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Large language models (LLMs) are trained on vast amounts of text from the internet, which contains both factual and misleading information about the world. While unintuitive from a classic view of LMs, recent work has shown that the truth…

Computation and Language · Computer Science 2024-02-07 Nitish Joshi , Javier Rando , Abulhair Saparov , Najoung Kim , He He

In standard epistemic logic, knowing that p is the same as knowing that p is true, but it does not say anything about understanding p or knowing its meaning. In this paper, we present a conservative extension of Public Announcement Logic…

Logic in Computer Science · Computer Science 2019-07-23 Malvin Gattinger , Yanjing Wang

Large language models (LLMs) can "lie", which we define as outputting false statements despite "knowing" the truth in a demonstrable sense. LLMs might "lie", for example, when instructed to output misinformation. Here, we develop a simple…

Computation and Language · Computer Science 2023-09-28 Lorenzo Pacchiardi , Alex J. Chan , Sören Mindermann , Ilan Moscovitz , Alexa Y. Pan , Yarin Gal , Owain Evans , Jan Brauner

Common sense suggests that when individuals explain why they believe something, we can arrive at more accurate conclusions than when they simply state what they believe. Yet, there is no known mechanism that provides incentives to elicit…

Computer Science and Game Theory · Computer Science 2025-02-20 Siddarth Srinivasan , Ezra Karger , Michiel Bakker , Yiling Chen

Neural language models (LMs) can be used to evaluate the truth of factual statements in two ways: they can be either queried for statement probabilities, or probed for internal representations of truthfulness. Past work has found that these…

Computation and Language · Computer Science 2023-12-08 Kevin Liu , Stephen Casper , Dylan Hadfield-Menell , Jacob Andreas

Deceptive agents are a challenge for the safety, trustworthiness, and cooperation of AI systems. We focus on the problem that agents might deceive in order to achieve their goals (for instance, in our experiments with language models, the…

Artificial Intelligence · Computer Science 2023-12-05 Francis Rhys Ward , Francesco Belardinelli , Francesca Toni , Tom Everitt

Traditionally, an agent's beliefs would come from what the agent can see, hear, or sense. In the modern world, beliefs are often based on the data available to the agents. In this work, we investigate a dynamic logic of such beliefs that…

Logic in Computer Science · Computer Science 2025-11-04 Junli Jiang , Pavel Naumov , Wenxuan Zhang

We study an extension of the voter model in which each agent is endowed with an innate preference for one of two states that we term as "truth" or "falsehood". Due to interactions with neighbors, an agent that innately prefers truth can be…

Physics and Society · Physics 2011-05-03 Naoki Masuda , S. Redner

I outline a new theory of truth that resolves the classical and constructive versions of the liar paradox. The theory features a provably consistent axiomatization of a global self-applicative truth predicate. Truth is defined using…

Logic · Mathematics 2025-07-14 Nik Weaver

Agents' judgment depends on perception and previous knowledge. Assuming that previous knowledge depends on perception, we can say that judgment depends on perception. So, if judgment depends on perception, can agents judge that they have…

Neurons and Cognition · Quantitative Biology 2012-02-21 Ahmed M. Mahran

The speech-to-song illusion is a robust psychological phenomenon whereby a spoken sentence sounds increasingly more musical as it is repeated. Despite decades of research, a complete formal account of this transformation is still lacking,…

Neurons and Cognition · Quantitative Biology 2024-02-13 Raja Marjieh , Pol van Rijn , Ilia Sucholutsky , Harin Lee , Thomas L. Griffiths , Nori Jacoby

We study the structure of the partial order induced by the definability relation on definitions of truth for the language of arithmetic. Formally, a definition of truth is any sentence $\alpha$ which extends a weak arithmetical theory…

Logic · Mathematics 2023-11-23 Piotr Gruza , Mateusz Łełyk

We produce a connected real Lie group that, as a first order structure in the group language, interprets the real field expanded with a predicate for the integers. Moreover, the domain of our interpretation is definable in the group.

Logic · Mathematics 2021-08-20 Annalisa Conversano , Marcello Mamino

In many contexts, lying -- the use of verbal falsehoods to deceive -- is harmful. While lying has traditionally been a human affair, AI systems that make sophisticated verbal statements are becoming increasingly prevalent. This raises the…

Computers and Society · Computer Science 2021-10-14 Owain Evans , Owen Cotton-Barratt , Lukas Finnveden , Adam Bales , Avital Balwit , Peter Wills , Luca Righetti , William Saunders

A definition of what counts as an explanation of mathematical statement, and when one explanation is better than another, is given. Since all mathematical facts must be true in all causal models, and hence known by an agent, mathematical…

Artificial Intelligence · Computer Science 2024-02-16 Joseph Y. Halpern

Truthfulness (adherence to factual accuracy) and utility (satisfying human needs and instructions) are both fundamental aspects of Large Language Models, yet these goals often conflict (e.g., sell a car with known flaws), which makes it…

Artificial Intelligence · Computer Science 2025-04-29 Zhe Su , Xuhui Zhou , Sanketh Rangreji , Anubha Kabra , Julia Mendelsohn , Faeze Brahman , Maarten Sap

Defining various dishonest notions in a formal way is a key step to enable intelligent agents to act in untrustworthy environments. This review evaluates the literature for this topic by looking at formal definitions based on modal logic as…

Logic in Computer Science · Computer Science 2016-12-30 Toni Heidenreich

This paper studies knowledge representation in multi-agent environment. We investigate technique for computation truth-values of statements based at a new temporal, agent's-knowledge logic TL. A logical language, mathematical symbolic…

Logic in Computer Science · Computer Science 2014-06-23 Maybin Muyeba , Vladimir Rybakov

Automated fact checking systems have been proposed that quickly provide veracity prediction at scale to mitigate the negative influence of fake news on people and on public opinion. However, most studies focus on veracity classifiers of…

Computation and Language · Computer Science 2022-06-15 Shih-Chieh Dai , Yi-Li Hsu , Aiping Xiong , Lun-Wei Ku

Dynamic epistemic logics which model abilities of agents to make various announcements and influence each other's knowledge have been studied extensively in recent years. Two notable examples of such logics are Group Announcement Logic and…

Logic in Computer Science · Computer Science 2018-10-08 Rustam Galimullin , Natasha Alechina