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In earlier work, we introduced flexible inference and decision-theoretic metareasoning to address the intractability of normative inference. Here, rather than pursuing the task of computing beliefs and actions with decision models composed…

Artificial Intelligence · Computer Science 2013-02-21 Eric J. Horvitz , Adrian Klein

Over the last decade, there has been growing interest in the use or measures or change in belief for reasoning with uncertainty in artificial intelligence research. An important characteristic of several methodologies that reason with…

Artificial Intelligence · Computer Science 2014-07-29 Eric J. Horvitz , David Heckerman

We present a logical framework that enables us to define a formal theory of computational trust in which this notion is analysed in terms of epistemic attitudes towards the possible objects of trust and in relation to existing evidence in…

Logic in Computer Science · Computer Science 2025-06-19 Francesco A. Genco

We advance a Bayesian concept of 'intrinsic asymptotic universality' taking to its final conclusions previous conceptual and numerical work based upon a concept of a reprogrammability test and an investigation of the complex qualitative…

Computational Complexity · Computer Science 2016-01-14 Hector Zenil , Jürgen Riedel

We give a semantics to iterated update by a preference relation on possible developments. An iterated update is a sequence of formulas, giving (incomplete) information about successive states of the world. A development is a sequence of…

Artificial Intelligence · Computer Science 2007-05-23 Shai Berger , Daniel Lehmann , Karl Schlechta

The classical view of epistemic logic is that an agent knows all the logical consequences of their knowledge base. This assumption of logical omniscience is often unrealistic and makes reasoning computationally intractable. One approach to…

Artificial Intelligence · Computer Science 2018-05-09 Yijia Chen , Abdallah Saffidine , Christoph Schwering

Knowledge Measures (KMs) aim at quantifying the amount of knowledge/information that a knowledge base carries. On the other hand, Belief Change (BC) is the process of changing beliefs (in our case, in terms of contraction, expansion and…

Artificial Intelligence · Computer Science 2024-03-18 Umberto Straccia , Giovanni Casini

The standard ``serial'' (aka ``singleton'') model of belief contraction models the manner in which an agent's corpus of beliefs responds to the removal of a single item of information. One salient extension of this model introduces the idea…

Artificial Intelligence · Computer Science 2025-01-24 Jake Chandler , Richard Booth

The process of evolutionary diversification unfolds in a vast genotypic space of potential outcomes. During the past century there have been remarkable advances in the development of theory for this diversification, and the theory's success…

Populations and Evolution · Quantitative Biology 2011-10-14 Troy Day

Dempster/Shafer (D/S) theory has been advocated as a way of representing incompleteness of evidence in a system's knowledge base. Methods now exist for propagating beliefs through chains of inference. This paper discusses how rules with…

Artificial Intelligence · Computer Science 2013-04-10 Paul K. Black , Kathryn Blackmond Laskey

Several philosophical issues in connection with computer simulations rely on the assumption that results of simulations are trustworthy. Examples of these include the debate on the experimental role of computer simulations \cite{Parker2009,…

Other Computer Science · Computer Science 2019-04-03 Juan M. Durán , Nico Formanek

We propose a method for an agent to revise its incomplete probabilistic beliefs when a new piece of propositional information is observed. In this work, an agent's beliefs are represented by a set of probabilistic formulae -- a belief base.…

Artificial Intelligence · Computer Science 2016-04-08 Gavin Rens , Thomas Meyer , Giovanni Casini

Traditional belief revision frameworks often rely on the principle of minimalism, which advocates minimal changes to existing beliefs. However, research in human cognition suggests that people are inherently driven to seek explanations for…

Artificial Intelligence · Computer Science 2024-08-23 Stylianos Loukas Vasileiou , William Yeoh

One problem to solve in the context of information fusion, decision-making, and other artificial intelligence challenges is to compute justified beliefs based on evidence. In real-life examples, this evidence may be inconsistent,…

Artificial Intelligence · Computer Science 2023-06-07 Daira Pinto Prieto , Ronald de Haan , Aybüke Özgün

Developing a general information processing model in uncertain environments is fundamental for the advancement of explainable artificial intelligence. Dempster-Shafer theory of evidence is a well-known and effective reasoning method for…

Artificial Intelligence · Computer Science 2024-09-02 Qianli Zhou , Tianxiang Zhan , Yong Deng

We introduce a novel class of adjustment rules for a collection of beliefs. This is an extension of Lewis' imaging to absorb probabilistic evidence in generalized settings. Unlike standard tools for belief revision, our proposal may be used…

Artificial Intelligence · Computer Science 2018-08-02 Sabina Marchetti , Alessandro Antonucci

Infinite time Turing machines are extended in several ways to allow for iterated oracle calls. The expressive power of these machines is discussed and in some cases determined.

Logic · Mathematics 2015-10-05 Robert Lubarsky

A general method is given for revising degrees of belief and arriving at consistent decisions about a system of logically constrained issues. In contrast to other works about belief revision, here the constraints are assumed to be fixed.…

Artificial Intelligence · Computer Science 2012-03-09 Rosa Camps , Xavier Mora , Laia Saumell

Probability theory, epistemically interpreted, provides an excellent, if not the best available account of inductive reasoning. This is so because there are general and definite rules for the change of subjective probabilities through…

Artificial Intelligence · Computer Science 2013-04-10 Wolfgang Spohn

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
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