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Some open questions exist with fluctuation-induced forces between extended dipoles. Conventional intuition derives from large-separation perturbative approximations to dispersion force theory. Here we present a full non-perturbative theory.…

Quantum Physics · Physics 2015-03-02 M. Boström , P. Thiyam , C. Persson , D. F. Parsons , S. Y. Buhmann , I. Brevik , Bo E. Sernelius

We introduce a logic for reasoning about evidence that essentially views evidence as a function from prior beliefs (before making an observation) to posterior beliefs (after making the observation). We provide a sound and complete…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Riccardo Pucella

Probabilistic Soft Logic has been proposed and used in several applications as an efficient way to deal with inconsistency, uncertainty and relational representation. In several applications, this approach has led to an adequate description…

Logic in Computer Science · Computer Science 2016-11-22 Vladik Kreinovich , Chitta Baral

Financial, social, and political factors often prevent the interests of the owners of ML systems and services and their users from being perfectly aligned. ML systems often produce biased information that can influence users to make…

Machine Learning · Computer Science 2026-05-18 Nischal Aryal , Arash Termehchy , Ali Vakilian , Marianne Winslett

We observe that justification logic enjoys a form the strong finite model property (sometimes also called small model property). Thus we obtain decidability proofs for justification logic that do not rely on Post's theorem.

Logic in Computer Science · Computer Science 2015-06-24 Thomas Studer

We present a propositional logic %which can be used to reason about the uncertainty of events, where the uncertainty is modeled by a set of probability measures assigning an interval of probability to each event. We give a sound and…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Riccardo Pucella

Our understanding about things is conceptual. By stating that we reason about objects, it is in fact not the objects but concepts referring to them that we manipulate. Now, so long just as we acknowledge infinitely extending notions such as…

Artificial Intelligence · Computer Science 2015-04-21 Ryuta Arisaka

The paper defends the thesis that analysis of truth problem in the context of interpretations of quantum logic allows to reveal the prospect of elicitation of specifics of the relations between quantum mechanics and quantum logic in a…

History and Philosophy of Physics · Physics 2014-07-11 Sergey Kulikov

Simple type theory is suited as framework for combining classical and non-classical logics. This claim is based on the observation that various prominent logics, including (quantified) multimodal logics and intuitionistic logics, can be…

Logic in Computer Science · Computer Science 2015-03-17 Christoph Benzmueller

In this paper, we discuss necessary and sufficient explanations for formal argumentation - the question whether and why a certain argument can be accepted (or not) under various extension-based semantics. Given a framework with which…

Artificial Intelligence · Computer Science 2020-11-05 AnneMarie Borg , Floris Bex

In this paper, we study logics of dependence on the propositional level. We prove that several interesting propositional logics of dependence, including propositional dependence logic, propositional intuitionistic dependence logic as well…

Logic · Mathematics 2018-12-19 Fan Yang , Jouko Väänänen

An approach to reasoning with default rules where the proportion of exceptions, or more generally the probability of encountering an exception, can be at least roughly assessed is presented. It is based on local uncertainty propagation…

Artificial Intelligence · Computer Science 2013-03-26 Stephane Amarger , Didier Dubois , Henri Prade

In this paper a conditional logic is defined and studied. This conditional logic, Deterministic Bayesian Logic, is constructed as a deterministic counterpart to the (probabilistic) Bayesian conditional. The logic is unrestricted, so that…

Logic in Computer Science · Computer Science 2011-11-09 Frederic Dambreville

In this paper, we study the effect of preferences in abstract argumentation under a claim-centric perspective. Recent work has revealed that semantical and computational properties can change when reasoning is performed on claim-level…

Artificial Intelligence · Computer Science 2022-04-29 Michael Bernreiter , Wolfgang Dvorak , Anna Rapberger , Stefan Woltran

Starting from the observation that rational closure has the undesirable property of being an "all or nothing" mechanism, we here propose a multipreferential semantics, which enriches the preferential semantics underlying rational closure in…

Artificial Intelligence · Computer Science 2018-01-23 Laura Giordano , Valentina Gliozzi

As ontologies proliferate and automatic reasoners become more powerful, the problem of protecting sensitive information becomes more serious. In particular, as facts can be inferred from other facts, it becomes increasingly likely that…

Artificial Intelligence · Computer Science 2009-04-02 Genady Grabarnik , Aaron Kershenbaum

We prove that for the intermediate logics with the disjunction property any basis of admissible rules can be reduced to a basis of admissible m-rules (multiple-conclusion rules), and every basis of admissible m-rules can be reduced to a…

Logic · Mathematics 2015-09-03 Alex Citkin

Possibilistic logic, an extension of first-order logic, deals with uncertainty that can be estimated in terms of possibility and necessity measures. Syntactically, this means that a first-order formula is equipped with a possibility degree…

Artificial Intelligence · Computer Science 2013-02-28 Bernhard Hollunder

We study abstract intermediate justification logics, that is arbitrary intermediate propositional logics extended with a subset of specific axioms of (classical) justification logics. For these, we introduce various semantics by combining…

Logic · Mathematics 2020-08-18 Nicholas Pischke

We introduce a variation on Barthe et al.'s higher-order logic in which formulas are interpreted as predicates over open rather than closed objects. This way, concepts which have an intrinsically functional nature, like continuity,…

Logic in Computer Science · Computer Science 2022-11-22 Ugo Dal Lago , Francesco Gavazzo , Alexis Ghyselen
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