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Tarski's undefinability theorem states that a formal system based on conventional predicate logic (PL) cannot talk about its own truth predicate. PL is, however, not the only formal language imaginable. In this paper, it will be shown that…

逻辑 · 数学 2022-12-23 David Sikter

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

We consider the relation between knowledge and certainty, where a fact is known if it is true at all worlds an agent considers possible and is certain if it holds with probability 1. We identify certainty with probabilistic belief. We show…

人工智能 · 计算机科学 2013-04-08 Joseph Y. Halpern

Explanations of neural models aim to reveal a model's decision-making process for its predictions. However, recent work shows that current methods giving explanations such as saliency maps or counterfactuals can be misleading, as they are…

The generation of comprehensible explanations is an essential feature of modern artificial intelligence systems. In this work, we consider probabilistic logic programming, an extension of logic programming which can be useful to model…

人工智能 · 计算机科学 2023-08-17 Germán Vidal

The honesty of large language models (LLMs) is a critical alignment challenge, especially as advanced systems with chain-of-thought (CoT) reasoning may strategically deceive humans. Unlike traditional honesty issues on LLMs, which could be…

人工智能 · 计算机科学 2025-06-06 Kai Wang , Yihao Zhang , Meng Sun

We develop a logical framework for reasoning about knowledge and evidence in which the agent may be uncertain about how to interpret their evidence. Rather than representing an evidential state as a fixed subset of the state space, our…

计算机科学中的逻辑 · 计算机科学 2019-07-23 Adam Bjorndahl , Aybüke Özgün

A "statistician" takes an action on behalf of an agent, based on the agent's self-reported personal data and a sample involving other people. The action that he takes is an estimated function of the agent's report. The estimation procedure…

理论经济学 · 经济学 2018-10-09 Kfir Eliaz , Ran Spiegler

While existing evaluations of large language models (LLMs) measure deception rates, the underlying conditions that give rise to deceptive behavior are poorly understood. We investigate this question using a novel dataset of realistic moral…

Empirical science needs to be based on facts and claims that can be reproduced. This calls for replicating the studies that proclaim the claims, but practice in most fields still fails to implement this idea. When such studies emerged in…

其他统计学 · 统计学 2025-08-27 Werner A. Stahel

A model of knowledge representation is described in which propositional facts and the relationships among them can be supported by other facts. The set of knowledge which can be supported is called the set of cognitive units, each having…

人工智能 · 计算机科学 2013-04-12 A. Julian Craddock , Roger A. Browse

Quantification over public announcements shifts the perspective from reasoning strictly about the results of a particular announcement to reasoning about the existence of an announcement that achieves some certain epistemic goal. Depending…

计算机科学中的逻辑 · 计算机科学 2021-06-23 Hans van Ditmarsch , Tim French , Rustam Galimullin

Decision support is the science and associated practice that consist in providing recommendations to decision makers facing problems, based on available theoretical knowledge and empirical data. Although this activity is often seen as being…

计算机与社会 · 计算机科学 2022-01-31 Yves Meinard , Alexis Tsoukiàs

Large Language Models (LLMs) have made significant advances in natural language processing, but their underlying mechanisms are often misunderstood. Despite exhibiting coherent answers and apparent reasoning behaviors, LLMs rely on…

计算与语言 · 计算机科学 2024-08-05 Bo Zhou , Daniel Geißler , Paul Lukowicz

Our aim is to design mechanisms that motivate all agents to reveal their predictions truthfully and promptly. For myopic agents, proper scoring rules induce truthfulness. However, as has been described in the literature, when agents take…

计算机科学与博弈论 · 计算机科学 2019-12-05 Amir Ban

People in the real world often possess vague knowledge of future payoffs, for which quantification is not feasible or desirable. We argue that language, with differing ability to convey vague information, plays an important but less-known…

综合经济学 · 经济学 2025-05-27 Kerry Xiao , Amy Zang

In this paper we propose a logic-based, framework inspired by artificial intelligence, but scaled down for practical database and programming applications. Computation in the framework is viewed as the task of generating a sequence of state…

计算机科学中的逻辑 · 计算机科学 2014-04-25 Robert Kowalski , Fariba Sadri

Reading and evaluating product reviews is central to how most people decide what to buy and consume online. However, the recent emergence of Large Language Models and Generative Artificial Intelligence now means writing fraudulent or fake…

When considering a specific event, news that accurately reflects the ground truth is deemed as real information, while news that deviates from the ground truth is classified as false information. False information often spreads fast due to…

物理与社会 · 物理学 2024-02-07 Yu Zhang , Fanyuan Meng , Vallarano Nicolò , Claudio J. Tessone

Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly. Expressive…

计算机科学中的逻辑 · 计算机科学 2012-09-13 Marcus Hutter , John W. Lloyd , Kee Siong Ng , William T. B. Uther