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A general theory of programs, programming and programming languages built up from a few concepts of elementary set theory. Derives, as theorems, properties treated as axioms by classic approaches to programming. Covers sequential and…

Programming Languages · Computer Science 2015-12-08 Bertrand Meyer

Aggregates are among the most frequently used linguistic extensions of answer set programming. The result of an aggregation may introduce new constants during the instantiation of the input program, a feature known as value invention. When…

Logic in Computer Science · Computer Science 2018-04-24 Mario Alviano , Carmine Dodaro , Marco Maratea

We propose an approximation of the Possible Worlds Semantics (PWS) for action planning. A corresponding planning system is implemented by a transformation of the action specification to an Answer-Set Program. A novelty is support for…

Artificial Intelligence · Computer Science 2013-06-17 Manfred Eppe , Mehul Bhatt , Frank Dylla

Answer Set Programming (ASP) is a declarative programming paradigm based on logic programming and non-monotonic reasoning. It is a tremendously powerful tool for describing and solving combinatorial problems. Like any other language, ASP…

Artificial Intelligence · Computer Science 2025-11-13 Connar Hite , Sean Saud , Raef Taha , Nayim Rahman , Tanvir Atahary , Scott Douglass , Tarek Taha

Answer Set Programming (ASP) is a prominent knowledge representation language with roots in logic programming and non-monotonic reasoning. Biennial ASP competitions are organized in order to furnish challenging benchmark collections and…

Artificial Intelligence · Computer Science 2020-02-19 Martin Gebser , Marco Maratea , Francesco Ricca

Over the past decades, Answer Set Programming (ASP) has emerged as an important paradigm for declarative problem solving. Technological progress in this area has been stimulated by the use of common standards, such as the ASP-Core-2…

Artificial Intelligence · Computer Science 2021-08-10 Kylian Van Dessel , Jo Devriendt , Joost Vennekens

Powerful formalisms for abstract argumentation have been proposed, among them abstract dialectical frameworks (ADFs) that allow for a succinct and flexible specification of the relationship between arguments, and the GRAPPA framework which…

Artificial Intelligence · Computer Science 2020-04-22 Gerhard Brewka , Martin Diller , Georg Heissenberger , Thomas Linsbichler , Stefan Woltran

We propose iterative projection methods for solving square or rectangular consistent linear systems Ax = b. Existing projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems, but…

Numerical Analysis · Mathematics 2023-12-13 Johannes J. Brust , Michael A. Saunders

Open answer set programming (OASP) is an extension of answer set programming where one may ground a program with an arbitrary superset of the program's constants. We define a fixed point logic (FPL) extension of Clark's completion such that…

Artificial Intelligence · Computer Science 2007-05-23 Stijn Heymans , Davy Van Nieuwenborgh , Dirk Vermeir

Nested answer set programming (NASP; Lifschitz et al., 1999) generalizes answer set programming (ASP) by admitting nested expressions in rule bodies and heads, and thus, NASP aims at exploiting program succinctness. Yet, although NASP…

Logic in Computer Science · Computer Science 2025-04-08 Gonzalo E. Imaz

The advance of Internet and Sensor technology has brought about new challenges evoked by the emergence of continuous data streams. Beyond rapid data processing, application areas like ambient assisted living, robotics, or dynamic scheduling…

Artificial Intelligence · Computer Science 2013-01-09 Martin Gebser , Torsten Grote , Roland Kaminski , Philipp Obermeier , Orkunt Sabuncu , Torsten Schaub

We describe the new version of the PDDL-to-ASP translator plasp. First, it widens the range of accepted PDDL features. Second, it contains novel planning encodings, some inspired by SAT planning and others exploiting ASP features such as…

Logic in Computer Science · Computer Science 2020-02-19 Yannis Dimopoulos , Martin Gebser , Patrick Lühne , Javier Romero , Torsten Schaub

Answer Set Programming (ASP) is a declarative problem solving paradigm that can be used to encode a combinatorial problem as a logic program whose stable models correspond to the solutions of the considered problem. ASP has been widely…

Logic in Computer Science · Computer Science 2024-07-15 Van-Giang Trinh , Belaid Benhamou

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

Programming language modeling has attracted extensive attention in recent years, and it plays an essential role in program processing fields. Statistical language models, which are initially designed for natural languages, have been…

Software Engineering · Computer Science 2020-02-12 Fang Liu , Lu Zhang , Zhi Jin

A recurring pattern in "reasoning without training" is that base LLMs already assign non-trivial probability mass to correct multi-step solutions; the bottleneck is locating these modes efficiently at inference time. Power sampling provides…

Artificial Intelligence · Computer Science 2026-05-13 Tu Nguyen , Matthieu Zimmer , Rasul Tutunov , Xiaotong Ji , Haitham Bou Ammar

A unified linear algebraic approach to adaptive signal processing (ASP) is presented. Starting from just Ax=b, key ASP algorithms are derived in a simple, systematic, and integrated manner without requiring any background knowledge to the…

Systems and Control · Computer Science 2015-04-24 Muhammad Ali Raza Anjum

Nieuwenhuis, Oliveras, and Tinelli (2006) showed how to describe enhancements of the Davis-Putnam-Logemann-Loveland algorithm using transition systems, instead of pseudocode. We design a similar framework for several algorithms that…

Artificial Intelligence · Computer Science 2010-01-07 Yuliya Lierler

A coreset (or core-set) of an input set is its small summation, such that solving a problem on the coreset as its input, provably yields the same result as solving the same problem on the original (full) set, for a given family of problems…

Machine Learning · Computer Science 2019-10-22 Ibrahim Jubran , Alaa Maalouf , Dan Feldman

The goal of Inductive Logic Programming (ILP) is to learn a program that explains a set of examples in the context of some pre-existing background knowledge. Until recently, most research on ILP targeted learning Prolog programs. Our own…

Artificial Intelligence · Computer Science 2020-05-05 Mark Law , Alessandra Russo , Krysia Broda