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We study here a natural situation when constraint programming can be entirely reduced to rule-based programming. To this end we explain first how one can compute on constraint satisfaction problems using rules represented by simple…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt , Eric Monfroy

Dependency syntax represents the structure of a sentence as a tree composed of dependencies, i.e., directed relations between lexical units. While in its more general form any such tree is allowed, in practice many are not plausible or are…

Computation and Language · Computer Science 2026-04-07 Gómez-Rodríguez , Carlos , Alemany-Puig , Lluís

We tackle the problem of building explainable recommendation systems that are based on a per-user decision tree, with decision rules that are based on single attribute values. We build the trees by applying learned regression functions to…

Machine Learning · Computer Science 2019-12-20 Eyal Shulman , Lior Wolf

With dramatic improvements in optimization software, the solution of large-scale problems that seemed intractable decades ago are now a routine task. This puts even more real-world applications into the reach of optimizers. At the same…

Optimization and Control · Mathematics 2023-03-07 Marc Goerigk , Michael Hartisch

Building software-driven systems that are easily understood becomes a challenge, with their ever-increasing complexity and autonomy. Accordingly, recent research efforts strive to aid in designing explainable systems. Nevertheless, a common…

Artificial Intelligence · Computer Science 2019-02-11 Dimitri Bohlender , Maximilian A. Köhl

We discuss here constraint programming (CP) by using a proof-theoretic perspective. To this end we identify three levels of abstraction. Each level sheds light on the essence of CP. In particular, the highest level allows us to bring CP…

Programming Languages · Computer Science 2007-05-23 Krzysztof R. Apt

Explainability is crucial for complex systems like pervasive smart environments, as they collect and analyze data from various sensors, follow multiple rules, and control different devices resulting in behavior that is not trivial and,…

Human-Computer Interaction · Computer Science 2024-02-21 Mersedeh Sadeghi , Lars Herbold , Max Unterbusch , Andreas Vogelsang

In the talk at the workshop my aim was to demonstrate the usefulness of graph techniques for tackling problems that have been studied predominantly as problems on the term level: increasing sharing in functional programs, and addressing…

Logic in Computer Science · Computer Science 2019-02-07 Clemens Grabmayer

The diversity of patterns that emerge from complex systems motivates their use for scientific or artistic purposes. When exploring these systems, the challenges faced are the size of the parameter space and the strongly non-linear mapping…

Machine Learning · Computer Science 2025-10-02 Bastien Morel , Clément Moulin-Frier , Pascal Barla

The emergence of tools based on artificial intelligence has also led to the need of producing explanations which are understandable by a human being. In most approaches, the system is considered a black box, making it difficult to generate…

Artificial Intelligence · Computer Science 2024-10-23 Germán Vidal

Software architecture knowledge transfer is essential for software development, but related documentation is often incomplete or ambiguous, making oral explanations a common means. Our broader aim is to explore how such explanations might…

Software Engineering · Computer Science 2025-09-03 Satrio Adi Rukmono , Filip Zamfirov , Lina Ochoa , Floris Pex , Michel Chaudron

In the last years, XAI research has mainly been concerned with developing new technical approaches to explain deep learning models. Just recent research has started to acknowledge the need to tailor explanations to different contexts and…

Artificial Intelligence · Computer Science 2021-10-11 Bettina Finzel , David E. Tafler , Stephan Scheele , Ute Schmid

The goal of constraint-based sequence mining is to find sequences of symbols that are included in a large number of input sequences and that satisfy some constraints specified by the user. Many constraints have been proposed in the…

Artificial Intelligence · Computer Science 2015-02-26 Benjamin Negrevergne , Tias Guns

Constraint programming can definitely be seen as a model-driven paradigm. The users write programs for modeling problems. These programs are mapped to executable models to calculate the solutions. This paper focuses on efficient model…

Artificial Intelligence · Computer Science 2010-02-16 Raphael Chenouard , Laurent Granvilliers , Ricardo Soto

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 present a new methodology for utilising machine learning technology in symbolic computation research. We explain how a well known human-designed heuristic to make the choice of variable ordering in cylindrical algebraic decomposition may…

Symbolic Computation · Computer Science 2024-04-29 Dorian Florescu , Matthew England

We encode arrays as functions which, in turn, are encoded as sets of ordered pairs. The set cardinality of each of these functions coincides with the length of the array it is representing. Then we define a fragment of set theory that is…

Logic in Computer Science · Computer Science 2026-05-12 Maximiliano Cristiá , Gianfranco Rossi

Interpretable Machine Learning faces a recurring challenge of explaining the predictions made by opaque classifiers such as ensemble models, kernel methods, or neural networks in terms that are understandable to humans. When the model is…

Machine Learning · Computer Science 2024-11-14 Frederic Koriche , Jean-Marie Lagniez , Stefan Mengel , Chi Tran

To model combinatorial decision problems involving uncertainty and probability, we introduce stochastic constraint programming. Stochastic constraint programs contain both decision variables (which we can set) and stochastic variables…

Artificial Intelligence · Computer Science 2009-03-09 Toby Walsh

Recently, decision trees (DT) have been used as an explainable representation of controllers (a.k.a. strategies, policies, schedulers). Although they are often very efficient and produce small and understandable controllers for discrete…

Machine Learning · Computer Science 2022-08-30 Florian Jüngermann , Jan Křetínský , Maximilian Weininger