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We build on a recently proposed method for stepwise explaining solutions of Constraint Satisfaction Problems (CSP) in a human-understandable way. An explanation here is a sequence of simple inference steps where simplicity is quantified…

Artificial Intelligence · Computer Science 2023-11-29 Emilio Gamba , Bart Bogaerts , Tias Guns

In various areas of computer science, the problem of dealing with a set of constraints arises. If the set of constraints is unsatisfiable, one may ask for a minimal description of the reason for this unsatisifi- ability. Minimal…

Artificial Intelligence · Computer Science 2016-06-13 Jaroslav Bendik , Nikola Benes , Ivana Cerna , Jiri Barnat

Given an unsatisfiable formula, understanding the core reason for unsatisfiability is crucial in several applications. One effective way to capture this is through the minimal unsatisfiable subset (MUS), the subset-minimal set of clauses…

Artificial Intelligence · Computer Science 2026-01-08 Mohimenul Kabir , Kuldeep S Meel

In various areas of computer science, we deal with a set of constraints to be satisfied. If the constraints cannot be satisfied simultaneously, it is desirable to identify the core problems among them. Such cores are called minimal…

Logic in Computer Science · Computer Science 2018-05-09 Jaroslav Bendik , Ivana Cerna , Nikola Benes

This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

Artificial Intelligence · Computer Science 2014-11-17 R. A Helzerman , M. P. Harper

Finding Minimal Unsatisfiable Subsets (MUSes) of binary constraints is a common problem in infeasibility analysis of over-constrained systems. However, because of the exponential search space of the problem, enumerating MUSes is extremely…

Artificial Intelligence · Computer Science 2024-02-27 Panagiotis Lymperopoulos , Liping Liu

In eXplainable Constraint Solving (XCS), it is common to extract a Minimal Unsatisfiable Subset (MUS) from a set of unsatisfiable constraints. This helps explain to a user why a constraint specification does not admit a solution. Finding…

Artificial Intelligence · Computer Science 2024-12-19 Ignace Bleukx , Hélène Verhaeghe , Bart Bogaerts , Tias Guns

The proposed approach is to formalise the probabilistic puzzle in equational FOL. Two formalisations are needed: one theory for all models of the given puzzle, and a second theory for the favorable models. Then Mace4 - that computes all the…

Artificial Intelligence · Computer Science 2023-05-22 Adrian Groza

Deep neural models have repeatedly proved excellent at memorizing surface patterns from large datasets for various ML and NLP benchmarks. They struggle to achieve human-like thinking, however, because they lack the skill of iterative…

Computation and Language · Computer Science 2020-04-29 Gözde Gül Şahin , Yova Kementchedjhieva , Phillip Rust , Iryna Gurevych

Solving crossword puzzles requires diverse reasoning capabilities, access to a vast amount of knowledge about language and the world, and the ability to satisfy the constraints imposed by the structure of the puzzle. In this work, we…

Computation and Language · Computer Science 2022-05-24 Saurabh Kulshreshtha , Olga Kovaleva , Namrata Shivagunde , Anna Rumshisky

Probabilistic puzzles can be confusing, partly because they are formulated in natural languages - full of unclarities and ambiguities - and partly because there is no widely accepted and intuitive formal language to express them. We propose…

Logic in Computer Science · Computer Science 2025-04-11 Elena Di Lavore , Bart Jacobs , Mario Román

In this work, we explore a genre of puzzles ("image riddles") which involves a set of images and a question. Answering these puzzles require both capabilities involving visual detection (including object, activity recognition) and,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-21 Somak Aditya , Yezhou Yang , Chitta Baral , Yiannis Aloimonos

Mastermind is in essence a search problem in which a string of symbols that is kept secret must be found by sequentially playing strings that use the same alphabet, and using the responses that indicate how close are those other strings to…

Neural and Evolutionary Computing · Computer Science 2012-07-06 J. J. Merelo , Antonio M. Mora , Carlos Cotta , Thomas P. Runarsson

We consider a set of challenging sequential manipulation puzzles, where an agent has to interact with multiple movable objects and navigate narrow passages. Such settings are notoriously difficult for Task-and-Motion Planners, as they…

Robotics · Computer Science 2024-05-06 Svetlana Levit , Joaquim Ortiz-Haro , Marc Toussaint

We build on a recently proposed method for explaining solutions of constraint satisfaction problems. An explanation here is a sequence of simple inference steps, where the simplicity of an inference step is measured by the number and types…

Artificial Intelligence · Computer Science 2021-07-06 Emilio Gamba , Bart Bogaerts , Tias Guns

Cryptic crossword clues are challenging language tasks for which new test sets are released daily by major newspapers on a global basis. Each cryptic clue contains both the definition of the answer to be placed in the crossword grid (in…

Computation and Language · Computer Science 2025-06-06 Martin Andrews , Sam Witteveen

Progress in sentence simplification has been hindered by a lack of labeled parallel simplification data, particularly in languages other than English. We introduce MUSS, a Multilingual Unsupervised Sentence Simplification system that does…

Computation and Language · Computer Science 2021-04-19 Louis Martin , Angela Fan , Éric de la Clergerie , Antoine Bordes , Benoît Sagot

A study of assisted problem solving formalized via decompositions of deterministic finite automata is initiated. The landscape of new types of decompositions of finite automata this study uncovered is presented. Languages with various…

Computational Complexity · Computer Science 2007-07-04 Peter Gaži , Branislav Rovan

This paper presents a corpus-based approach to word sense disambiguation that builds an ensemble of Naive Bayesian classifiers, each of which is based on lexical features that represent co--occurring words in varying sized windows of…

Computation and Language · Computer Science 2007-05-23 Ted Pedersen

Large language models (LLMs) often behave inconsistently across inputs, indicating uncertainty and motivating the need for its quantification in high-stakes settings. Prior work on calibration and uncertainty quantification often focuses on…

Machine Learning · Computer Science 2025-09-08 Maya Kruse , Majid Afshar , Saksham Khatwani , Anoop Mayampurath , Guanhua Chen , Yanjun Gao
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