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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

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

In this paper we explore a class of belief update operators, in which the definition of the operator is compositional with respect to the sentence to be added. The goal is to provide an update operator that is intuitive, in that its…

Artificial Intelligence · Computer Science 2014-01-16 James Delgrande , Yi Jin , Francis Jeffry Pelletier

Computational interpretations of linear logic allow static control of memory resources: the data produced by the program are endowed through its type with attributes that determine its life cycle. This has promoted numerous investigations…

Programming Languages · Computer Science 2024-08-23 Hector Gramaglia

Existing methods for dealing with knowledge updates differ greatly depending on the underlying knowledge representation formalism. When Classical Logic is used, updates are typically performed by manipulating the knowledge base on the…

Artificial Intelligence · Computer Science 2017-06-05 Martin Slota , Joao 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

The Weak Completion Semantics (WCS) is a computational cognitive theory that has shown to be successful in modeling episodes of human reasoning. As the WCS is a recently developed logic programming approach, this paper investigates the…

Artificial Intelligence · Computer Science 2019-10-17 Emmanuelle-Anna Dietz Saldanha , Jorge Fandinno

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

We address the problem of belief change in (nonmonotonic) logic programming under answer set semantics. Unlike previous approaches to belief change in logic programming, our formal techniques are analogous to those of distance-based belief…

Artificial Intelligence · Computer Science 2009-12-31 James Delgrande , Torsten Schaub , Hans Tompits , Stefan Woltran

Non-monotonic logic programming is the basis for a declarative problem solving paradigm known as answer set programming (ASP). Departing from the seminal definition by Gelfond and Lifschitz in 1988 for simple normal logic programs, various…

Artificial Intelligence · Computer Science 2026-05-08 Yi-Dong Shen , Thomas Eiter

Weakly-sticky (WS) Datalog+/- is an expressive member of the family of Datalog+/- programs that is based on the syntactic notions of stickiness and weak-acyclicity. Query answering over the WS programs has been investigated, but there is…

Databases · Computer Science 2016-07-12 Mostafa Milani , Leopoldo Bertossi

As ontologies and description logics (DLs) reach out to a broader audience, several reasoning services are developed in this context. Belief revision is one of them, of prime importance when knowledge is prone to change and inconsistency.…

Artificial Intelligence · Computer Science 2015-02-27 Marc Aiguier , Jamal Atif , Isabelle Bloch , Céline Hudelot

Several new algorithms for deciding emptiness of Boolean combinations of regular languages and of languages of alternating automata (AFA) have been proposed recently, especially in the context of analysing regular expressions and in string…

Formal Languages and Automata Theory · Computer Science 2023-04-12 Tomáš Fiedor , Lukáš Holík , Martin Hruška , Adam Rogalewicz , Juraj Síč , Pavol Vargovčík

Recently, several approaches to updating knowledge bases modeled as extended logic programs have been introduced, ranging from basic methods to incorporate (sequences of) sets of rules into a logic program, to more elaborate methods which…

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

Most approaches for repairing description logic (DL) ontologies aim at changing the axioms as little as possible while solving inconsistencies, incoherences and other types of undesired behaviours. As in Belief Change, these issues are…

Logic in Computer Science · Computer Science 2022-02-22 Jandson S. Ribeiro , Ricardo Guimarães , Ana Ozaki

Verification of properties expressed as-regular languages such as LTL can benefit hugely from stutter-insensitivity, using a diverse set of reduction strategies. However properties that are not stutter-insensitive, for instance due to the…

Computation and Language · Computer Science 2023-01-09 Emmanuel Paviot-Adet , Denis Poitrenaud , Etienne Renault , Yann Thierry-Mieg

Description logic programs (dl-programs) under the answer set semantics formulated by Eiter {\em et al.} have been considered as a prominent formalism for integrating rules and ontology knowledge bases. A question of interest has been…

Artificial Intelligence · Computer Science 2011-11-08 Yisong Wang , Jia-Huai You , Li Yan Yuan , Yi-Dong Shen , Thomas Eiter

Boolean Networks (BNs) describe the time evolution of binary states using logic functions on the nodes of a network. They are fundamental models for complex discrete dynamical systems, with applications in various areas of science and…

Discrete Mathematics · Computer Science 2025-03-26 Van-Giang Trinh , Samuel Pastva , Jordan Rozum , Kyu Hyong Park , Réka Albert

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

I introduce renaming-enriched sets (rensets for short), which are algebraic structures axiomatizing fundamental properties of renaming (also known as variable-for-variable substitution) on syntax with bindings. Rensets compare favorably in…

Logic in Computer Science · Computer Science 2022-05-24 Andrei Popescu
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