marktechpost

Boosting AI Math Skills: How Counterexample-Driven Reasoning is Transforming Large Language Models

Mathematical Large Language Models (LLMs) have demonstrated strong problem-solving capabilities, but their reasoning ability is often constrained by pattern recognition rather than true conceptual ...
JSTOR Daily

A Counterexample to a Conjecture of J. M. Hammersley and D. J. A. Welsh concerning First-Passage Percolation

This is a preview. Log in through your library . Abstract Consider first-passage percolation on the square lattice. Hammersley and Welsh, who introduced the subject in 1965, conjectured that the ...
IEEE

Polynomial Neural Barrier Certificate Synthesis of Hybrid Systems via Counterexample Guidance

Abstract: This article presents a novel approach to the safety verification of hybrid systems by synthesizing neural barrier certificates (BCs) via counterexample-guided neural network (NN) learning ...
JSTOR Daily

A Counterexample to a Vitali Type Theorem with Respect to Hausdorff Content

This is a preview. Log in through your library . Abstract Mateu and Orobitg proved (in Lipschitz approximation by harmonic functions and some applications to spectral ...
IEEE

New Counterexamples to Sequential Composition Adaptive Insecurity

Abstract: At CRYPTO 2005, Pietrzak demonstrated an intriguing result: the sequential composition of two non-adaptively secure pseudorandom functions does not necessarily imply adaptive security, ...