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Belief revision has been studied mainly with respect to background logics that are monotonic in character. In this paper we study belief revision when the underlying logic is non-monotonic instead--an inherently interesting problem that is…

Artificial Intelligence · Computer Science 2016-04-05 Zhiqiang Zhuang , James Delgrande , Abhaya Nayak , Abdul Sattar

Over the last couple of decades, there has been a considerable effort devoted to the problem of updating logic programs under the stable model semantics (a.k.a. answer-set programs) or, in other words, the problem of characterising the…

Artificial Intelligence · Computer Science 2022-02-22 João Leite , Martin Slota

Logic programs under the stable model semantics, or answer-set programs, provide an expressive rule-based knowledge representation framework, featuring a formal, declarative and well-understood semantics. However, handling the evolution of…

Artificial Intelligence · Computer Science 2020-02-19 Martin Slota , João Leite

Recent methods have adapted the well-established AGM and belief base frameworks for belief change to cover belief revision in logic programs. In this study here, we present two new sets of belief change operators for logic programs. They…

Artificial Intelligence · Computer Science 2017-03-20 Sebastian Binnewies , Zhiqiang Zhuang , Kewen Wang , Bela Stantic

An approach to the revision of logic programs under the answer set semantics is presented. For programs P and Q, the goal is to determine the answer sets that correspond to the revision of P by Q, denoted P * Q. A fundamental principle of…

Artificial Intelligence · Computer Science 2010-07-29 James P. Delgrande

A belief base revision is developed. The belief base is represented using Unified Answer Set Programs which is capable of representing imprecise and uncertain information and perform nonomonotonic reasoning with them. The base revision…

Artificial Intelligence · Computer Science 2020-11-24 Kumar Sankar Ray , Sandip Paul , Diganta Saha

We address the problem of belief revision of logic programs, i.e., how to incorporate to a logic program P a new logic program Q. Based on the structure of SE interpretations, Delgrande et al. adapted the well-known AGM framework to logic…

Artificial Intelligence · Computer Science 2020-02-19 Nicolas Schwind , Katsumi Inoue

We consider an approach to update nonmonotonic knowledge bases represented as extended logic programs under answer set semantics. New information is incorporated into the current knowledge base subject to a causal rejection principle…

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

Rule-based reasoning is an essential part of human intelligence prominently formalized in artificial intelligence research via logic programs. Describing complex objects as the composition of elementary ones is a common strategy in computer…

Artificial Intelligence · Computer Science 2023-12-15 Christian Antic

In recent research on non-monotonic logic programming, repeatedly strong equivalence of logic programs P and Q has been considered, which holds if the programs P union R and Q union R have the same answer sets for any other program R. This…

Artificial Intelligence · Computer Science 2007-05-23 Thomas Eiter , Michael Fink , Stefan Woltran

As software systems are getting increasingly connected, there is a need for equipping nonmonotonic logic programs with access to external sources that are possibly remote and may contain information in heterogeneous formats. To cater for…

Artificial Intelligence · Computer Science 2020-02-19 Thomas Eiter , Michael Fink , Giovambattista Ianni , Thomas Krennwallner , Christoph Redl , Peter Schüller

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

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 connections between nonmonotonic reasoning and belief revision are well-known. A central problem in the area of nonmonotonic reasoning is the problem of default entailment, i.e., when should an item of default information representing…

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

Revision programming is a formalism to describe and enforce updates of belief sets and databases. That formalism was extended by Fitting who assigned annotations to revision atoms. Annotations provide a way to quantify the confidence…

Artificial Intelligence · Computer Science 2007-05-23 Victor Marek , Inna Pivkina , Miroslaw Truszczynski

Belief integration methods are often aimed at deriving a single and consistent knowledge base that retains as much as possible of the knowledge bases to integrate. The rationale behind this approach is the minimal change principle: the…

Artificial Intelligence · Computer Science 2007-05-23 Paolo Liberatore

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

The paper presents two equivalent definitions of answer sets for logic programs with aggregates. These definitions build on the notion of unfolding of aggregates, and they are aimed at creating methodologies to translate logic programs with…

Software Engineering · Computer Science 2007-05-23 Tran Cao Son , Enrico Pontelli , Islam Elkabani

Reconfiguration is an important activity for companies selling configurable products or services which have a long life time. However, identification of a set of required changes in a legacy configuration is a hard problem, since even small…

Artificial Intelligence · Computer Science 2011-09-02 Gerhard Friedrich , Anna Ryabokon , Andreas A. Falkner , Alois Haselböck , Gottfried Schenner , Herwig Schreiner

Over the past few decades, non-monotonic reasoning has developed to be one of the most important topics in computational logic and artificial intelligence. Different ways to introduce non-monotonic aspects to classical logic have been…

Computational Complexity · Computer Science 2010-09-13 Michael Thomas , Heribert Vollmer
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