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Despite the fact that beliefs are mental states that cannot be directly observed, humans talk about each others' beliefs on a regular basis, often using rich compositional language to describe what others think and know. What explains this…

Artificial Intelligence · Computer Science 2024-07-10 Lance Ying , Tan Zhi-Xuan , Lionel Wong , Vikash Mansinghka , Joshua Tenenbaum

Epistemic logic is known as a logic that captures the knowledge and beliefs of agents and has undergone various developments since Hintikka (1962). In this paper, we propose a new logic called agent-knowledge logic by taking the product of…

Logic · Mathematics 2025-01-03 Yuki Nishimura

We introduce a modal logic for describing statistical knowledge, which we call statistical epistemic logic. We propose a Kripke model dealing with probability distributions and stochastic assignments, and show a stochastic semantics for the…

Logic in Computer Science · Computer Science 2023-07-19 Yusuke Kawamoto

The concept of reputation is widely used as a measure of trustworthiness based on ratings from members in a community. The adoption of reputation systems, however, relies on their ability to capture the actual trustworthiness of a target.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-25 Boris Skoric , Sebastiaan J. A. de Hoogh , Nicola Zannone

While belief functions may be seen formally as a generalization of probabilistic distributions, the question of the interactions between belief functions and probability is still an issue in practice. This question is difficult, since the…

Logic in Computer Science · Computer Science 2011-10-03 Frederic Dambreville

Evolution of belief systems has always been in focus of cognitive research. In this paper we delineate a new model describing belief systems as a network of statements considered true. Testing the model a small number of parameters enabled…

Artificial Intelligence · Computer Science 2008-07-04 Miklos Antal , Laszlo Balogh

Reasoning abilities of human beings are limited. Logics that treat logical inference for human knowledge should reflect these limited abilities. Logic of awareness is one of those logics. In the logic, what an agent with a limited reasoning…

Multiagent Systems · Computer Science 2024-02-14 Yudai Kubono

This work studies the distributed learning process on a network of agents. Agents make partial observation about an unknown hypothesis and iteratively share their beliefs over a set of possible hypotheses with their neighbors to learn the…

Systems and Control · Electrical Eng. & Systems 2024-11-19 P Raghavendra Rao , Pooja Vyavahare

The main objective of this paper is to define a logic for reasoning about distributed time-stamped claims. Such a logic is interesting for theoretical reasons, i.e., as a logic per se, but also because it has a number of practical…

Logic in Computer Science · Computer Science 2019-07-18 João Rasga , Cristina Sernadas , Erisa Karafili , Luca Viganò

A logic is defined that allows to express information about statistical probabilities and about degrees of belief in specific propositions. By interpreting the two types of probabilities in one common probability space, the semantics given…

Artificial Intelligence · Computer Science 2013-02-28 Manfred Jaeger

Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision…

Artificial Intelligence · Computer Science 2012-07-19 Leila Amgoud , Henri Prade

The reasoning with qualitative uncertainty measures involves comparative statements about events in terms of their likeliness without necessarily assigning an exact numerical value to these events. The paper is divided into two parts. In…

Logic · Mathematics 2024-03-18 Marta Bilkova , Sabine Frittella , Daniil Kozhemiachenko , Ondrej Majer

The intuitive notion of evidence has both semantic and syntactic features. In this paper, we develop an {\em evidence logic} for epistemic agents faced with possibly contradictory evidence from different sources. The logic is based on a…

Logic · Mathematics 2013-07-05 Johan van Benthem , David Fernández-Duque , Eric Pacuit

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

Categorization systems are widely studied in psychology, sociology, and organization theory as information-structuring devices which are critical to decision-making processes. In the present paper, we introduce a sound and complete…

Logic in Computer Science · Computer Science 2017-07-28 Willem Conradie , Sabine Frittella , Alessandra Palmigiano , Michele Piazzai , Apostolos Tzimoulis , Nachoem M. Wijnberg

We introduce a novel language for reasoning about agents' cognitive attitudes of both epistemic and motivational type. We interpret it by means of a computationally grounded semantics using belief bases. Our language includes five types of…

Logic in Computer Science · Computer Science 2024-12-19 Tiago de Lima , Emiliano Lorini , Elise Perrotin , François Schwarzentruber

We present a first-order probabilistic epistemic logic, which allows combining operators of knowledge and probability within a group of possibly infinitely many agents. The proposed framework is the first order extension of the logic of…

Logic in Computer Science · Computer Science 2019-01-23 Siniša Tomović , Zoran Ognjanović , Dragan Doder

We address the problem of integrating information coming from different sources. The information consists of facts that a central server collects and tries to combine using (a) a set of logical rules, i.e. a logic program, and (b) a…

Logic in Computer Science · Computer Science 2016-08-31 Yann Loyer , Nicolas Spyratos , Daniel Stamate

This paper extends the applications of belief-networks to include the revision of belief commitments, i.e., the categorical acceptance of a subset of hypotheses which, together, constitute the most satisfactory explanation of the evidence…

Artificial Intelligence · Computer Science 2013-04-12 Judea Pearl

Logics for resource-bounded agents have been getting more and more attention in recent years since they provide us with more realistic tools for modelling and reasoning about multi-agent systems. While many existing approaches are based on…

Logic in Computer Science · Computer Science 2024-01-25 Vitaliy Dolgorukov , Rustam Galimullin , Maksim Gladyshev