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In this paper, we study three applications of recursion to problems in coding and random permutations. First, we consider locally recoverable codes with partial locality and use recursion to estimate the minimum distance of such codes. Next…

Combinatorics · Mathematics 2020-12-22 Ghurumuruhan Ganesan

Logical frameworks and meta-languages form a common substrate for representing, implementing and reasoning about a wide variety of deductive systems of interest in logic and computer science. Their design, implementation and their use in…

Logic in Computer Science · Computer Science 2021-07-16 Elaine Pimentel , Enrico Tassi

We consider a simple extension of logic programming where variables may range over goals and goals may be arguments of predicates. In this language we can write logic programs which use goals as data. We give practical evidence that, by…

Programming Languages · Computer Science 2007-05-23 Alberto Pettorossi , Maurizio Proietti

Inductive logic programming, or relational learning, is a powerful paradigm for machine learning or data mining. However, in order for ILP to become practically useful, the efficiency of ILP systems must improve substantially. To this end,…

Artificial Intelligence · Computer Science 2011-06-10 H. Blockeel , L. Dehaspe , B. Demoen , G. Janssens , J. Ramon , H. Vandecasteele

Logical frameworks and meta-languages form a common substrate for representing, implementing and reasoning about a wide variety of deductive systems of interest in logic and computer science. Their design, implementation and their use in…

Logic in Computer Science · Computer Science 2023-11-17 Alberto Ciaffaglione , Carlos Olarte

Multi-adjoint logic programming is a general framework with interesting features, which involves other positive logic programming frameworks such as monotonic and residuated logic programming, generalized annotated logic programs, fuzzy…

Logic in Computer Science · Computer Science 2024-09-25 M. Eugenia Cornejo , David Lobo , Jesús Medina

We introduce operational semantics into games. And based on the operational semantics, we establish a full algebra of games, including basic algebra of games, algebra of concurrent games, recursion and abstraction. The algebra can be used…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

The generation of comprehensible explanations is an essential feature of modern artificial intelligence systems. In this work, we consider probabilistic logic programming, an extension of logic programming which can be useful to model…

Artificial Intelligence · Computer Science 2023-08-17 Germán Vidal

In everyday life it happens that a person has to reason about what other people think and how they behave, in order to achieve his goals. In other words, an individual may be required to adapt his behaviour by reasoning about the others'…

Artificial Intelligence · Computer Science 2008-12-18 Francesco Buccafurri , Gianluca Caminiti

Splitting a logic program allows us to reduce the task of computing its stable models to similar tasks for its subprograms. This can be used to increase solving performance and prove program correctness. We generalize the conditions under…

Artificial Intelligence · Computer Science 2025-03-30 Jorge Fandinno , Yuliya Lierler

This report outlines an approach to learning generative models from data. We express models as probabilistic programs, which allows us to capture abstract patterns within the examples. By choosing our language for programs to be an…

Artificial Intelligence · Computer Science 2011-10-27 Irvin Hwang , Andreas Stuhlmüller , Noah D. Goodman

The concept of functionality oriented programming is proposed, and some of its aspects are discussed, such as: (1) implementation independent basic types and generic collection types; (2) syntax requirements and recommendations for…

Programming Languages · Computer Science 2011-02-21 Chengpu Wang

Complex reasoning problems are most clearly and easily specified using logical rules, but require recursive rules with aggregation such as count and sum for practical applications. Unfortunately, the meaning of such rules has been a…

Databases · Computer Science 2023-08-29 Yanhong A. Liu , Scott D. Stoller

Learning from demonstrations is a common way for users to teach robots, but it is prone to spurious feature correlations. Recent work constructs state abstractions, i.e. visual representations containing task-relevant features, from…

We study the framework of abductive logic programming extended with integrity constraints. For this framework, we introduce a new measure of the simplicity of an explanation based on its degree of \emph{arbitrariness}: the more arbitrary…

Logic in Computer Science · Computer Science 2020-02-19 Luciano Caroprese , Irina Trubitsyna , Miroslaw Truszczynski , Ester Zumpano

In this paper, we present two alternative approaches to defining answer sets for logic programs with arbitrary types of abstract constraint atoms (c-atoms). These approaches generalize the fixpoint-based and the level mapping based answer…

Artificial Intelligence · Computer Science 2011-10-12 E. Pontelli , T. C. Son , P. H. Tu

Coinductive definitions, such as that of an infinite stream, may often be described by elegant logic programs, but ones for which SLD-refutation is of no value as SLD-derivations fall into infinite loops. Such definitions give rise to…

Programming Languages · Computer Science 2013-12-24 Ekaterina Komendantskaya , John Power , Martin Schmidt

The possibility of translating logic programs into functional ones has long been a subject of investigation. Common to the many approaches is that the original logic program, in order to be translated, needs to be well-moded and this has…

Programming Languages · Computer Science 2007-05-23 S. Etalle , J. Mountjoy

The strength of a dynamic language is also its weakness: run-time flexibility comes at the cost of compile-time predictability. Many of the hallmarks of dynamic languages such as closures, continuations, various forms of reflection, and a…

Programming Languages · Computer Science 2014-08-18 J. Ian Johnson , David Van Horn

Description logics are knowledge representation languages that have been designed to strike a balance between expressivity and computational tractability. Many different description logics have been developed, and numerous computational…

Logic in Computer Science · Computer Science 2018-08-14 Ronald de Haan