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A fundamental problem in artificial intelligence is that nobody really knows what intelligence is. The problem is especially acute when we need to consider artificial systems which are significantly different to humans. In this paper we…

Artificial Intelligence · Computer Science 2007-05-23 Shane Legg , Marcus Hutter

The inner alignment problem, which asserts whether an arbitrary artificial intelligence (AI) model satisfices a non-trivial alignment function of its outputs given its inputs, is undecidable. This is rigorously proved by Rice's theorem,…

This article presents a formal model demonstrating that genuine autonomy, the ability of a system to self-regulate and pursue objectives, fundamentally implies computational unpredictability from an external perspective. we establish…

Artificial Intelligence · Computer Science 2025-09-17 Poria Azadi

Are intelligent machines really intelligent? Is the underlying philosophical concept of intelligence satisfactory for describing how the present systems work? Is understanding a necessary and sufficient condition for intelligence? If a…

Artificial Intelligence · Computer Science 2022-07-25 Eduardo C. Garrido-Merchán , Carlos Blanco

While various traditions under the 'virtue ethics' umbrella have been studied extensively and advocated by ethicists, it has not been clear that there exists a version of virtue ethics rigorous enough to be a target for machine ethics…

Artificial Intelligence · Computer Science 2019-01-01 Naveen Sundar Govindarajulu , Selmer Bringsjord , Rikhiya Ghosh

Future intelligent autonomous systems (IAS) are inevitably deciding on moral and legal questions, e.g. in self-driving cars, health care or human-machine collaboration. As decision processes in most modern sub-symbolic IAS are hidden, the…

Computers and Society · Computer Science 2020-08-17 Christoph Benzmüller , Bertram Lomfeld

This paper studies the question on whether machines can be rational. It observes the existing reasons why humans are not rational which is due to imperfect and limited information, limited and inconsistent processing power through the brain…

Artificial Intelligence · Computer Science 2018-12-18 Tshilidzi Marwala

We introduce a logical approach to formalizing statistical properties of machine learning. Specifically, we propose a formal model for statistical classification based on a Kripke model, and formalize various notions of classification…

Logic in Computer Science · Computer Science 2023-07-19 Yusuke Kawamoto

This paper constructively proves the existence of an effective procedure generating a computable (total) function that is not contained in any given effectively enumerable set of such functions. The proof implies the existence of machines…

Artificial Intelligence · Computer Science 2010-05-05 Kurt Ammon

Ensuring ethical behavior in Artificial Intelligence (AI) systems amidst their increasing ubiquity and influence is a major concern the world over. The use of formal methods in AI ethics is a possible crucial approach for specifying and…

Artificial Intelligence · Computer Science 2026-03-30 Priya T. V. , Shrisha Rao

Given the fast rise of increasingly autonomous artificial agents and robots, a key acceptability criterion will be the possible moral implications of their actions. In particular, intelligent persuasive systems (systems designed to…

Computers and Society · Computer Science 2014-04-16 Marco Guerini , Fabio Pianesi , Oliviero Stock

As a capability coming from computation, how does AI differ fundamentally from the capabilities delivered by rule-based software program? The paper examines the behavior of artificial intelligence (AI) from engineering points of view to…

Human-Computer Interaction · Computer Science 2025-11-19 Bifei Mao , Lanqing Hong

Machine learning researchers and practitioners steadily enlarge the multitude of successful learning models. They achieve this through in-depth theoretical analyses and experiential heuristics. However, there is no known general-purpose…

Computational Complexity · Computer Science 2023-10-18 Matthias C. Caro

We argue that it is neither necessary nor sufficient for a mathematical proof to have epistemic value that it be "correct", in the sense of formalizable in a formal proof system. We then present a view on the relationship between…

History and Overview · Mathematics 2026-02-16 James Owen Weatherall , Jesse Wolfson

The promise of AI is huge. AI systems have already achieved good enough performance to be in our streets and in our homes. However, they can be brittle and unfair. For society to reap the benefits of AI systems, society needs to be able to…

Artificial Intelligence · Computer Science 2020-02-18 Jeannette M. Wing

In this work, we present a logical formalism for reasoning about quantum systems in finite dimension. Contrary to the usual approach in quantum logic, our formalism is based classical first-order logic, which allows us to use the tools of…

Quantum Physics · Physics 2026-02-19 Olivier Brunet

Verification and validation of agentic behavior have been suggested as important research priorities in efforts to reduce risks associated with the creation of general artificial intelligence (Russell et al 2015). In this paper we question…

Artificial Intelligence · Computer Science 2016-10-12 David J. Jilk

Are minds subject to laws of physics? Are the laws of physics computable? Are conscious thought processes computable? Currently there is little agreement as to what are the right answers to these questions. Penrose goes one step further and…

Quantum Physics · Physics 2010-03-17 C. Calude , D. I. Campbell , K. Svozil , D. Ştefănecu

As artificially intelligent systems become more anthropomorphic and pervasive, and their potential impact on humanity more urgent, discussions about the possibility of machine consciousness have significantly intensified, and it is…

Neurons and Cognition · Quantitative Biology 2024-05-01 Nur Aizaan Anwar , Cosmin Badea

We identify a fundamental incompatibility between the goals of accuracy, trust, and human-level reasoning in artificial intelligence (AI) systems, for strict mathematical definitions of these notions. We define accuracy of a system as the…

Machine Learning · Computer Science 2026-05-11 Rina Panigrahy , Vatsal Sharan
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