Theorem proving is a fundamental aspect of mathematics, spanning from informal reasoning in natural language to rigorous derivations in formal systems. In recent years, the advancement of deep ...

Abstract: Communication protocol security is becoming more important in today's interconnected society because of the increasing sophistication of hacking methods to compromise data privacy, ...

With its playlist chatbot, Spotify says you could ‘curate your next Discover Weekly, exactly the way you want it.’ With its playlist chatbot, Spotify says you could ‘curate your next Discover Weekly ...

Mathematicians have long relied on a theorem that appears undeniably true, yet every attempt to formally prove it collapses. The contradiction has puzzled researchers for decades, raising questions ...

ABSTRACT: This paper presents constitutive theories for linear micromorphic microcontinuum thermoviscoelastic solids in which elasticity and dissipation are considered for the microconstituents, the ...

Researchers have mathematically proven that the universe cannot be a computer simulation. Reality, they argue, is rooted in a “non-algorithmic understanding” that no algorithm could ever replicate.

They prove something far more profound: the universe is built on a type of understanding that exists beyond the reach of any algorithm. "It has been suggested that the universe could be simulated. If ...

Lithology identification plays a pivotal role in logging interpretation during drilling operations, directly influencing drilling decisions and efficiency. Conventional lithology identification ...

In September, McKellar joined an episode of the podcast “Hey Dude… The 90s Called!” When asked about the mathematical physics theorem she co-authored, she sheepishly said, “I mean, it’s only famous ...

block-insertion-theorem is a reproducible reference implementation of a combinatorial result about block insertion and counting linear extensions of posets. The repository provides a formal JSON ...

We present Prover Agent, a novel AI agent for automated theorem proving that integrates large language models (LLMs) with a formal proof assistant, Lean. Prover Agent coordinates an informal reasoning ...