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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

Currently, the variety of expressive extensions and different semantics created for logic programs with negation is diverse and heterogeneous, and there is a lack of comprehensive comparative studies which map out the multitude of…

Artificial Intelligence · Computer Science 2009-09-29 Pascal Hitzler , Sibylle Schwarz

The different semantics that can be assigned to a logic program correspond to different assumptions made concerning the atoms whose logical values cannot be inferred from the rules. Thus, the well founded semantics corresponds to the…

Logic in Computer Science · Computer Science 2007-05-23 Y. Loyer , N. Spyratos , D. Stamate

Logic programming has developed as a rich field, built over a logical substratum whose main constituent is a nonclassical form of negation, sometimes coexisting with classical negation. The field has seen the advent of a number of…

Logic in Computer Science · Computer Science 2011-05-09 Éric A. Martin

Types in logic programming have focused on conservative approximations of program semantics by regular types, on one hand, and on type systems based on a prescriptive semantics defined for typed programs, on the other. In this paper, we…

Logic in Computer Science · Computer Science 2019-09-19 João Barbosa , Mário Florido , Vítor Santos Costa

We apply to logic programming some recently emerging ideas from the field of reduction-based communicating systems, with the aim of giving evidence of the hidden interactions and the coordination mechanisms that rule the operational…

Logic in Computer Science · Computer Science 2007-05-23 Roberto Bruni , Ugo Montanari , Francesca Rossi

Epistemic logic programs constitute an extension of the stable models semantics to deal with new constructs called subjective literals. Informally speaking, a subjective literal allows checking whether some regular literal is true in all…

Artificial Intelligence · Computer Science 2021-07-01 Pedro Cabalar , Jorge Fandinno , Luis Fariñas del Cerro

Partial correctness of imperative or functional programming divides in logic programming into two notions. Correctness means that all answers of the program are compatible with the specification. Completeness means that the program produces…

Logic in Computer Science · Computer Science 2025-08-26 Włodzimierz Drabent

We address the problem of integrating information coming from different sources. The information consists of facts that a central server collects and tries to combine using (a) a set of logical rules, i.e. a logic program, and (b) a…

Logic in Computer Science · Computer Science 2016-08-31 Yann Loyer , Nicolas Spyratos , Daniel Stamate

The idea of using unfolding as a way of computing a program semantics has been applied successfully to logic programs and has shown itself a powerful tool that provides concrete, implementable results, as its outcome is actually source…

Programming Languages · Computer Science 2017-08-29 José María Rey-Poza , Julio Mariño-Carballo

This paper defines an argumentation semantics for extended logic programming and shows its equivalence to the well-founded semantics with explicit negation. We set up a general framework in which we extensively compare this semantics to…

Logic in Computer Science · Computer Science 2007-05-23 Ralf Schweimeier , Michael Schroeder

Much work has been done on extending the well-founded semantics to general disjunctive logic programs and various approaches have been proposed. However, these semantics are different from each other and no consensus is reached about which…

Artificial Intelligence · Computer Science 2007-05-23 Kewen Wang , Lizhu Zhou

Over the past decade a considerable amount of research has been done to expand logic programming languages to handle incomplete information. One such language is the language of epistemic specifications. As is usual with logic programming…

Artificial Intelligence · Computer Science 2007-05-23 Richard Watson

We study fixpoints of operators on lattices. To this end we introduce the notion of an approximation of an operator. We order approximations by means of a precision ordering. We show that each lattice operator O has a unique most precise or…

Artificial Intelligence · Computer Science 2007-05-23 Marc Denecker , Victor W. Marek , Miroslaw Truszczynski

We define a novel, extensional, three-valued semantics for higher-order logic programs with negation. The new semantics is based on interpreting the types of the source language as three-valued Fitting-monotonic functions at all levels of…

Programming Languages · Computer Science 2019-07-25 Angelos Charalambidis , Panos Rondogiannis , Ioanna Symeonidou

An attempt at unifying logic and functional programming is reported. As a starting point, we take the view that "logic programs" are not about logic but constitute inductive definitions of sets and relations. A skeletal language design…

Logic in Computer Science · Computer Science 2016-08-31 Lawrence C. Paulson , Andrew W. Smith

We develop an extensional semantics for higher-order logic programs with negation, generalizing the technique that was introduced in [Bezem99,Bezem01] for positive higher-order programs. In this way we provide an alternative extensional…

Logic in Computer Science · Computer Science 2023-06-22 Panos Rondogiannis , Ioanna Symeonidou

In logic programming, negation can be interpreted in various ways. Probably best known is the concept of "negation as failure", where "$\mathit{not}\, p$" is true if we have no evidence for $p$. On the other hand, strong negation requires…

Logic in Computer Science · Computer Science 2026-05-25 Pascal Kettmann , Hannes Strass , Jesse Heyninck , Jeroen Spaans

Non deterministic applications arise in many domains, including, stochastic optimization, multi-objectives optimization, stochastic planning, contingent stochastic planning, reinforcement learning, reinforcement learning in partially…

Artificial Intelligence · Computer Science 2013-04-29 Emad Saad

In this paper, we present a framework for the semantics and the computation of aggregates in the context of logic programming. In our study, an aggregate can be an arbitrary interpreted second order predicate or function. We define…

Logic in Computer Science · Computer Science 2007-05-23 Nikolay Pelov , Marc Denecker , Maurice Bruynooghe
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