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The language of probability is used to define several different types of conditional statements. There are four principal types: subjunctive, material, existential, and feasibility. Two further types of conditionals are defined using the…

逻辑 · 数学 2014-09-29 Joseph W. Norman

The framework of algorithmic knowledge assumes that agents use algorithms to compute the facts they explicitly know. In many cases of interest, a deductive system, rather than a particular algorithm, captures the formal reasoning used by…

人工智能 · 计算机科学 2007-05-23 Riccardo Pucella

In recent years, epistemic logics have been extended with operators K_ax for knowledge of (the value of) a variable x (by an agent a). We study dynamic versions of these logics, enriched with modalities for semi-public data-exchange events…

计算机科学中的逻辑 · 计算机科学 2025-12-01 Alexandru Baltag , Sonja Smets

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…

逻辑 · 数学 2025-12-18 Marta Bílková , Thomas Ferguson , Daniil Kozhemiachenko

We develop a modal logic to capture partial awareness. The logic has three building blocks: objects, properties, and concepts. Properties are unary predicates on objects; concepts are Boolean combinations of properties. We take an agent to…

计算机科学中的逻辑 · 计算机科学 2018-11-15 Joseph Y. Halpern , Evan Piermont

Description logics (DLs) are well-known knowledge representation formalisms focused on the representation of terminological knowledge. Due to their first-order semantics, these languages (in their classical form) are not suitable for…

计算机科学中的逻辑 · 计算机科学 2020-09-29 Leonard Botha , Thomas Meyer , Rafael Peñaloza

By using the abstract structures investigated in the first Part of this article, we develop a semantics for an epistemic language, which expresses sentences like "Alice knows that Bob does not understand that PI is irrational". One is…

Quantum information has suggested new forms of quantum logic, called quantum computational logics, where meanings of sentences are represented by pieces of quantum information (generally, density operators of some Hilbert spaces), which can…

量子物理 · 物理学 2016-02-25 Giuseppe Sergioli , Roberto Leporini

In standard epistemic logic, agent names are usually assumed to be common knowledge implicitly. This is unreasonable for various applications. Inspired by term modal logic and assignment operators in dynamic logic, we introduce a…

人工智能 · 计算机科学 2018-06-26 Yanjing Wang , Jeremy Seligman

A network of agents attempt to learn some unknown state of the world drawn by nature from a finite set. Agents observe private signals conditioned on the true state, and form beliefs about the unknown state accordingly. Each agent may face…

机器学习 · 计算机科学 2015-03-13 Shahin Shahrampour , Mohammad Amin Rahimian , Ali Jadbabaie

The tension between deduction and induction is perhaps the most fundamental issue in areas such as philosophy, cognition and artificial intelligence. In an influential paper, Valiant recognised that the challenge of learning should be…

人工智能 · 计算机科学 2023-06-12 Ionela G. Mocanu , Vaishak Belle , Brendan Juba

Large language models (LLMs) are increasingly deployed in high-stakes settings where good decisions require forming beliefs over the probability of unknown outcomes. However, it is unclear whether LLMs act as if they hold coherent beliefs…

人工智能 · 计算机科学 2026-05-12 Khurram Yamin , Jingjing Tang , Santiago Cortes-Gomez , Amit Sharma , Eric Horvitz , Bryan Wilder

The relation between self awareness and intelligence is an open problem these days. Despite the fact that self awarness is usually related to Emotional Intelligence, this is not the case here. The problem described in this paper is how to…

人工智能 · 计算机科学 2011-06-30 Nicolaie Popescu-Bodorin , Valentina E. Balas

Reasoning about observed effects and their causes is important in multi-agent contexts. While there has been much work on causality from an objective standpoint, causality from the point of view of some particular agent has received much…

人工智能 · 计算机科学 2019-11-01 Shakil M. Khan , Mikhail Soutchanski

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…

人工智能 · 计算机科学 2009-06-24 Joseph Y. Halpern , Leandro Rego

The paper presents an extension of temporal epistemic logic with operators that quantify over strategies. The language also provides a natural way to represent what agents would know were they to be aware of the strategies being used by…

计算机科学中的逻辑 · 计算机科学 2014-04-04 Xiaowei Huang , Ron van der Meyden

Public announcement logic(PAL) is an extension of epistemic logic (EL) with some reduction axioms. In this paper, we propose a cut-free labelled sequent calculus for PAL, which is an extension of that for EL with sequent rules adapted from…

计算机科学中的逻辑 · 计算机科学 2022-10-28 Hao Wu , Hans van Ditmarsch , Jinsheng Chen

In this paper we introduce {\em global and local announcement logic} (GLAL), a dynamic epistemic logic with two distinct announcement operators -- $[\phi]^+_A$ and $[\phi]^-_A$ indexed to a subset $A$ of the set $Ag$ of all agents -- for…

计算机科学中的逻辑 · 计算机科学 2017-07-28 Francesco Belardinelli , Hans van Ditmarsch , Wiebe van der Hoek

The aim of this paper is to investigate the interplay between knowledge shared by a group of agents and its coalition ability. We investigate this relation in the standard context of imperfect information concurrent game. We assume that…

人工智能 · 计算机科学 2016-11-28 Guifei Jiang , Dongmo Zhang , Laurent Perrussel

Without the assumption of complete, shared awareness, it is necessary to consider communication between agents who may entertain different representations of the world. A syntactic (language-based) approach provides powerful tools to…

理论经济学 · 经济学 2026-04-29 Ani Guerdjikova , Evan Piermont , John Quiggin