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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

In this work, we propose Answer-Set Programming (ASP) as a tool for rapid prototyping of dynamic programming algorithms based on tree decompositions. In fact, many such algorithms have been designed, but only a few of them found their way…

Artificial Intelligence · Computer Science 2012-10-09 Bernhard Bliem , Michael Morak , Stefan Woltran

Answer Set Programming (ASP) is a popular logic programming paradigm that has been applied for solving a variety of complex problems. Among the most challenging real-world applications of ASP are two industrial problems defined by Siemens:…

Artificial Intelligence · Computer Science 2016-08-03 Carmine Dodaro , Philip Gasteiger , Nicola Leone , Benjamin Musitsch , Francesco Ricca , Kostyantyn Shchekotykhin

Answer Set Programming (ASP) is a well-established declarative problem solving paradigm which became widely used in AI and recognized as a powerful tool for knowledge representation and reasoning (KRR), especially for its high…

Artificial Intelligence · Computer Science 2017-07-24 Francesco Calimeri , Davide Fuscà , Stefano Germano , Simona Perri , Jessica Zangari

Repeated executions of reasoning tasks for varying inputs are necessary in many applicative settings, such as stream reasoning. In this context, we propose an incremental grounding approach for the answer set semantics. We focus on the…

Artificial Intelligence · Computer Science 2020-02-19 Francesco Calimeri , Giovambattista Ianni , Francesco Pacenza , Simona Perri , Jessica Zangari

The traditional ground-and-solve approach to Answer Set Programming (ASP) suffers from the grounding bottleneck, which makes large-scale problem instances unsolvable. Lazy grounding is an alternative approach that interleaves grounding with…

Artificial Intelligence · Computer Science 2019-07-22 Richard Taupe , Antonius Weinzierl , Gerhard Friedrich

Recently, Large Language Models (LLMs) have showcased their potential in various natural language processing tasks, including code generation. However, while significant progress has been made in adapting LLMs to generate code for several…

Machine Learning · Computer Science 2024-07-29 Erica Coppolillo , Francesco Calimeri , Giuseppe Manco , Simona Perri , Francesco Ricca

Answer set programming (ASP) is a successful declarative formalism for knowledge representation and reasoning. The evaluation of ASP programs is nowadays based on the Conflict-Driven Clause Learning (CDCL) backtracking search algorithm.…

Logic in Computer Science · Computer Science 2020-02-19 Carmine Dodaro , Francesco Ricca

The MCP Solver bridges Large Language Models (LLMs) with symbolic solvers through the Model Context Protocol (MCP), an open-source standard for AI system integration. Providing LLMs access to formal solving and reasoning capabilities…

Artificial Intelligence · Computer Science 2025-04-08 Stefan Szeider

Answer Set Programming (ASP) is an increasingly popular framework for declarative programming that admits the description of problems by means of rules and constraints that form a disjunctive logic program. In particular, many AI problems…

Computational Complexity · Computer Science 2014-03-07 Johannes Klaus Fichte , Stefan Szeider

Current trends in Machine Learning prefer explainability even when it comes at the cost of performance. Therefore, explainable AI methods are particularly important in the field of Fraud Detection. This work investigates the applicability…

Risk Management · Quantitative Finance 2024-10-30 Boris Wolfson , Erman Acar

In recent years, several frameworks and systems have been proposed that extend Inductive Logic Programming (ILP) to the Answer Set Programming (ASP) paradigm. In ILP, examples must all be explained by a hypothesis together with a given…

Artificial Intelligence · Computer Science 2016-08-08 Mark Law , Alessandra Russo , Krysia Broda

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

Answer Set Programming (ASP) is a declarative logic programming formalism, which is employed nowadays in both academic and industrial real-world applications. Although some tools for supporting the development of ASP programs have been…

Programming Languages · Computer Science 2011-08-30 Onofrio Febbraro , Nicola Leone , Kristian Reale , Francesco Ricca

We present a novel hybrid algorithm for training Deep Neural Networks that combines the state-of-the-art Gradient Descent (GD) method with a Mixed Integer Linear Programming (MILP) solver, outperforming GD and variants in terms of accuracy,…

Machine Learning · Computer Science 2022-07-26 Dhananjay Ashok , Vineel Nagisetty , Christopher Srinivasa , Vijay Ganesh

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

Mixed-Integer Linear Programs (MIPs) are powerful and flexible tools for modeling a wide range of real-world combinatorial optimization problems. Predict-and-Search methods operate by using a predictive model to estimate promising variable…

Artificial Intelligence · Computer Science 2026-04-21 Junyang Cai , El Mehdi Er Raqabi , Pascal Van Hentenryck , Bistra Dilkina

Answer set programming (ASP) is a logic programming paradigm that can be used to solve complex combinatorial search problems. Aggregates are an ASP construct that plays an important role in many applications. Defining a satisfactory…

Artificial Intelligence · Computer Science 2008-12-09 Paolo Ferraris

Answer Set Programming (ASP) provides a powerful declarative paradigm for knowledge representation and reasoning. Recently, counting answer sets has emerged as an important computational problem with applications in probabilistic reasoning,…

Logic in Computer Science · Computer Science 2025-07-17 Mohimenul Kabir , Supratik Chakraborty , Kuldeep S Meel

Answer Set Programming (ASP) has become, the paradigm of choice in the field of logic programming and non-monotonic reasoning. Thanks to the availability of efficient solvers, ASP has been successfully employed in a large number of…

Artificial Intelligence · Computer Science 2019-09-05 Agostino Dovier , Andrea Formisano , Flavio Vella
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