ABSTRACT: This paper proposes a quantum algorithm for solving the tautology and the satisfiability problems for a Boolean formula. Let’s say we are given a Boolean formula. The variables of the ...

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Source: Darren Edwards What if one of the biggest unsolved problems in mathematics is not just about numbers or computers, but about observers like you and me? This isn’t a proposed solution to P vs ...

Umama Ali spent more time as a kid arguing with his brother over who caused the most chaos in GTA Vice City than doing homework, and he’s been unapologetically hooked on games ever since. That ...

NP-complete problems, including optimal routing, scheduling and network design, are foundational to essential tasks across various industries. However, they actually pose challenges for conventional ...

Core Focus: Quantum frameworks reducing NP-complete problem complexity via geometric/topological methods. Key Mechanisms: Quantum-ordinal mapping collapses complexity to near-polynomial time (e.g., ...

As a child of the 1990s, I couldn’t avoid the game-turned-best-seller Tetris. Launched in 1984 by Russian programmer Alexey Pajitnov, Tetris quickly became a blockbuster and has had hundreds of ...

This repository presents a novel framework for reenvisioning the P vs NP problem through the synthesis of computational phase transitions, knowledge accumulation dynamics, and thermodynamic principles ...

The original version of this story appeared in Quanta Magazine. They say a bird in the hand is worth two in the bush, but for computer scientists, two birds in a hole are better still. That’s because ...