We give a constructive proof of McNaughton's theorem stating that every piecewise linear function with integral coefficients is representable by some sentence in the infinite-valued calculus of ...

The field of theorem proving and higher‐order logic represents a confluence of computer science, mathematics and formal logic. It encompasses the automated and interactive approaches to establishing ...

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

Various sources in the literature claim that the deduction theorem does not hold for normal modal or epistemic logic, whereas others present versions of the deduction theorem for several normal modal ...

NEW ORLEANS (WGNO) – Two students at a school in New Orleans have presented evidence of a mathematical discovery that scholars have been trying to prove for 2,000 years. School officials at St. Mary’s ...

Pythagoras Theorem: The Pythagoras Theorem is a fundamental principle in geometry, attributed to the ancient Greek mathematician Pythagoras. This theorem establishes a relationship between the sides ...

Two US high schoolers believe they have cracked a mathematical mystery left unproven for centuries. Calcea Johnson and Ne'Kiya Jackson looked at the Pythagorean theorem, foundational to trigonometry.

A computer-assisted proof of a 150-year-old mathematical conjecture can at last be checked by human mathematicians. The Four Colour Theorem, proposed by Francis Guthrie in 1852, states that any four ...

Chinese AI company DeepSeek has released ' DeepSeek-Prover-V2 ', the second generation model of Prover, an AI specialized in mathematical reasoning, on Hugging Face and GitHub. It is ...