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A fact apparently not observed earlier in the literature of nonmonotonic reasoning is that Reiter, in his default logic paper, did not directly formalize informal defaults. Instead, he translated a default into a certain natural language…

人工智能 · 计算机科学 2011-08-17 Marc Denecker , Victor W. Marek , Miroslaw Truszczynski

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…

计算复杂性 · 计算机科学 2010-09-13 Michael Thomas , Heribert Vollmer

In this paper we make a contribution to the unification of formal models of defeasible reasoning. We present several translations between formal argumentation frameworks and nonmonotonic logics for reasoning with plausible assumptions. More…

人工智能 · 计算机科学 2016-04-04 Jesse Heyninck , Christian Straßer

This paper studies axioms for nonmonotonic consequences from a semantics-based point of view, focusing on a class of mathematical structures for reasoning about partial information without a predefined syntax/logic. This structure is called…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Guo-Qiang Zhang

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…

人工智能 · 计算机科学 2011-11-08 Yisong Wang , Jia-Huai You , Li Yan Yuan , Yi-Dong Shen , Thomas Eiter

In this paper we present a transformation of finite propositional default theories into so-called propositional argumentation systems. This transformation allows to characterize all notions of Reiter's default logic in the framework of…

人工智能 · 计算机科学 2007-05-23 Dritan Berzati , Bernhard Anrig , Juerg Kohlas

There is much interest in providing probabilistic semantics for defaults but most approaches seem to suffer from one of two problems: either they require numbers, a problem defaults were intended to avoid, or they generate peculiar side…

人工智能 · 计算机科学 2013-04-10 Eric Neufeld , David L Poole

The paper presents a constructive fixpoint semantics for autoepistemic logic (AEL). This fixpoint characterizes a unique but possibly three-valued belief set of an autoepistemic theory. It may be three-valued in the sense that for a…

计算机科学中的逻辑 · 计算机科学 2007-05-23 M. Denecker , V. Marek , M. Truszczynski

We extend description logics (DLs) with non-monotonic reasoning features. We start by investigating a notion of defeasible subsumption in the spirit of defeasible conditionals as studied by Kraus, Lehmann and Magidor in the propositional…

人工智能 · 计算机科学 2019-04-17 Katarina Britz , Giovanni Casini , Thomas Meyer , Kody Moodley , Uli Sattler , Ivan Varzinczak

Non-classical generalizations of classical modal logic have been developed in the contexts of constructive mathematics and natural language semantics. In this paper, we discuss a general approach to the semantics of non-classical modal…

逻辑 · 数学 2024-06-25 Wesley H. Holliday

We introduce the operation of possibility qualification and show how. this modal-like operator can be used to represent "typical" or default knowledge in a theory of nonmonotonic reasoning. We investigate the representational power of this…

人工智能 · 计算机科学 2013-04-10 Ronald R. Yager

In default reasoning, usually not all possible ways of resolving conflicts between default rules are acceptable. Criteria expressing acceptable ways of resolving the conflicts may be hardwired in the inference mechanism, for example…

人工智能 · 计算机科学 2011-05-30 J. Rintanen

Default logic can be regarded as a mechanism to represent families of belief sets of a reasoning agent. As such, it is inherently second-order. In this paper, we study the problem of representability of a family of theories as the set of…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Victor Marek , Jan Treur , Miroslaw Truszczynski

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…

人工智能 · 计算机科学 2007-05-23 Richard Booth

Often, we assume that an action is permitted simply because it is not explicitly forbidden; or, similarly, that an action is forbidden simply because it is not explicitly permitted. This kind of assumptions appear, e.g., in autonomous…

计算机科学中的逻辑 · 计算机科学 2019-07-23 Pablo F. Castro , Valentin Cassano , Raul Fervari , Carlos Areces

In the literature, the question about how to axiomatize the transitive logic of false belief is thought of as hard and left as an open problem. In this paper, among other contributions, we deal with this problem. In more details, although…

逻辑 · 数学 2024-04-12 Jie Fan

Reiter's original definition of default logic allows for the application of a default that contradicts a previously applied one. We call failure this condition. The possibility of generating failures has been in the past considered as a…

人工智能 · 计算机科学 2021-04-12 Paolo Liberatore

The paper introduces a basic logic of knowledge and abduction by extending Levesque logic of only-knowing with an abduction modal operator defined via the combination of basic epistemic concepts. The upshot is an alternative approach to…

人工智能 · 计算机科学 2026-01-09 Sanderson Molick , Vaishak Belle

We investigate the problem of reasoning in the propositional fragment of MBNF, the logic of minimal belief and negation as failure introduced by Lifschitz, which can be considered as a unifying framework for several nonmonotonic formalisms,…

人工智能 · 计算机科学 2011-06-02 R. Rosati

We present a new approach to dealing with default information based on the theory of belief functions. Our semantic structures, inspired by Adams' epsilon-semantics, are epsilon-belief assignments, where values committed to focal elements…

人工智能 · 计算机科学 2013-02-21 Salem Benferhat , Alessandro Saffiotti , Philippe Smets
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