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Related papers: Multi-Agent Only Knowing

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Levesque introduced the notion of only-knowing to precisely capture the beliefs of a knowledge base. He also showed how only-knowing can be used to formalize non-monotonic behavior within a monotonic logic. Despite its appeal, all attempts…

Artificial Intelligence · Computer Science 2010-10-01 Vaishak Belle , Gerhard Lakemeyer

Common knowledge and only knowing capture two intuitive and natural notions that have proven to be useful in a variety of settings, for example to reason about coordination or agreement between agents, or to analyse the knowledge of…

Logic in Computer Science · Computer Science 2023-06-07 Marcos Cramer , Samuele Pollaci , Bart Bogaerts

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…

Artificial Intelligence · Computer Science 2026-01-09 Sanderson Molick , Vaishak Belle

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

We introduce a new semantics for a multi-agent epistemic operator of knowing how, based on an indistinguishability relation between plans. Our proposal is, arguably, closer to the standard presentation of knowing that modalities in…

Logic in Computer Science · Computer Science 2021-06-23 Carlos Areces , Raul Fervari , Andrés R. Saravia , Fernando R. Velázquez-Quesada

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

In this paper, we propose a single-agent modal logic framework for reasoning about goal-direct "knowing how" based on ideas from linguistics, philosophy, modal logic and automated planning. We first define a modal language to express "I…

Artificial Intelligence · Computer Science 2015-07-10 Yanjing Wang

The semantic framework for the modal logic of knowledge due to Halpern and Moses provides a way to ascribe knowledge to agents in distributed and multi-agent systems. In this paper we study two special cases of this framework: full systems…

Logic in Computer Science · Computer Science 2007-05-23 A. R. Lomuscio , R. van der Meyden , M. D. Ryan

Though a lot of work in multi-agent systems is focused on reasoning about knowledge and beliefs of artificial agents, an explicit representation and reasoning about the presence/absence of agents, especially in the scenarios where agents…

Multiagent Systems · Computer Science 2020-01-23 Shikha Singh , Deepak Khemani

In this paper, we propose a single-agent logic of goal-directed knowing how extending the standard epistemic logic of knowing that with a new knowing how operator. The semantics of the new operator is based on the idea that knowing how to…

Artificial Intelligence · Computer Science 2017-05-16 Raul Fervari , Andreas Herzig , Yanjun Li , Yanjing Wang

In this paper, we investigate knowledge reasoning within a simple framework called knowledge structure. We use variable forgetting as a basic operation for one agent to reason about its own or other agents\ knowledge. In our framework, two…

Logic in Computer Science · Computer Science 2014-01-16 Kaile Su , Abdul Sattar , Guanfeng Lv , Yan Zhang

The aim of this study is to formally express awareness for modeling practical agent communication. The notion of awareness has been proposed as a set of propositions for each agent, to which he/she pays attention, and has contributed to…

Multiagent Systems · Computer Science 2024-02-13 Yudai Kubono , Teeradaj Racharak , Satoshi Tojo

Justification logics are epistemic logics that explicitly include justifications for the agents' knowledge. We develop a multi-agent justification logic with evidence terms for individual agents as well as for common knowledge. We define a…

Logic in Computer Science · Computer Science 2023-08-01 Samuel Bucheli , Roman Kuznets , Thomas Studer

Sound and complete axiomatizations are provided for a number of different logics involving modalities for knowledge and time. These logics arise from different choices for various parameters. All the logics considered involve the discrete…

Logic in Computer Science · Computer Science 2007-05-23 Joseph Y. Halpern , Ron van der Meyden , Moshe Y. Vardi

We investigate a class of first-order temporal-epistemic logics for reasoning about multi-agent systems. We encode typical properties of systems including perfect recall, synchronicity, no learning, and having a unique initial state in…

Multiagent Systems · Computer Science 2014-01-25 Francesco Belardinelli , Alessio Lomuscio

We introduce a novel semantics for a multi-agent epistemic operator of knowing how, based on an indistinguishability relation between plans. Our proposal is, arguably, closer to the standard presentation of knowing that modalities in…

Logic in Computer Science · Computer Science 2023-04-04 Carlos Areces , Raul Fervari , Andrés R. Saravia , Fernando R. Velázquez-Quesada

Complete axiomatizations and exponential-time decision procedures are provided for reasoning about knowledge and common knowledge when there are infinitely many agents. The results show that reasoning about knowledge and common knowledge…

Logic in Computer Science · Computer Science 2007-05-23 Joseph Y. Halpern , Richard A. Shore

We propose a multi-agent epistemic logic capturing reasoning with degrees of plausibility that agents can assign to a given statement, with $1$ interpreted as "entirely plausible for the agent" and $0$ as "completely implausible" (i.e., the…

Logic · Mathematics 2025-12-18 Marta Bílková , Thomas Ferguson , Daniil Kozhemiachenko

The Logic of Proofs, LP, and its successor, Justification Logic, is a refinement of the modal logic approach to epistemology in which proofs/justifications are taken into account. In 2000 Kuznets showed that satisfiability for LP is in the…

Logic in Computer Science · Computer Science 2014-04-29 Antonis Achilleos

In earlier work, we proposed a logic that extends the Logic of General Awareness of Fagin and Halpern [1988] by allowing quantification over primitive propositions. This makes it possible to express the fact that an agent knows that there…

Artificial Intelligence · Computer Science 2009-06-24 Joseph Y. Halpern , Leandro Rego
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