Abstract: We describe new techniques for model checking in the counterexample-guided abstraction-refinement framework. The abstraction phase "hides" the logic of various variables, hence considering ...

When Hannah Cairo started showing up at Berkeley Math Circle meetings as a teenager, nobody was betting she would topple a four-decade-old problem in harmonic analysis before she finished high school.

The original version of this story appeared in Quanta Magazine. In 1876, Peter Guthrie Tait set out to measure what he called the “beknottedness” of knots. The Scottish mathematician, whose research ...

Abstract: In software verification, a successful automated program proof is the ultimate triumph. The road to such success is, however, paved with many failed proof attempts. The message produced by ...

In 1876, Peter Guthrie Tait set out to measure what he called the “beknottedness” of knots. The Scottish mathematician, whose research laid the foundation for modern knot theory, was trying to find a ...

At just 17, homeschooled Bahamas teen Hannah Cairo upended the 40-year-old Mizohata-Takeuchi conjecture, coming up with a counterexample where none was thought possible. Now, she is headed straight ...

When Hannah Cairo was 17 years old, she disproved the Mizohata-Takeuchi conjecture, a long-standing guess in the field of harmonic analysis about how waves behave on curved surfaces. The conjecture ...

Hannah Cairo was stuck on a math problem. All she could think about during those weeks was a new approach. “After months of trying to prove the result, I managed to understand why it was so difficult.

Sergiy Korsunsky, the Ukrainian ambassador to Japan 2020-2025, has worked tirelessly since the start of Russia’s aggression against his country in February 2022 to convey the historic importance of ...

Last Friday could have passed for a lovely spring day on the Connecticut campus of Wesleyan University. Students with books and laptops dotted a green hillside; flocks of admissions visitors trailed ...

Teaching English in Year 3 involves reinforcing key grammar, punctuation and writing skills in a way that keeps pupils engaged. These Year 3 English worksheets provide structured activities to help ...