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Many logic programming based approaches can be used to describe and solve combinatorial search problems. On the one hand there is constraint logic programming which computes a solution as an answer substitution to a query containing the…

Artificial Intelligence · Computer Science 2007-05-23 Nikolay Pelov , Emmanuel De Mot , Marc Denecker

A logic programming paradigm which expresses solutions to problems as stable models has recently been promoted as a declarative approach to solving various combinatorial and search problems, including planning problems. In this paradigm,…

Artificial Intelligence · Computer Science 2007-05-23 Maurice Bruynooghe

A logic program is an executable specification. For example, merge sort in pure Prolog is a logical formula, yet shows creditable performance on long linked lists. But such executable specifications are a compromise: the logic is distorted…

Programming Languages · Computer Science 2015-09-29 M. H. van Emden

Answer set programming is a prominent declarative programming paradigm used in formulating combinatorial search problems and implementing different knowledge representation formalisms. Frequently, several related and yet substantially…

Artificial Intelligence · Computer Science 2023-03-01 Yuliya Lierler

Compared with constraint satisfaction problems, counting problems have received less attention. In this paper, we survey research works on the problems of counting the number of solutions to constraints. The constraints may take various…

Artificial Intelligence · Computer Science 2020-12-29 Jian Zhang , Cunjing Ge , Feifei Ma

This article presents an overview of applications of logic programming, classifying them based on the abstractions and implementations of logic languages that support the applications. The three key abstractions are join, recursion, and…

Programming Languages · Computer Science 2023-08-29 Yanhong A. Liu

Answer-set programming (ASP) paradigm is a way of using logic to solve search problems. Given a search problem, to solve it one designs a theory in the logic so that models of this theory represent problem solutions. To compute a solution…

Logic in Computer Science · Computer Science 2007-05-23 Deborah East , Miroslaw Truszczynski

In order to give appropriate semantics to qualitative conditionals of the form "if A then normally B", ordinal conditional functions (OCFs) ranking the possible worlds according to their degree of plausibility can be used. An OCF accepting…

Artificial Intelligence · Computer Science 2011-08-31 Christoph Beierle , Gabriele Kern-Isberner , Karl Södler

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

Logic programs with ordered disjunction (LPODs) combine ideas underlying Qualitative Choice Logic (Brewka et al. KR 2002) and answer set programming. Logic programming under answer set semantics is extended with a new connective called…

Artificial Intelligence · Computer Science 2007-05-23 Gerhard Brewka

In the logic programming paradigm, a program is defined by a set of methods, each of which can be executed when specific conditions are met during the current state of an execution. The semantics of these programs can be elegantly…

Logic in Computer Science · Computer Science 2024-10-02 Matteo Acclavio , Roberto Maieli

Testing algorithms across a wide range of problem instances is crucial to ensure the validity of any claim about one algorithm's superiority over another. However, when it comes to inference algorithms for probabilistic logic programs,…

Logic in Computer Science · Computer Science 2020-09-14 Paulius Dilkas , Vaishak Belle

The search for information on the web is faced with several problems, which arise on the one hand from the vast number of available sources, and on the other hand from their heterogeneity. A promising approach is the use of multi-agent…

Multiagent Systems · Computer Science 2007-05-23 T. Eiter , M. Fink , G. Sabbatini , H. Tompits

Logic programming is a flexible programming paradigm due to the use of predicates without a fixed data flow. To extend logic languages with the compact notation of functional programming, there are various proposals to map evaluable…

Programming Languages · Computer Science 2022-05-17 Michael Hanus

Part of the theory of logic programming and nonmonotonic reasoning concerns the study of fixed-point semantics for these paradigms. Several different semantics have been proposed during the last two decades, and some have been more…

Artificial Intelligence · Computer Science 2007-05-23 Pascal Hitzler , Matthias Wendt

Program synthesis is a class of regression problems where one seeks a solution, in the form of a source-code program, mapping the inputs to their corresponding outputs exactly. Due to its precise and combinatorial nature, program synthesis…

Artificial Intelligence · Computer Science 2018-06-08 Yewen Pu , Zachery Miranda , Armando Solar-Lezama , Leslie Pack Kaelbling

In this paper we reexamine the place and role of stable model semantics in logic programming and contrast it with a least Herbrand model approach to Horn programs. We demonstrate that inherent features of stable model semantics naturally…

Logic in Computer Science · Computer Science 2007-05-23 Victor W. Marek , Miroslaw Truszczynski

Qualification has been recently introduced as a generalization of uncertainty in the field of Logic Programming. In this report we investigate a more expressive language for First-Order Functional Logic Programming with Constraints and…

Programming Languages · Computer Science 2011-01-12 Rafael Caballero , Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

Several formal systems, such as resolution and minimal model semantics, provide a framework for logic programming. In this paper, we will survey the use of structural proof theory as an alternative foundation. Researchers have been using…

Logic in Computer Science · Computer Science 2021-11-02 Dale Miller

Problems in program analysis can be solved by developing novel program semantics and deriving abstractions conventionally. For over thirty years, higher-order program analysis has been sold as a hard problem. Its solutions have required…

Programming Languages · Computer Science 2011-05-03 Sam Tobin-Hochstadt , David Van Horn
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