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 ...

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 ...

As quantum computing develops, scientists are working to identify tasks for which quantum computers have a clear advantage over classical computers. So far, researchers have only pinpointed a handful ...

Set of problems from the contents of Design and Analysis of Algorithms. Complexity Theory, Dynamic Programming, Greedy, Flow, Divide and Conquer ...

ABSTRACT: We present a new perspective on the P vs NP problem by demonstrating that its answer is inherently observer-dependent in curved spacetime, revealing an oversight in the classical formulation ...