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Debugging is commonly understood as finding and fixing the cause of a problem. But what does ``cause'' mean? How can we find causes? How can we prove that a cause is a cause--or even ``the'' cause? This paper defines common terms in…

Software Engineering · Computer Science 2007-05-23 Andreas Zeller

This report seeks to inform policy makers on the nature and the merit of the arguments for and against the concerns associated with a potential technological singularity. Part I describes the lessons learned from our investigation of the…

Artificial Intelligence · Computer Science 2016-02-12 Amnon H. Eden

The ubiquity of systems using artificial intelligence or "AI" has brought increasing attention to how those systems should be regulated. The choice of how to regulate AI systems will require care. AI systems have the potential to synthesize…

Large language models (LLMs) have been able to perform various forms of reasoning tasks in a wide range of scenarios, but are they truly engaging in task abstraction and rule-based reasoning beyond mere memorization? To answer this…

Machine Learning · Computer Science 2025-12-09 Guanyu Chen , Peiyang Wang , Yizhou Jiang , Yuqian Liu , Chujie Zhao , Ying Fang , Tianren Zhang , Feng Chen

Large Language Models (LLMs) have impressive capabilities, but are prone to outputting falsehoods. Recent work has developed techniques for inferring whether a LLM is telling the truth by training probes on the LLM's internal activations.…

Artificial Intelligence · Computer Science 2024-08-20 Samuel Marks , Max Tegmark

Adopting human and large language models (LLM) as judges (a.k.a human- and LLM-as-a-judge) for evaluating the performance of LLMs has recently gained attention. Nonetheless, this approach concurrently introduces potential biases from human…

Computation and Language · Computer Science 2024-09-27 Guiming Hardy Chen , Shunian Chen , Ziche Liu , Feng Jiang , Benyou Wang

Ambiguity is shown in the context of the differential calculus of several variables and with the help of the language of category theory, a way to solve it in its most general form is offered. It is also shown that this new definition is…

Classical Analysis and ODEs · Mathematics 2007-05-23 Andrew E. Chubykalo , Rolando A. Flores , Juan A. Pérez

This paper gives a generative model of the interpretation of formal logic for data-driven logical reasoning. The key idea is to represent the interpretation as likelihood of a formula being true given a model of formal logic. Using the…

Artificial Intelligence · Computer Science 2022-03-01 Hiroyuki Kido

When a language model agrees with a user's false belief, is it failing to detect the error, or noticing and agreeing anyway? We show the latter. Across twelve open-weight models from five labs, spanning small to frontier scale, the same…

Machine Learning · Computer Science 2026-05-05 Manav Pandey

Fairwashing refers to the risk that an unfair black-box model can be explained by a fairer model through post-hoc explanation manipulation. In this paper, we investigate the capability of fairwashing attacks by analyzing their…

Machine Learning · Computer Science 2021-11-04 Ulrich Aïvodji , Hiromi Arai , Sébastien Gambs , Satoshi Hara

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

An Artificially Intelligent system (an AI) has debatable personhood if it's epistemically possible either that the AI is a person or that it falls far short of personhood. Debatable personhood is a likely outcome of AI development and might…

Computers and Society · Computer Science 2023-03-31 Eric Schwitzgebel

Humans can attribute beliefs to others. However, it is unknown to what extent this ability results from an innate biological endowment or from experience accrued through child development, particularly exposure to language describing…

Computation and Language · Computer Science 2023-06-02 Sean Trott , Cameron Jones , Tyler Chang , James Michaelov , Benjamin Bergen

In logic there is a clear concept of what constitutes a proof and what not. A proof is essentially defined as a finite sequence of formulae which are either axioms or derived by proof rules from formulae earlier in the sequence.…

Artificial Intelligence · Computer Science 2010-05-28 Manfred Kerber

Reasoning is central to human intelligence. However, fallacious arguments are common, and some exacerbate problems such as spreading misinformation about climate change. In this paper, we propose the task of logical fallacy detection, and…

Computation and Language · Computer Science 2022-12-13 Zhijing Jin , Abhinav Lalwani , Tejas Vaidhya , Xiaoyu Shen , Yiwen Ding , Zhiheng Lyu , Mrinmaya Sachan , Rada Mihalcea , Bernhard Schölkopf

The ability to automatically generalise (interactive) proofs and use such generalisations to discharge related conjectures is a very hard problem which remains unsolved. Here, we develop a notion of goal types to capture key properties of…

Logic in Computer Science · Computer Science 2013-06-11 Gudmund Grov , Ewen Maclean

Mathematicians occasionally discover interesting truths even when they are playing with mathematical ideas with no thoughts about possible consequences of their actions. This paper describes two specific instances of this phenomenon. The…

History and Overview · Mathematics 2019-08-27 Gizem Karaali

We obtain similar types of conclusions as that of Br\"{u}ck [1] for two differential polynomials which in turn radically improve and generalize several existing results. Moreover, a number of examples have been exhibited to justify the…

Complex Variables · Mathematics 2022-09-15 Abhijit Banerjee , Bikash Chakraborty

Large Language Models (LLMs) can generate content that is as persuasive as human-written text and appear capable of selectively producing deceptive outputs. These capabilities raise concerns about potential misuse and unintended…

Computation and Language · Computer Science 2024-12-24 Cameron R. Jones , Benjamin K. Bergen

Our approach is basically a coherence approach, but we avoid the well-known pitfalls of coherence theories of truth. Consistency is replaced by reliability, which expresses support and attack, and, in principle, every theory (or agent,…

Artificial Intelligence · Computer Science 2018-04-03 Karl Schlechta