Introduction: The Premise That 'It Cannot Be Solved Quickly' Has Been ShakenOn October 26, 2026, OpenAI announced that its ...

Truth be told, I dabbled a bit in computational complexity theory back in my student days, and looking back on it now, I can ...

Exponential Time Hypothesis disproof: two rival AI systems at OpenAI and Anthropic independently published machine-verified ...

OpenAI and Anthropic have released AI-generated mathematical proofs that challenge the Exponential Time Hypothesis (ETH), a ...

OpenAI announced that its internal models have produced three major results in harmonic analysis, computational complexity, ...

Computational complexity theory examines the intrinsic difficulty of algorithmic problems by classifying them into hierarchies according to the resources—typically time and space—required for their ...

OpenAI said in an announcement on October 26, 2026, that its internal models produced three research results in mathematics, ...

Computability theory establishes which problems can in principle be solved by mechanical procedures, formalised by the Turing machine model and its equivalents. It draws a firm boundary between ...

The historical pursuit of creating intelligent machines has culminated in the modern era of artificial intelligence. However, the efficacy of AI applications is contingent upon a nuanced understanding ...