacities of Answer Set Programming (ASP) with techniques for using non-Boolean constraints from the area of…

Logic in Computer Science · Computer Science 2012-10-09 Max Ostrowski , Torsten Schaub

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

Answer Set Programming (ASP) is a powerful modelling formalism that is very efficient in solving combinatorial problems. ASP solvers implement the stable model semantics that eliminates circular derivations between Boolean variables from…

Artificial Intelligence · Computer Science 2014-05-15 Rehan Abdul Aziz

We present plingo, an extension of the ASP system clingo with various probabilistic reasoning modes. Plingo is centered upon LP^MLN, a probabilistic extension of ASP based on a weight scheme from Markov Logic. This choice is motivated by…

Artificial Intelligence · Computer Science 2024-10-23 Susana Hahn , Tomi Janhunen , Roland Kaminski , Javier Romero , Nicolas Rühling , Torsten Schaub

Answer set programming is a declarative programming paradigm oriented towards difficult combinatorial search problems. A fundamental task in answer set programming is to compute stable models, i.e., solutions of logic programs. Answer set…

Artificial Intelligence · Computer Science 2020-02-19 Remi Brochenin , Yuliya Lierler , Marco Maratea

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

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

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

Answer Set Programming (ASP) is an important logic programming paradigm within the field of Knowledge Representation and Reasoning. As a concise, human-readable, declarative language, ASP is an excellent tool for developing trustworthy…

Logic in Computer Science · Computer Science 2025-02-14 Zachary Hansen

Artificial Intelligence (AI) approaches to problem-solving and decision-making are becoming more and more complex, leading to a decrease in the understandability of solutions. The European Union's new General Data Protection Regulation…

Artificial Intelligence · Computer Science 2018-09-24 Jorge Fandinno , Claudia Schulz

In this paper, we apply incremental answer set solving to product configuration. Incremental answer set solving is a step-wise incremental approach to Answer Set Programming (ASP). We demonstrate how to use this technique to solve product…

Artificial Intelligence · Computer Science 2022-11-08 Richard Comploi-Taupe , Giulia Francescutto , Gottfried Schenner

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

Artificial Intelligence · Computer Science 2026-01-29 Arvid Becker , Pedro Cabalar , Martin Diéguez , Susana Hahn , Javier Romero , Torsten Schaub

The Power grid is a critical infrastructure underpinning all aspects of modern society and its services. Maintaining its effectiveness requires continuous adaptations. In particular, addressing sustainability targets, demand patterns, and…

Logic in Computer Science · Computer Science 2026-05-20 Antonio Ielo , Francesco Doria , Sandra Castellanos-Paez , Marco Maratea , Francesco Percassi , Mauro Vallati

The design of embedded systems, that are ubiquitously used in mobile devices and cars, is becoming continuously more complex such that efficient system-level design methods are becoming crucial. My research aims at developing systems that…

Artificial Intelligence · Computer Science 2019-05-15 Philipp Wanko

Detecting sets of relevant patterns from a given dataset is an important challenge in data mining. The relevance of a pattern, also called utility in the literature, is a subjective measure and can be actually assessed from very different…

Artificial Intelligence · Computer Science 2023-03-24 Francesco Cauteruccio , Giorgio Terracina

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

Modern semiconductor manufacturing involves intricate production processes consisting of hundreds of operations, which can take several months from lot release to completion. The high-tech machines used in these processes are diverse,…

Artificial Intelligence · Computer Science 2023-09-15 Mohammed M. S. El-Kholany , Ramsha Ali , Martin Gebser