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a3nm.net | ||
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fredrikj.net
[AI summary] The text discusses the challenges of reliable mathematical software, emphasizing the need for clear distinctions between values and metavalues, rigorous uncertainty propagation, and advanced type systems. It highlights issues in languages like Python and Julia, and proposes a paradigm where programs can be executed with configurable metavalue computation, allowing users to choose between formal proofs, exact results, enclosures, or approximations. The text also touches on the importance of type safety, abstraction, and the limitations of current programming languages in supporting mathematical rigor. |
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www.jeremykun.com
Decidability Versus Efficiency In the early days of computing theory, the important questions were primarily about decidability. What sorts of problems are beyond the power of a Turing machine to solve? As we saw in our last primer on Turing machines, the halting problem is such an example: it can never be solved a finite amount of time by a Turing machine. However, more recently (in the past half-century) the focus of computing theory has shifted away from possibility in favor of determining feasibility. |
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scottaaronson.blog
Way back in 2005, I posed Ten Semi-Grand Challenges for Quantum Computing Theory, on at least half of which I'd say there's been dramatic progress in the 16 years since (most of the challenges were open-ended, so that it's unclear when to count them as "solved"). I posed more open quantum complexity problems in 2010,... |
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blog.darkwolfsolutions.com
April 19, 2023 Episode 5 The Impact of AI on the IT and Cybersecurity Consulting Industry: Adaptation, Challenges and Opportunities Introduction The rapid development and integration of artificial intelligence (AI) technologies have far-reaching implications for various industries. One sector |
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